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Willy A. Hereman

Willy A. Hereman

Emeritus Professor of Applied Mathematics
Research Emeritus Professor
Department of Applied Mathematics and Statistics

Biographical Data

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Education

  • Diploma of Advanced Acoustics Course; organized by the Acoustical Society of The Netherlands and the Belgian Acoustical Society, Antwerp, Belgium, 1985.
  • Ph.D., Applied Mathematics, University of Ghent, Belgium, 1982, summa cum laude. Thesis: Theoretical Aspects of Diffraction of Light using Ultrasound (Acousto-Optics).
  • M.S., Applied Mathematics, University of Ghent, Belgium, 1976, magna cum laude. Thesis: Study of Nonlinear Dynamical Resonances.
  • High School Teaching Diploma, University of Ghent, Belgium, 1976, magna cum laude.
  • B.S., Mathematics, University of Ghent, Belgium, 1974, magna cum laude.

Work Experience

1  Present Positions

  • Research Professor Emeritus, Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, November 2019-present.
  • Professor Emeritus of Applied Mathematics, Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, December 2016-present.

2  Former Positions

  • Professor (in transitional retirement), Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, August 2016-May 2019 (50% employment).
  • Professor and Head, Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, August 2012-June 2016.
  • Professor and Interim Head, Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, August 2011-August 2012.
  • Professor, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, July 1998-August 2011. Tenured since 1995.
  • Associate Professor, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, August 1989-July 1998. Tenured since 1995.
  • Van Vleck Visiting Assistant Professor, Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin, August 1986-July 1989.
  • Honorary affiliation with the Center for the Mathematical Sciences (CMS), University of Wisconsin-Madison, August 1986-July 1989.

3  Postdoctoral Fellowships

  • North Atlantic Treaty Organization (NATO) Research Fellowships, Department of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa. Visiting Faculty, September 1985-July 1986.
  • Teaching and Research Assistant for courses in Theoretical Mechanics in the Faculty of Sciences, Departments of Mathematics, Computer Sciences and Physics, and the School of Engineering at the University of Ghent, Ghent, Belgium, August 1984-September 1985.
  • North Atlantic Treaty Organization (NATO) Research Fellowships, Department of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa. Visiting Faculty, September 1983-July 1984.

Research

  • Integrability, Conservation Laws, Lax Pairs, Symmetries, and Exact Solutions of Nonlinear Partial Differential Equations (PDEs), Differential-Difference Equations (DDEs), and Partial Difference Equations
  • Nonlinear Wave Phenomena
  • Wavelets
  • Development of Symbolic Software
  • Electromagnetic Scattering and Acousto-Optical Diffraction

Together with strange attractors and chaos, solitons play a key role in nonlinear science. Solitons are stable, particle-like, nonlinear pulses which result from a critical balance between nonlinearity and dispersion. My research is concerned with nonlinear partial differential equations (PDEs) as well as discretized equations, that are completely integrable and admit exact (soliton) solutions. Such PDEs model shallow water waves, nonlinear optical pulses, currents in electrical networks, nerve pulses, waves in the atmosphere, etc.

Powerful symbolic manipulation programs such as Mathematica, Maple, Macsyma, and REDUCE offer virtually unlimited potential to do mathematics on a computer. The “symbol-crunching” capabilities of such software packages allow one to investigate properties of nonlinear equations without having to do the tedious algebra and calculus with pen and paper.

My research is currently focused on designing symbolic tools that help establish the integrability of certain nonlinear PDEs, differential-difference equations, and partial difference equations. I have designed symbolic programs for the Painlevé test, and codes to calculate Lie-point and generalized symmetries, conservation laws, Lax pairs, recursion operators, and exact solutions, including solitary wave and soliton solutions. Since 1991, these research projects have been supported by the National Science Foundation.

From my student days in Belgium, my curiosity was kindled by real-world applications of mathematics; I was happy to see what “all that math stuff was finally used for.” My doctoral dissertation dealt with the mathematics of acousto-optics: the interaction of ultrasound and laser light. Engineering applications of acousto-optics include radar signal processing, nondestructive testing, optical computing, laser shows, and medical scanners. These research projects were supported in part by the North Atlantic Treaty Organization (NATO). I have returned to scattering problems later in my career. For example, I investigated the scattering of waves from rough surfaces, as part of a project sponsored by the Air Force Office of Scientific Research (AFOSR). With colleagues at the University of Colorado in Boulder, I also worked on the theory and applications of wavelets.

I like to be surrounded by a group of undergraduate and graduate students and work together on symbolic programs and applied mathematics projects.

I have been involved in solving problems from industry and government agencies, including the design of speakers, the development of a GPS-like positioning system for equipment in an open-pit coal mine, and a risk analysis of gas/oil flowlines.

Publications

  • For publication list and citation metrics from Web of Science, go to PUBLONS Publication Metrics. May require access to Web of Science or Publons. Or go to ORCID Publication List. Requires access to Orcid.
  • For publication list and citation metrics from Google Scholar go to Google Scholar Publication Metrics. Open access.
  • Synopsis: 1 edited book, 1 special issue of journal, 1 book chapter in press, 11 contributions to books, 1 journal paper in preparation, 66 papers in refereed research journals, 29 papers in refereed conference proceedings, 8 in non-refereed proceedings, 3 featured book reviews, 10 additional book reviews (not listed), 2 research monographs, 8 technical reports, 2 theses, and 28 conference abstracts (not listed).
  • The Ph.D. Dissertations and Masters Theses of my students are under item 10 below.

 

1  Edited Books

  1. C.W. Curtis, A. Dzhamay, W.A. Hereman, and B. Prinari, Eds., Preface: Nonlinear Wave Equations: Analytic and Computational Techniques, American Mathematical Society (AMS) Contemporary Mathematics Series, vol. 635, AMS, Providence, RI (2015).

2  Special Issues of Journals

  1. W. Hereman, Editor, Special Issue on Continuous and Discrete Integrable Systems with Applications, Applicable Analysis, vol. 89 (4), pp. 429-644 (2010).

3  Contributions in Books

Submitted/Accepted

  1. W. Hereman and Ü. Göktas, Symbolic Computation of Solitary Wave Solutions and Solitons Through Homogenization of Degree. In: Nonlinear and Modern Mathematical Physics: Proceedings of the 6th Workshop on Nonlinear and Modern Mathematical Physics (NMMP-2022), Eds.: S. Manukure and W.-X. Ma, Springer Verlag, New York, 61pp (2024) in press.

Published

  1. T.J. Bridgman and W. Hereman, Lax Pairs for Edge-constrained Boussinesq Systems of Partial Difference Equations. In: Nonlinear Systems and Their Remarkable Mathematical Structures, Vol.2, Eds.: N. Euler and C.M. Nucci, Chapman and Hall/CRC Press, Boca Raton, Florida, Part A, Chapter A3, pp. 59-88 (2019).
  2. W. Hereman, The Korteweg-de Vries Equation. In: The Princeton Companion to Applied Mathematics, Eds.: N. J. Higham et al, Princeton University Press, Cambridge, Massachusetts, Part III.16, p. 150 (2015).
  3. Ü. Göktas and W. Hereman, Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations, In: Dynamical Systems and Methods, Eds.: A. Luo, J.. Machado, and D. Baleanu, Springer Verlag, New York, Chapter 7, pp. 153-168 (2011).
  4. W. Hereman, P.J. Adams, H.L. Eklund, M.S. Hickman, and B.M. Herbst, Direct Methods and Symbolic Software for Conservation Laws of Nonlinear Equations. In: Advances in Nonlinear Waves and Symbolic Computation, Ed.: Z. Yan, Nova Science Publishers, New York, Chapter 2, pp. 19-79 (2009).
  5. W. Hereman, Shallow Water Waves and Solitary Waves. In: Encyclopedia of Complexity and Systems Science, Ed.: R.A. Meyers, Springer Verlag, Heibelberg, Germany, Entry 480, pp. 8112-8125 (2009). Reprinted in: Mathematics of Complexity and Dynamical Systems — Selected entries from the Encyclopedia of Complexity and Systems Science, Ed.: R.A. Meyers, Springer Verlag, Heidelberg, Germany, pp. 1520-1532 (2013). Updated version of paper appeared in: Solitons – A Volume of Encyclopedia of Complexity and Systems Science, 2nd ed., Ed.: M.A. Helal, Springer Verlag, New York, 2022, pp. 203-220. Erratum: Fig. 5 should be replaced by `Corrected Fig. 5′.
  6. W. Hereman, M. Colagrosso, R. Sayers, A. Ringler, B. Deconinck, M. Nivala, and M.S. Hickman, Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws. In: Differential Equations with Symbolic Computation, Trends in Mathematics, Eds.: D. Wang and Z. Zheng, Birkhäuser Verlag, Basel, Switzerland, Chapter 15, pp. 255-290 (2005).
  7. W. Hereman, Painlevé Theory. In: Computer Algebra Handbook: Foundations, Applications, Systems. Eds.: J. Grabmeier, E. Kaltofen, and V. Weispfenning, Springer Verlag, Berlin, Germany, Ch. 2 (Symbolic Methods for Differential Equations), Section 2.11, Chapter 2, pp. 96-109 (2002).
  8. W. Hereman and Ü. Göktas, Integrability Tests for Nonlinear Evolution Equations, Computer Algebra Systems: A Practical Guide, Chapter 12, Ed.: M. Wester, Wiley and Sons, New York, pp. 211-232 (1999).
  9. W. Hereman, Lie Symmetry Analysis with Symbolic Software. In: Encyclopedia of Mathematics, Supplement Volume I, Ed.: M. Hazewinkel, Kluwer Academic Publishers, Dordrecht, The Netherlands, pp. 351-355 (1998).
  10. W. Hereman, Symbolic Software for Lie Symmetry Analysis. In: CRC Handbook of Lie Group Analysis of Differential Equations, Volume 3: New Trends in Theoretical Developments and Computational Methods, Ed.: N.H. Ibragimov, CRC Press, Boca Raton, Florida, Chapter 13, pp. 367-413 (1996).
  11. R.A. Mertens, W. Hereman, and J.-P. Ottoy, The Raman-Nath equations revisited. II. Oblique incidence of the light — Bragg reflection, Selected Papers on Acousto-optics, Ed.: A. Korpel, SPIE Milestone Series, SPIE Optical Engineering Press, Bellingham, Washington, vol. MS 16, pp. 444-448 (1990).

4  Featured Book Reviews

Published

  1. W. Hereman, Involution: The Formal Theory of Differential Equations and Its Applications in Computer Algebra by Werner Seiler, Springer-Verlag, Heidelberg, 2010, SIAM Review, vol. 53 (3), pp. 589-591 (2011).
  2. W. Hereman, Featured Review: The Mathematica GuideBook for Numerics and the Mathematica GuideBook for Symbolics by Michael Trott, Springer-Verlag, New York, 2006, SIAM Review, vol. 49 (1), pp. 123-129 (2007).
  3. W. Hereman, Featured Review: The Mathematica GuideBook for Programming and the Mathematica GuideBook for Graphics by Michael Trott, Springer-Verlag, New York, 2004, SIAM Review, vol. 47 (4), pp. 801-806 (2006).

5  In Refereed Journals

Published

  1. P. P. Banerjee, M. R. Chatterjee, W. Hereman, D. Mehrl, R. J. Pieper, and T.-C. Poon, Adrian Korpel: A Life in Science, Optics & Photonics News, December 2022, pp. 18-20 (2022).
  2. F. Verheest and W. A. Hereman, Overtaking interaction of two weakly nonlinear acoustic solitons in plasmas at critical densities, Journal of Plasma Physics, vol. 85(1), art. no. 905850106, 15 pages (2019).
  3. S. C. Mancas and W. Hereman, Traveling wave solutions to fifth and seventh-order Korteweg-de-Vries equations: Sech and cn solutions, Journal of the Physical Society of Japan, vol. 87(11), art. no. 114002, 8 pages (2018).
  4. C. P. Olivier, F. Verheest, and W. Hereman, Collision properties of overtaking supersolitons with small amplitudes, Physics of Plasmas, vol. 25(3), art. no. 032309, 6 pages (2018).
  5. F. Verheest, C. P. Olivier, and W. Hereman, Modified Korteweg-de Vries solitons at supercritical densities in two-electron temperature plasmas, Journal of Plasma Physics, vol. 82(2), art. no. 905820208, 13 pages (2016).
  6. T. Bridgman, W. Hereman, G. R. W. Quispel, and P. H. van der Kamp, Symbolic computation of Lax pairs of partial difference equations using consistency around the cube, Foundations of Computational Mathematics, vol. 13 (4), pp. 517-544 (2013). Misprints (also in the printed paper): In equation (5.a), p should be k. In (5.b), q should be k.
  7. F. Verheest, M. A. Hellberg, and W. Hereman, Head-on Collisions of Electrostatic Solitons in Multi-Ion Plasmas, Physics of Plasmas, vol. 19 (9), art. no. 092302, 7 pages (2012).
  8. F. Verheest, M. A. Hellberg, and W. Hereman, Head-on Collisions of Electrostatic Solitons in Nonthermal Plasmas, Physical Review E, vol. 86 (3), art. no. 036402, 9 pages (2012).
  9. M. Hickman, W. Hereman, J. Larue, Ü. Göktas, Scaling invariant Lax pairs of nonlinear evolution equations, Applicable Analysis, vol. 91 (2), pp. 381-402 (2012). Correction: As pointed out by Talati and Sakovich, the operators in Case II for the Sawada-Kotera equation (Section 7) are equivalent to those for Case I by applying Dx on the left and Dx-1 on the right. The preprint version (linked above) also corrects a few trivial misprints in the published version.
  10. D. Poole and W. Hereman, Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions, Journal of Symbolic Computation, vol. 46 (12), pp. 1355-1377 (2011).
  11. Ü. Göktas and W. Hereman, Symbolic computation of recursion operators for nonlinear differential-difference equations, Mathematical and Computational Applications, vol. 16 (1), pp. 1-12 (2011).
  12. D. Baldwin and W. Hereman, A symbolic algorithm for computing recursion operators of nonlinear partial differential equations, International Journal of Computer Mathematics, vol. 87 (5), pp. 1094-1119 (2010).
  13. W. Hereman, Foreword to the Special Issue on Continuous and Discrete Integrable Systems with Applications, Applicable Analysis, vol. 89 (4), pp. 429-431 (2010).
  14. D. Poole and W. Hereman, The homotopy operator method for symbolic integration by parts and inversion of divergences with applications, Applicable Analysis, vol. 89 (4), pp. 433-455 (2010).
  15. M. Grundland, W. Hereman, and Ï. Yurdusen, Conformally parametrized surfaces associated with CPN sigma models, Journal of Physics A: Mathematical and Theoretical, vol. 41 (6), art. no. 065204, 28 pages (2008).
  16. W. Hereman, B. Deconinck, and L. D. Poole, Continuous and discrete homotopy operators: A theoretical approach made concrete, Mathematics and Computers in Simulation, vol. 74 (4-5), pp. 352-360 (2007).
  17. D. Baldwin and W. Hereman, Symbolic software for the Painlevé test of nonlinear differential ordinary and partial equations, Journal of Nonlinear Mathematical Physics, vol. 13 (1), pp. 90-110 (2006).
  18. W. Hereman, Symbolic computation of conservation laws of nonlinear partial differential equations in multi-dimensions, International Journal of Quantum Chemistry, vol. 106 (1) pp. 278-299 (2006).
  19. D. Baldwin, Ü. Göktas, and W. Hereman, Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations, Computer Physics Communications, vol. 162 (3), pp. 203-217 (2004).
  20. D. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R.S. Martino, and J.C. Miller, Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs, Journal of Symbolic Computation, vol. 37 (6), pp. 669-705 (2004).
  21. M. Hickman and W. Hereman, Computation of densities and fluxes of nonlinear differential-difference equations, Proceedings Royal Society of London A, vol. 459 (2039), pp. 2705-2729 (2003).
  22. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Application of wavelet transforms for solving integral equations that arise in rough surface scattering, IEEE Antennas and Propagation Magazine, vol. 43 (6), pp. 55-62 (2001).
  23. J. DeSanto, G. Erdmann, W. Hereman, B. Krause, M. Misra, and E. Swim, Theoretical and computational aspects of scattering from rough surfaces: Two-dimensional transmission surfaces using the spectral-coordinate method, Waves in Random Media, vol. 11 (4), pp. 489-526 (2001).
  24. J. DeSanto, G. Erdmann, W. Hereman, B. Krause, M. Misra, and E. Swim, Theoretical and computational aspects of scattering from rough surfaces: Two-dimensional perfectly reflecting surfaces using the spectral-coordinate method, Waves in Random Media, vol. 11 (4), pp. 455-487 (2001).
  25. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and computational aspects of scattering from rough surfaces: One-dimensional transmission interface, Waves in Random Media, vol. 11 (4), pp. 425-453 (2001).
  26. F. Verheest, W. Hereman, and W. Malfliet, Comments on “A new mathematical approach for finding the solitary waves in dusty plasma”, Physics of Plasmas, vol. 6 (11), pp. 4392-4394 (1999).
  27. Ü. Göktas and W. Hereman, Algorithmic computation of higher-order symmetries for nonlinear evolution and lattice equations, Advances in Computational Mathematics, vol. 11 (1), pp. 55-80 (1999).
  28. L. Monzón, G. Beylkin, and W. Hereman, Compactly supported wavelets based on almost interpolating and nearly linear phase filters (Coiflets), Applied and Computational Harmonic Analysis, vol. 7 (2), pp. 184-210 (1999).
  29. W. Hereman, Ü. Göktas, M. Colagrosso, and A. Miller, Algorithmic integrability tests for nonlinear differential and lattice equations, Computer Physics Communications, vol. 115 (2-3), pp. 428-446 (1998).
  30. Ü. Göktas and W. Hereman, Computation of conservation laws for nonlinear lattices, Physica D, vol. 123 (1-4), pp. 425-436 (1998).
  31. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and computational aspects of scattering from rough surfaces: One-dimensional perfectly reflecting surfaces, Waves in Random Media, vol. 8 (4), pp. 385-414 (1998).
  32. W. Navidi, W. Murphy, Jr., and W. Hereman, Statistical methods in surveying by trilateration, Computational Statistics and Data Analysis, vol. 27 (2), pp. 209-227 (1998).
  33. Ü. Göktas and W. Hereman, Symbolic computation of conserved densities for systems of nonlinear evolution equations, Journal of Symbolic Computation, vol. 24 (5), pp. 591-621 (1997).
  34. Ü. Göktas, W. Hereman, and G. Erdmann, Computation of conserved densities for systems of nonlinear differential-difference equations, Physics Letters A, vol. 236 (1-2), pp. 30-38 (1997).
  35. W. Hereman, Review of symbolic software for Lie symmetry analysis, Mathematical and Computer Modelling, vol. 25 (8-9), pp. 115-132 (1997).
  36. W. Hereman and A. Nuseir, Symbolic methods to construct exact solutions of nonlinear partial differential equations, Mathematics and Computers in Simulation, vol. 43 (1), pp. 13-27 (1997). Misprint: In eq. (55), the term (k14+k24) in between (k12+k32) and (k26+k12 k22 k32) should be (k14 + k34).
  37. W. Malfliet and W. Hereman, The tanh method: II. Perturbation technique for conservative systems, Physica Scripta, vol. 54 (6), pp. 569-575 (1996).
  38. W. Malfliet and W. Hereman, The tanh method: I. Exact solutions of nonlinear evolution and wave equations, Physica Scripta, vol. 54 (6), pp. 563-568 (1996).
  39. W. Hereman, Computer algebra: lightening the load, Physics World, vol. 9 (3), pp. 47-52, March 1996.
  40. R. Willox, W. Hereman and F. Verheest, Complete integrability of a modified vector derivative nonlinear Schrödinger equation, Physica Scripta, vol. 52 (1), pp. 21-26 (1995).
  41. W. Hereman and W. Zhuang, Symbolic software for soliton theory, Acta Applicandae Mathematicae, vol. 39 (1-3), pp. 361-378 (1995).
  42. W. Hereman, Visual data analysis: maths made easy, Physics World, vol. 8 (4), pp. 49-53, April 1995.
  43. F. Verheest and W. Hereman, Conservation laws and solitary wave solutions for generalized Schamel equations, Physica Scripta, vol. 50 (6), pp. 611-614 (1994).
  44. W. Hereman, Review of symbolic software for the computation of Lie symmetries of differential equations, Euromath Bulletin, vol. 1 (2), pp. 45-82 (1994).
  45. W. Hereman, W.-H. Steeb, and N. Euler, Comment on: `Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions’, Journal of Physics A: Mathematical and General, vol. 25 (8), pp. 2417-2418 (1992).
  46. W.-H. Steeb, N. Euler, and W. Hereman, A note on the Zakharov equation and Lie symmetry vector fields, Nuovo Cimento B (Note Brevi), vol. 107 (10), pp. 1211-1213 (1992).
  47. R.A. Mertens, W. Hereman, and J.-P. Ottoy, Approximate and numerical methods in Acousto-optics : Part 2. Oblique incidence of the light — Bragg Reflection, Academiae Analecta, vol. 53 (1), pp. 27-59 (1991).
  48. B. Champagne, W. Hereman, and P. Winternitz, The computer calculation of Lie point symmetries of large systems of differential equations, Computer Physics Communications, vol. 66 (2-3), pp. 319-340 (1991).
  49. W. Hereman, Exact solitary wave solutions of coupled nonlinear evolution equations using Macsyma, Computer Physics Communications, vol. 65 (1-3), pp. 143-150 (1991).
  50. W. Hereman and M. Takaoka, Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA, Journal of Physics A: Mathematical and General, vol. 23 (21), pp. 4805-4822 (1990).
  51. F. Verheest, W. Hereman, and H. Serras, Possible chaotic pulsations in ZZ Ceti and rapidly oscillating Ap stars due to nonlinear harmonic mode coupling, Monthly Notices of the Royal Astronomical Society, vol. 245 (3), pp. 392-396 (1990).
  52. P.P. Banerjee, F. Daoud and W. Hereman, A straightforward method for finding implicit solitary wave solutions of nonlinear evolution and wave equations, Journal of Physics A: Mathematical and General, vol. 23 (4), pp. 521-536 (1990).
  53. W. Hereman and S. Angenent, The Painlevé test for nonlinear ordinary and partial differential equations, MACSYMA Newsletter, vol. 6 (1), pp. 11-18 (1989).
  54. W. Hereman, P.P. Banerjee, and M. Chatterjee, Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg-de Vries equation, Journal of Physics A: Mathematical and General, vol. 22 (3), pp. 241-255 (1989).
  55. R.A. Mertens, W. Hereman, and J.-P. Ottoy, Approximate and numerical methods in Acousto-optics: Part 1. Normal incidence of the light, Academiae Analecta, vol. 50 (1), pp. 9-50 (1988).
  56. R. Pieper, A. Korpel, and W. Hereman, Extension of the Acousto-optic Bragg regime through Hamming apodization of the sound field, Journal of the Optical Society of America A: Optics and Image Science, vol. 3 (10), pp. 1608-1619 (1986).
  57. W. Hereman, P.P. Banerjee, A. Korpel, G. Assanto, A. Van Immerzeele, and A. Meerpoel, Exact solitary wave solutions of non-linear evolution and wave equations using a direct algebraic method, Journal of Physics A: Mathematical and General, vol. 19 (5), pp. 607-628 (1986).
  58. W. Hereman, Contribution to the theoretical study of the diffraction of ordinary and laser light by an ultrasonic wave in a liquid, Academiae Analecta, vol. 48 (1), pp. 23-52 (1986).
  59. W. Hereman, A. Korpel, and P.P. Banerjee, A general physical approach to solitary wave construction from linear solutions, Wave Motion, vol. 7 (3), pp. 283-290 (1985).
  60. W. Hereman, R.A. Mertens, F. Verheest, O. Leroy, J.M. Claeys, and E. Blomme, Interaction of light and ultrasound: Acousto-optics, Physicalia Magazine, vol. 6 (4), pp. 213-245 (1984).
  61. R.A. Mertens, W. Hereman. and R. De Spiegeleere, On the exact theory of tops rising by friction, Zeitschrift für Angewandte Mathematik und Mechanik (Journal of Applied Mathematics and Mechanics), vol. 62 (4), pp. T58-T60 (1982).
  62. F. Verheest and W. Hereman, Nonlinear mode decoupling for classes of evolution equations, Journal of Physics A: Mathematical and General, vol. 15 (1), pp. 95-102 (1982).
  63. W. Hereman, F. Verheest, and R.A. Mertens, Acousto-optic diffraction of intense laser light in a liquid, Acustica, vol. 48 (1), pp. 1-9 (1981).
  64. W. Hereman, Diffraction of light by an amplitude-modulated ultrasonic wave at normal and oblique incidence of the light, Simon Stevin (now: The Bulletin of the Belgian Mathematical Society — Simon Stevin), vol. 54 (3-4), pp. 193-211 (1980).
  65. F. Verheest and W. Hereman, Nonresonant mode coupling for classes of Korteweg-de Vries equations, Journal of the Physical Society of Japan, vol. 47 (6), pp. 2007-2012 (1979).
  66. W. Hereman and R.A. Mertens, On the diffraction of light by an amplitude-modulated ultrasonic wave, Wave Motion, vol. 1 (4), pp. 287-298 (1979).

6  In Refereed Conference Proceedings

  1. Ü. Göktas and W. Hereman, Symbolic computation of conservation laws, generalized symmetries, and recursion operators for nonlinear differential-difference equations, Proceedings of the Third Conference on Nonlinear Science and Complexity (NSC 2010), Ankara, Turkey, July 28-31, 2010, Eds.: D. Baleanu, Z.B. Guvenc, and O. Defterli, Cankaya University Publications, Ankara, Turkey, Symposium 15, Article ID 89, 6 pages.
  2. Ü. Göktas; and W. Hereman, Symbolic computation of recursion operators for nonlinear differential-difference equations, Proceedings of the First International Symposium on Computing in Science and Engineering (ISCSE 2010), Kusadasi, Aydin, Turkey, June 3-5, 2010, Ed.: Ï. Gürler, Gediz University Publications, Izmir, Turkey (2010), pp. 27-33.
  3. J. de la Porte, B.M. Herbst, W. Hereman and S.J. van der Walt, An introduction to diffusion maps, Proceedings of the 19th Symposium of the Pattern Recognition Association of South Africa (PRASA 2008), Cape Town, South Africa, November 26-28, 2008, Ed.: F. Nicolls, University of Cape Town, Cape Town, South Africa (2008), pp. 15-25.
  4. W. Hereman and W. Malfliet, The tanh method: A tool to solve nonlinear partial differential equations with symbolic software, 9th World Multiconference on Systemics, Cybernetics, and Informatics (WMSCI 2005), Eds.: N. Callaos and W. Lesso, Orlando, Florida, July 10-13, 2005, vol. 3, pp. 165-168. Correction: The published version has a misprint in eqs. (22) and (23). k = 1/(2 sqrt{6}) intead of k = (1/2) sqrt{6}. The link above connects to the corrected paper.
  5. W. Hereman, J.A. Sanders, J. Sayers, and J.P. Wang, Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations, Group Theory and Numerical Analysis, CRM Proceedings and Lecture Series 39, Eds.: P. Winternitz, D. Gomez-Ullate, A. Iserles, D. Levi, P.J. Olver, R. Quispel, and P. Tempesta, American Mathematical Society, Providence, Rhode Island (2005), pp. 133-148.
  6. D. Baldwin, W. Hereman, and J. Sayers, Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs, Group Theory and Numerical Analysis, CRM Proceedings and Lecture Series 39, Eds.: P. Winternitz, D. Gomez-Ullate, A. Iserles, D. Levi, P.J. Olver, R. Quispel, and P. Tempesta, American Mathematical Society, Providence, Rhode Island (2005), pp. 17-32.
  7. M. Hickman and W. Hereman, Computation of densities and fluxes of nonlinear differential-difference equations, Proceedings Sixth Asian Symposium on Computer Mathematics, Beijing China, April 17-19, 2003, Eds. Z. Li and W. Sit, World Scientific Publishing, Singapore (2003), pp. 163-173.
  8. Ü. Göktas and W. Hereman, Invariants and symmetries for partial differential equations and lattices, Proceedings Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Ed.: J.A. DeSanto, Colorado School of Mines, Golden, Colorado, June 1-5, 1998, SIAM, Philadelphia (1998), pp. 403-407.
  9. W. Hereman and W. Zhuang, Symbolic software for soliton theory, Proceedings of Conference KdV ’95, April 1995, Amsterdam, The Netherlands, Eds.: M. Hazewinkel, H.W. Capel, and E.M. de Jager, Kluwer Academic Publishers, Dordrecht, The Netherlands (1995), pp. 361-378.
  10. W. Hereman, L. Marchildon, and M. Grundland, Lie point symmetries of classical field theories, Proceedings of the XIX International Colloquium, Salamanca, Spain, June 29-July 4, 1992, Anales de Física. Monografías, Group Theoretical Methods in Physics, vol. 1, Eds.: M.A. del Olmo, M. Santander, and J. Mateos Guilarte, Real Sociedad Española de Física, Madrid, Spain (1993), pp. 402-405.
  11. W. Hereman, SYMMGRP.MAX and other symbolic programs for Lie symmetry analysis of partial differential equations, Exploiting Symmetry in Applied and Numerical Analysis, Lectures in Applied Mathematics 29, Proceedings of the AMS-SIAM Summer Seminar, Fort Collins, July 26-August 1, 1992, Eds.: E. Allgower, K. Georg, and R. Miranda, American Mathematical Society, Providence, Rhode Island (1993), pp. 241-257.
  12. W. Hereman and W. Zhuang, Symbolic computation of solitons with Macsyma, Computational and Applied Mathematics II: Differential Equations. Eds.: W.F. Ames and P.J. van der Houwen, North Holland, Amsterdam The Netherlands (1992), pp. 287-296.
  13. F. Verheest and W. Hereman, Chaotic pulsations in variable stars with harmonic mode coupling, Research Reports in Physics, Nonlinear Dynamics, Proceedings of the Conference on Aspects of Nonlinear Dynamics: Solitons and Chaos, Free University of Brussels, Brussels, Belgium, December 6-8, 1990, Eds.: I. Antoniou and F.J. Lambert, Springer Verlag, Berlin Germany (1991), pp. 166-170.
  14. R.A. Mertens, W. Hereman, and J.-P. Ottoy, The N-th order approximation method in acousto-optics and the condition for ‘pure’ Bragg reflection, Proceedings of the Symposium on Physical Acoustics: Fundamental and Applications, University of Leuven at Kortrijk, Kortrijk, Belgium, June 19-22, 1990, Eds.: O. Leroy and M.A. Breazeale, Plenum Press, New York (1991), pp. 505-509.
  15. W. Hereman and W. Zhuang, A MACSYMA program for the Hirota method, Proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics, Dublin, July 22-26, 1991, Eds.: R. Vichnevetsky and J.J.H. Miller, Criterion Press, Dublin Ireland (1991), vol. 2, pp. 842-843. Also available: W. Hereman and W. Zhuang, Symbolic computation of solitons via Hirota’s bilinear method, Technical Report, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1994), 33 pages.
  16. W. Hereman, Application of a Macsyma program for the Painlevé test to the Fitzhugh-Nagumo equation, Partially Integrable Evolution Equations in Physics, Proceedings of the Summer School for Theoretical Physics, Les Houches, France, March 21-28, 1989, Eds.: R. Conte and N. Boccara, Kluwer Academic Publishers, Dordrecht, The Netherlands (1990), Contributed Papers, pp. 585-586.
  17. W. Hereman and E. Van den Bulck, MACSYMA program for the Painlevé test of nonlinear ordinary and partial differential equations, Proceedings of the Workshop on Finite Dimensional Integrable Nonlinear Dynamical Systems, Eds.: P.G.L. Leach and W.-H. Steeb, Johannesburg, South Africa, January 11-15, 1988. World Scientific, Singapore (1988), pp. 117-129.
  18. A. Defebvre, R.A. Mertens, J.-P. Ottoy and W. Hereman, Experimental testing of truncated Raman-Nath system solutions, Proceedings Ultrasonics International ’87, London, United Kingdom, July 6-9, 1987, Butterworth and Co., Oxford, United Kingdom (1987), pp. 78-83.
  19. R.A. Mertens, W. Hereman, and J.-P. Ottoy, The Raman-Nath equations revisited. II. Oblique incidence of the light – Bragg reflection, Proceedings Ultrasonics International ’87, London, United Kingdom, July 6-9, 1987, Butterworth and Co., Oxford, United Kingdom (1987), pp. 84-89.
  20. R.A. Mertens, J.-P. Ottoy, and W. Hereman, Numerical integration of the truncated Raman-Nath system, Congress Proceedings of the 12th International Congress on Acoustics, Toronto, Canada, July 24-31, 1986, vol. 2, p. G7-1.
  21. R.A. Mertens, W. Hereman and J.-P. Ottoy, The Raman-Nath equations revisited, Proceedings Ultrasonics International ’85, London, United Kingdom, July 2-5, 1985, Butterworth and Co., Guildford, United Kingdom (1985), pp. 422-428.
  22. R.A. Mertens and W. Hereman, On the diffraction of light by adjacent parallel ultrasonic waves. A general theory, Proceedings Ultrasonics International ’83, Halifax, Canada, July 12-14, 1983, Butterworth and Co., Guildford, United Kingdom (1983), pp. 282-288.
  23. W. Hereman, Acousto-optic diffraction of intense laser light in an isotropic medium (including third harmonic generation), Proceedings of the Second Spring School on Acousto-optics and Applications, Gdansk, Poland, May 24-29, 1983, pp. 206-223.
  24. R.A. Mertens and W. Hereman, Diffraction of light by ultrasonic waves in the case of oblique incidence of the light. General theory and approximations, Proceedings of the Second Spring School on Acousto-optics and Applications, Gdansk, Poland, May 24-29, 1983, pp. 9-31.
  25. W. Hereman and R.A. Mertens, On the diffraction of light by ultrasonic waves in the Bragg case, Revue d’Acoustique, 11th International Congress on Acoustics, Paris, France, July 19-27, 1983, vol. 2, pp. 287-290.
  26. W. Hereman, F. Verheest and R.A. Mertens, On the Acousto-optics of an intense laser beam in a liquid, Proceedings Ultrasonics International ’81, Brighton, United Kingdom, June 30-July 2, 1981, Butterworth and Co., Guildford, United Kingdom (1981) pp. 104-109.
  27. R.A. Mertens, W. Hereman, and F. Verheest, Some recent developments in the theory of diffraction of light by ultrasonic waves, Proceedings of the First Spring School on Acousto-optics and Applications, Gdansk, Poland, May 26-30, 1980, pp. 33-51.
  28. F. Verheest and W. Hereman, Limitations of the description of nonlinear plasma phenomena through wave-wave interaction, Proceedings International Conference on Plasma Physics, Nagoya, Japan, April 7-11, 1980, l0P-II-01, vol. 1, p. 386.
  29. R.A. Mertens and W. Hereman, Über die Raman-Nathsche Theorie der Beugung des Lichtes an Ultraschallwellen, Fortschritte der Akustik DAGA ’80, München, Germany, March 10-13, 1980, VDE-Verlag, Berlin, Germany (1980), pp. 563-566.

7  In Unrefereed Conference Proceedings

  1. W. Hereman and A. Nuseir, Symbolic methods to find exact solutions of nonlinear PDEs, Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics, Atlanta, Georgia, July 11-15, 1994, Ed.: W.F. Ames, IMACS, New Brunswick (1994), vol. 1, pp. 222-225.
  2. W. Hereman, Symbolic software for the study of nonlinear partial differential equations, Advances in Computer Methods for Partial Differential Equations VII, Proceedings of the 7th IMACS International Conference on Computer Methods for Partial Differential Equations, Rutgers University, New Brunswick, New Jersey, June 22-24, 1992, Eds.: R. Vichnevetsky, D. Knight, and G. Richter, IMACS, New Brunswick, New Jersey (1993), pp. 326-332.
  3. W. Hereman, Solitary wave solutions of coupled nonlinear evolution equations using Macsyma, Proceedings of IMACS 1st International Conference on Computational Physics, Eds.: K. Gustafson and W. Wyss, University of Colorado, Boulder, Colorado, June 11-15, 1990, pp. 150-153.
  4. R.A. Mertens, W. Hereman, F. Verheest, and J.-P. Ottoy, Theoretical acousto-optics: exact, approximate and numerical methods, “Book of Abstracts”, Proceedings of Workshop V on (nonlinear) stability, University of Antwerp, Antwerp, Belgium, September 11-23, 1990, Ed.: D.K. Callebaut, UIA Press, Antwerp, Belgium (1990), pp. 45-50.
  5. W. Hereman, The construction of implicit and explicit solitary wave solutions of nonlinear partial differential equations, Proceedings of the Conference on Applied Mathematics in Honor of Professor A.A. Ashour, 3-6 January, 1987, Cairo, Egypt (1988), pp. 291-312.
  6. W. Hereman, P.P. Banerjee, and D. Faker, The construction of solitary wave solutions of the Korteweg-de Vries equation via Painlevé analysis, Proceedings of Workshop WASDA III: Wave and Soliton Days Antwerp, University of Antwerp, June 2-3, 1988, Eds.: D.K. Callebaut and W. Malfliet, UIA Press, Antwerp, Belgium (1988), vol. II, pp. 166-191.
  7. P.P. Banerjee, W. Choe, G. Cao, and W. Hereman, Stationary eigenmodes and their stability during wave propagation in a medium with quadratic and cubic nonlinearities without dispersion, Proceedings of Workshop WASDA III: Wave and Soliton Days Antwerp, Antwerp, Belgium, June 2-3, 1988, Eds.: D.K. Callebaut and W. Malfliet, UIA Press, Antwerp, Belgium (1988), vol. II, pp. 143-165.
  8. F. Verheest and W. Hereman, Wave decoupling for the Sharma-Tasso-Olver and higher-order Korteweg-de Vries equations, Proceedings of Workshop II on (nonlinear) Stability in Magneto-hydro-dynamics, University of Antwerp, Antwerp, Belgium, September 1-30, 1980, Ed.: D.K. Callebaut, UIA Press, Antwerp, Belgium (1980), pp. 125-137.

8  Technical Reports

  1. J. DeSanto, G. Erdmann, W. Hereman, B. Krause, M. Misra, and E. Swim, Theoretical and computational aspects of scattering from rough surfaces: Two-dimensional surfaces, Technical Report # 4 MURI Project, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1980), 183 pages.
  2. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and computational aspects of scattering from rough surfaces: One-dimensional transmission interface, Technical Report # 3 MURI Project, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (2000), 121 pages.
  3. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and computational aspects of scattering from rough surfaces: One-dimensional perfectly reflecting surfaces, Technical Report MCS-97-09 MURI Project, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1997), 62 pages.
  4. J. Boleng, C. Craig, J. DeSanto, G. Erdmann, W. Hereman, M. Khebchareon, M. Misra, and A. Sinex, Computational modeling of rough surface scattering, Technical Report MCS-96-09 MURI Project, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1996), 40 pages.
  5. W. Murphy and W. Hereman, Determination of a position in three dimensions using trilateration and approximate distances, Technical Report MCS-95-07, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1995), 19 pages.
  6. W. Hereman and W. Murphy, Manual for Trilateration Program: Determination of a position in three dimensions using trilateration and approximate distances, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1991), 22 pages.
  7. W. Hereman and W. Zhuang, Symbolic computation of solitons via Hirota’s bilinear method, Technical Report, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1994), 33 pages.
  8. W. Hereman, Y. Nagel and J. Strikwerda, Macsyma at CMS version 309.3: An introduction to symbolic mathematical computation, CMS Technical Summary Report # 88-3, Department of Mathematics & Center for the Mathematical Sciences, The University of Wisconsin, Madison, Wisconsin (1987), 21 pages.

9  Theses

  1. W. Hereman, Theoretische Aspecten van Akoesto-Optische Diffractie (Theoretical Aspects of Acousto-optical Diffraction), Ph.D. Dissertation, University of Ghent, Ghent, Belgium, June 1982, 247 pages, 5 figures, in Dutch.
  2. W. Hereman, Asymtotische Storingsmethodes in de Studie van Niet-lineaire Resonanties (The Krylov-Bugoliubov-Mitropolski Method and the Two-Timescales Averaging Method for the Study of Nonlinear Dynamical Resonances), Master of Science Thesis, University of Ghent, Ghent, Belgium (1976), 215 pages, in Dutch.

10  Research Monographs

  1. W. Hereman, Theoretische Aspecten van Akoesto-Optische Diffractie (Theoretical Aspects of Acousto-optical Diffraction), Research Monograph, prepared for the Royal Academy of Sciences, Literature and Fine Arts of Belgium; University of Ghent, Ghent, Belgium (1985), 260 pages, 5 figures, in Dutch.
  2. W. Hereman, Een Bijdrage tot de Theoretische Studie van de Diffractie van Gewoon en Laserlicht door een Ultrageluidsgolf in een Vloeistof, Thesis written for a Contest of the Royal Academy of Sciences, Literature and Fine Arts of Belgium; University of Ghent, Ghent, Belgium (1984), 143 pages, in Dutch.

11  Ph.D. Dissertations and Masters Theses of Hereman’s Students

  1. T.J. Bridgman, Symbolic Computation of Lax Pairs of Nonlinear Partial Difference Equations, Ph.D. Thesis, Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, August 2018 (defended: April 2018).
  2. J. Rezac, Computation of Scaling Invariant Lax Pairs with Applications to Conservation Laws, Masters Thesis, Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, May 2012 (defended: March 2012).
  3. J. Larue, Symbolic Verification of Operator and Matrix Lax Pairs for Some Completely Integrable Nonlinear Partial Differential Equations, Masters Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, June 2011 (defended: March 2011).
  4. L.D. Poole, Symbolic Computation of Conservation Laws of Nonlinear Partial Differential Equations using Homotopy Operators, Ph.D. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, December 2009 (defended: April 2009).
  5. P. Adams, Symbolic Computation of Conserved Densities and Fluxes for Nonlinear Systems of Partial Differential Equations with Transcendental Nonlinearities, M.S. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May 2003.
  6. D. Baldwin, Symbolic Algorithms and Software for the Painlevé Test and Recursion Operators for Nonlinear Partial Differential Equations, M.S. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May 2004.
  7. H. Eklund Symbolic Computation of Conserved Densities and Fluxes for Nonlinear Systems of Differential-difference Equations, M.S. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May 2003.
  8. Ü. Göktas, Algorithmic Computation of Symmetries, Invariants and Recursion Operators for Systems of Nonlinear Evolution and Differential-difference Equations, Ph.D. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May 1998.
  9. Ü. Göktas, Symbolic Computation of Conserved Densities for Systems of Evolution Equations, M.S. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May 1996.
  10. W. Murphy, Determination of a Position Using Approximate Distances and Trilateration, M.S. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May 1992.
  11. A. Nuseir, Symbolic Computation of Exact Solutions of Nonlinear Partial Differential Equations using Direct Methods, Ph.D. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May 1995.
  12. W. Zhuang, Symbolic Computation of Exact Solutions of Nonlinear Evolution and Waves Equations, M.S. Thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, December 1991.

This material is based upon work supported by the National Science Foundation (NSF) under Grants Nos. CCF-0830783, CCR-9300978, CCR-9625421, CCR-9901929, DMS-9732069, DMS-9912293, and CCF-0830783; and by the Air Force Office of Scientific Research under Grant F49620-96-1-0039. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of NSF or AFOSR.

Scientific Software

Synopsis: 27 software packages (including some updates) mainly for Mathematica (commercial software), some for Macsyma (commercial software, now obsolete). The Macsyma program symmgpr.max for Lie-point symmetries of differential equations has been adapted to Maxima (i.e., DOE-Macsyma, a free computer algebra system in the public domain).

Most of the software has been developed with support of the National Science Foundation of the U.S.A.. Please acknowledge the software if it has been of use to you, either as a central or exploratory tool or for verification purposes. You can do this by refering to the web page where the software is located or to related publications.

NOTE (added December 2011, last updated July 4, 2020): The Mathematica software was developed for Mathematica versions 4 through 7 (depending on the package). Compatibility with newers versions of Mathematica, versions 8 through 12, is being tested and the packages are (slowly) being upgraded as specified below.

  1. Ü. Göktas and Hereman, PDESolitonSolutions-March24-2024.m : A Mathematica program for the symbolic computation of solitary wave and soliton solutions of polynomial nonlinear PDEs using a simplified Hirota method (2023-2024). [Works for Mathematica 12 and higher. Has not been tested for earlier versions of Mathematica.]
  2. A. Cook, W. Hereman, and Ü. Göktas Homogenize-And-Solve-Oct14-2012-v1-wh.m : A Mathematica program for the symbolic computation of solitary wave and soliton solutions of some scalar nonlinear evolution equations with polynomial terms (2012). [Works for Mathematica 5. May work for v. 6 and 7. Has not been tested for Mathematica v. 8 and higher.]
  3. T. J. Bridgman and W. Hereman, LaxPairPartialDifferenceEquations.m : A Mathematica package for the symbolic computation of Lax pairs of systems of nonlinear partial difference equations defined in quadrilaterals (2012-2018). [Works for Mathematica 7. Does not work for Mathematica 6 or lower. Has not been tested yet for Mathematica v. 8 and higher.]
  4. Ü. Göktas and W. Hereman, DDERecursionOperator.m : A Mathematica package for the symbolic computation of recursion operators for systems of nonlinear differential-difference equations (2010). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  5. W. Hereman, symmgrp2020.max: A Maxima program for the calculation of Lie point symmetries of large systems of differential equations (2020). The package symmgrp2020.max is an update of symmgrp2009.max and works under Maxima (a.k.a. DOE-Macsyma), a computer algebra system which can be freely downloaded from Maxima or SourceForge (search for Maxima). Our paper The computer calculation of Lie point symmetries of large systems of differential equations and the 2018 report Symmetry Analysis Using Symbolic Computation by E. J. Albright and J. D. McHardy serve as manuals. The notes Lie Symmetry Group Methods for Differential Equations provided by Faruk Güngör serve as theoretical background.
  6. W. Hereman and B. Huard, symmgrp2009.max: A Maxima program for the calculation of Lie point symmetries of large systems of differential equations (2009). The package symmgrp2009.max works under both the commercial computer algebra system Macsyma (now obsolete) and Maxima (the freely available DOE-Macsyma). Data and command files are available for either Macsyma (MacsymaFiles) or Maxima (MaximaFiles).
    The package symmgrp.max (written in 1991) was last updated in 2006. That code, still called symmgrp.max, only works under Macsyma, the commercial computer algebra system (now obsolete but some may still have a working copy).
  7. L.D. Poole and W. Hereman, ConservationLawsMD.m : A Mathematica package for the symbolic computation of conservation laws of systems of nonlinear partial differential equations in multiple space dimensions (2009). [Requires Mathematica 7. Does now work for Mathematica 5. Has not been tested for Mathematica v. 8 and higher.]
  8. W. Hereman, LaxPairLattices.m : A Mathematica program for the symbolic computation of Lax pairs of scalar two-dimensional nonlinear partial difference equations defined on quad-graphs (2007-2009). Joint work with Reinout Quispel and Peter van der Kamp. [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  9. L.D. Poole and W. Hereman, HomotopyIntegrator.m : A Mathematica package for the application of the homotopy method for (i) integration by parts of expressions involving unspecified functions of one variable and (ii) the inversion of a total divergence involving unspecified functions of two or three independent variables (2009). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  10. D. Baldwin and W. Hereman, PDERecursionOperator.m : A Mathematica package for the symbolic computation of recursion operators for systems of nonlinear partial differential equations (2003, updated: 2009). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  11. P.J. Adams and W. Hereman, TransPDEDensityFlux.m: A Mathematica program for the symbolic computation of conserved densities and fluxes for systems of partial differential equations with transcendental nonlinearities (2002). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  12. H. Eklund and W. Hereman, DDEDensityFlux.m: A Mathematica program for the symbolic computation of conserved densities and fluxes for nonlinear systems of differential-difference equations (2002). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  13. J. Blevins, J. Heath, and W. Hereman, PDESolutionTester.m: A Mathematica program for the symbolic verification of exact solutions of nonlinear partial differential equations (2002). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  14. W. Hereman and R. Kragler, PDESpecialSolutionsV4-Jul4-2020.m : A Mathematica package for the symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for systems of nonlinear partial differential equations (last updated: July 4, 2020). [Works for Mathematica v.11 and v.12. Has not been tested for Mathematica v.10 or lower.]
  15. D. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R. Martino, and J.C. Miller, PDESpecialSolutions.m: A Mathematica package for the symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for systems of nonlinear partial differential equations (2002, last updated: March 2010). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  16. D. Baldwin, Ü. Göktas, W. Hereman, DDESpecialSolutions.m: A Mathematica package for the symbolic computation of tanh solutions for systems of nonlinear differential-difference equations (2001, last updated: March 2010). 2001 version of program (with manual) was added to Computer Physics Communications Program Library, Queen’s University of Belfast, North Ireland (2001). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  17. D. Baldwin and W. Hereman, PainleveTestV4-2018.m: A Mathematica package for the Painleve test of systems of nonlinear ordinary and partial differential equations (2001-2018). Last updated by Willy Hereman: July 6, 2018. [Works for the newest versions of Mathematica . Code PainleveTestV4-2018.m is compatible with Mathematica v. 7, 8, 9, 10 and 11.]
  18. Ü. Göktas and W. Hereman, InvariantsSymmetries.m: A Mathematica integrability package for the computation of invariants and symmetries of nonlinear systems of partial differential equations and differential-difference equations (1997, updated: 2009). Package also available at Wolfram Research Library Archive. [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  19. Ü. Göktas and W. Hereman, diffdens2009.m: A Mathematica program for the symbolic computation of conserved densities for systems of nonlinear differential-difference equations (1997, updated: 2009). The original diffdens.m package was further developed into DDEDensityFlux.m (2002-2007). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  20. Ü. Göktas and W. Hereman, condens2009.m: A Mathematica program for the symbolic computation of conserved densities for systems of nonlinear evolution equations (1996). Software package has been improved and updated to run under Mathematica versions 3, 4, and 5 (updated: 2009). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  21. Ü. Göktas and W. Hereman, PAINSYS.MAX: A Macsyma program for the Painleve test of systems of nonlinear ordinary and partial differential equations (1995). [Note: Code was designed for Macsyma, the commercial computer algebra system. No guarantee that the code will work under Maxima, the public domain version of the computer algebra system.]
  22. W. Hereman and A. Miller, PAINMATH.M: A Mathematica program for the Painleve test of single nonlinear ordinary and partial differential equations (1995). Obsolete package; replaced by PainleveTest.m (Baldwin and Hereman). [Note: Code was designed for Macsyma, the commercial computer algebra system. No guarantee that the code will work under Maxima, the public domain version of the computer algebra system.]
  23. W. Hereman and W. Zhuang, HIROTA.MAX: A Macsyma program for the calculation of soliton solutions of certain nonlinear partial differential equations via Hirota’s method (1991-1995).
    [Note: Code was designed for Macsyma, the commercial version of the computer algebra system. No guarantee that the code will work under Maxima, the public domain computer algebra system.]
  24. W. Hereman and W. Zhuang, hirota.m: A Mathematica program for the calculation of soliton solutions of certain nonlinear partial differential equations via Hirota’s method (1991-1995). [Works for Mathematica 5. Has not been tested for Mathematica v. 6 and higher.]
  25. B. Champagne, W. Hereman, and P. Winternitz, symmgrp.max: A Macsyma program for the calculation of Lie point symmetries of large systems of differential equations (2006). [The package symmgrp.max, which is an updated version of the code written in 1991, works only under Macsyma, the commercial computer algebra system.] The 1991 version of symmgrp.max (with manual) is still available at the Computer Physics Communications Program Library, Queen’s University of Belfast, North Ireland (1991).
  26. W. Hereman and W. Murphy, Trilater.c: The trilateration program.
    Proprietary software program in C++ and manual were used in the “Bulldozer Project in 1991. The software is now obsolete!” Developed for Thunder Basin Coal Company, Wright, Wyoming (1991).
  27. W. Hereman, PAINSING.MAX: A Macsyma program for the Painleve test of single nonlinear ordinary and partial differential equations (1989). The program appeared in Finite Dimensional Integrable Nonlinear Dynamical Systems, Eds.: P.G.L. Leach and W.-H. Steeb, World Scientific, Singapore, 1988. The program was featured in the Macsyma Newsletter, vol. 6, January 1989, Macsyma, Inc., Arlington, Massachusetts (1989). [Note: Code was designed for Macsyma, the commercial computer algebra system. No guarantee that the code will work under Maxima, the public domain version of the computer algebra system.]

Presentations

Synopsis: 60 plenary or invited lectures at conference and workshops; 47 presentations at conferences and workshops; 81 invited colloquium talks and seminars at universities and laboratories, 54 colloquium talks and seminars at various local universities, and 34 participation in conferences and workshops.

Plenary or Invited Lectures at Conferences and Workshops

  1. Talk and software demonstration: W. Hereman, Symbolic computation of conservation laws of nonlinear partial differential equations, Workshop and Academic Salon “Beyond Symbolic Computation and Applied Mathematics,” Zhejiang Normal University, Zhejiang, China, December 16, 2022.
  2. Plenary talk: W. Hereman, A simplified Hirota method: Computation of solitary wave solutions and solitons through homogenization of degree, 6th International Workshop on Nonlinear and Modern Mathematical Physics (NMMP2022), Florida Agricultural and Mechanical University, Tallahassee, Florida, June 18, 2022.
  3. Talk: W. Hereman, Continuous and Discrete Homotopy Operators with Applications, Conference on `Symmetry and Computation’, Centre International des Rencontres Mathematiques (CIRM), Luminy, Marseille, France, April 3, 2018.
  4. Talk and software demonstration: Ü. Göktas and W. Hereman, Application of the simplified Hirota (homogenization) method to a (3+1)-dimensional evolution equation for deriving multiple soliton solutions, Special Session on Analytical and Computational Techniques for Differential and Difference Equations, Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, April 2, 2015 [Presented by Ü. Göktas].
  5. Talk: W. Hereman, Application of the Euler and homotopy operators to integrability testing, Special Session on Analytical and Computational Techniques for Differential and Difference Equations, Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, April 2, 2015.
  6. Talk and software demonstration: W. Hereman, Symbolic computation of conservation laws of nonlinear partial differential equations, Group 30: XXXth International Colloquium on Group Theoretical Methods in Physics (Group 30), Ghent University, Ghent, Belgium, July 18, 2014.
  7. Talk and software demonstration: W. Hereman, Symbolic computation of conservation laws of nonlinear partial differential equations, 2014 International Conference and 38th South African Symposium on Numerical and Applied Mathematics (SANUM 2014), University of the Witwatersrand, Johannesburg, South Africa, April 16, 2014.
  8. Talk: W. Hereman and T. Bridgman, Symbolic computation of Lax pairs of systems of partial difference equations using consistency around the cube, Minisymposium on Computational Aspects of Moving Frames, 2013 SIAM Conference on Applied Algebraic Geometry, Colorado State University, Fort Collins, Colorado, August 3, 2013.
  9. Talk: W. Hereman and T. Bridgman, Symbolic computation of Lax pairs of systems of partial difference equations using consistency around the cube, Special Session on Nonlinear Waves and Integrable Systems, AMS Spring Western Sectional Meeting, University of Colorado–Boulder, Boulder, Colorado, April 13, 2013.
  10. Talk: W. Hereman and T. Bridgman, Symbolic computation of Lax pairs of systems of nonlinear partial difference equations using consistency around the cube, Special Session on Symbolic and Numerical Aspects of Nonlinear Differential and Difference Equations, Eigth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, Georgia, March 26, 2013.
  11. Talk: Ü. Göktas, W. Hereman, and A. Cook, Symbolic computation of soliton solutions of PDEs through homogenization, Special Session on Symbolic and Numerical Aspects of Nonlinear Differential and Difference Equations, Eigth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, Georgia, March 25, 2013 [Presented by Ü. Göktas].
  12. Talk: J. Rezac and W. Hereman, A symbolic algorithm to compute Lax pairs in matrix form for nonlinear evolution equations, Special Session on Symbolic and Numerical Aspects of Nonlinear Differential and Difference Equations, Eigth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, Georgia, March 26, 2013 [Presented by J. Rezac].
  13. Talk: W. Hereman and T. Bridgman, Symbolic computation of Lax pairs of integrable nonlinear partial difference equations, Workshop on Nonlinear Evolution Equations and Dynamical Systems (NEEDS 2012), Orthodox Academy of Crete, Kolymbari, Crete, July 12, 2012.
  14. Talk: W. Hereman, M. Hickman, Ü. Göktas, and J. Larue, Symbolic computation of scaling invariant Lax pairs in operator form for integrable systems, 2012 Conference on Nonlinear Waves and Coherent Structures, University of Washington, Seattle, Washington, June 15, 2012.
  15. Talk and software demonstration: J. Rezac and W. Hereman, Construction of Lax pairs in matrix form and the Drinfel’d-Sokolov method for conservaton laws, 2012 Conference on Nonlinear Waves and Coherent Structures, University of Washington, Seattle, Washington, June 15, 2012 [Presented by J. Rezac].
  16. Talk and software demonstration: W. Hereman and D. Poole, Symbolic computation of conservation laws of nonlinear PDEs with applications, Seventh International Congress on Industrial and Applied Mathematics, ICIAM 2011, Vancouver, Canada, July 22, 2011.
  17. Semi-plenary talk and software demonstration: W. Hereman and T. Bridgman, Symbolic computation of Lax pairs of integrable nonlinear partial difference equations on quad-graphs, Workshop on Symbolic Analysis, Conference on Foundations of Computational Mathematics (FoCM’11), Budapest, Hungary, July 13, 2011.
  18. Talk and software demonstration: W. Hereman and T. Bridgman, Symbolic computation of Lax pairs of integrable nonlinear partial difference equations on quad-graphs, Seventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (WAVES 2011). University of Georgia, Athens, Georgia, April 6, 2011.
  19. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations in multiple space dimensions, First International Conference on Symmetry Plus Integrability (SPI 2010). In Honor of Prof. Yuji Kodama’s 60th Birthday, South Padre Island, Texas , June 14, 2010.
  20. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations in multiple space dimensions, Special Section on Geometric Flows, Moving Frames and Integrable Systems, 2010 Central Sectional Spring Meeting of the American Mathematical Society, Macalester College, St. Paul, Minnesota , April 10, 2010.
  21. Talk and software demonstration: Symbolic computation of Lax pairs of integrable nonlinear partial difference equations on quad-graphs, Workshop on Discrete Systems and Special Functions (part of the semester program on Discrete Integrable Systems), Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K., June 29, 2009. Lecture in several video formats available at: Streaming Media Service, University of Cambridge, U.K.
  22. Talk and software demonstration: Symbolic computation of Lax pair of two-dimensinal nonlinear partial difference equations, Special Session on Recent Advances in Symbolic Algebra and Analysis, 2009 Spring Southeastern Meeting of the American Mathematical Society, Department of Mathematics, North Carolina State University, Raleigh, North Carolina, April 5, 2009.
  23. Keynote address: Symmetry anyone?, 2008 International Conference and South African Symposium for Numerical and Applied Mathematics (SANUM 2008), Stellenbosch University, Stellenbosch, Matieland, South Africa, March 27, 2008.
  24. Plenary talk: Symbolic computation of conservation laws of nonlinear PDEs in (N+1)-dimensions, 2008 International Conference and South African Symposium for Numerical and Applied Mathematics (SANUM 2008), Stellenbosch University, Stellenbosch, Matieland, South Africa, March 26, 2008.
  25. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in (3+1)-dimensions, 2006 SIAM Conference on “Nonlinear Waves and Coherent Structures”, University of Washington, Seattle, Washington, September 10, 2006.
  26. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in (3+1)-dimensions, International Conference on “Nonlinear Waves, Integrable Systems and Applications”, Colorado Springs, Colorado, June 4-8, 2005.
  27. Talk and software demonstration: Continuous and discrete homotopy operators: A theoretical approach made concrete, Session: Symbolical and Numerical Computation for Differential Equations, Fourth IMACS International Conference on “Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory”, University of Georgia, Athens, Georgia, April 11-14, 2005.
  28. Talk: M. Hickman and W. Hereman, Computation of densities and fluxes of nonlinear differential-difference equations, Sixth Asian Symposium on Computer Mathematics, Beijing, China, October 23-35, 2003. [Presented by M. Hickman].
  29. Talk: Continuous and discrete homotopy operators with applications in integrability testing, Session: Nonlinear Waves V, AMS Regional Meeting, Boulder, Colorado, October 2-4, 2003.
  30. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for differential-difference equations, Workshop on Group Theory and Numerical Analysis, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada, May 26-31, 2003.
  31. Talk and software demonstration: Symbolic integrability tests for nonlinear partial differential and differential-difference equations, Fifth International Congress on Industrial and Applied Mathematics (ICIAM) 2003, Sydney, Australia, July 7-11, 2003.
  32. Talk: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Workshop on “Computer Algebra in Applications to Integrable Systems”, Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K., November 16-17, 2001.
  33. Talk: Conserved densities and generalized symmetries of nonlinear differential-difference equations, Nonlinear Evolution Equations and Dynamical Systems (NEEDS) 2001, Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K., July 24-31, 2001.
  34. Plenary talk: Solving nonlinear wave equations and lattices with Mathematica, International Conference and South African Symposium for Numerical and Applied Mathematics (SANUM 2001), Stellenbosch University, Stellenbosch, Matieland, South Africa, April 11, 2001.
  35. Lecture series: Lecture on wavelets: Theory and applications (10 lectures), Ph.D. Program DOCOP, Department of Physics, University of Antwerp, Antwerp, Belgium, December 4-22, 2000.
  36. Talk: Exact solutions of nonlinear partial differential equations with the tanh/sech method, Wolfram Research, Inc., Champaign, Illinois, November 3, 2000.
  37. Talk: A symbolic algorithm to compute conservation laws of nonlinear evolution equations, Session: Integrability of Evolution Equations, IMACS International Conference on “Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory”, University of Georgia, Athens, Georgia, April 12-15, 1999.
  38. Talk: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Workshop on Symbolic Computation in Geometry and Analysis, Mathematical Sciences Research Institute (MSRI), Berkeley, California, October 12-16, 1998.
  39. Talk: Symbolic computation of conservation laws (and generalized symmetries) for nonlinear PDEs and differential-difference equations, Session: Applications of Symbolic Computation to Differential Equations, Regional AMS Meeting, Atlanta, Georgia, October 17-19, 1997.
  40. Talk: Symbolic computation of conservation laws for nonlinear PDEs and differential-difference equations, 11th Workshop on “Nonlinear Evolution Equations and Dynamical Systems” (NEEDS ’97), OAK, Kolympari, Crete, June 18-28, 1997.
  41. Talk and software demonstration: Symbolic computation of conserved densities for systems of nonlinear evolution equations, Workshop on “Lie Symmetry Software with Applications to Nonlinear Problems”, International Sophus Lie Center (ISLC), Nordfjordeid, Norway, June 24, 1996.
  42. Talk and software demonstration: Symbolic software for Lie symmetry computations, Workshop on “Lie Symmetry Software with Applications to Nonlinear Problems”, International Sophus Lie Center (ISLC), Nordfjordeid, Norway, June 18, 1996.
  43. Talk: Wavelets: Concepts and applications, Mathematical Physics Days, Catholic University of Leuven, Leuven, Belgium, May 21, 1996.
  44. Lecture series: Lectures on wavelets (8 lectures), Ph.D. Program DOCOP, Department of Physics, University of Antwerp, Antwerp, Belgium, May 13-16, 1996.
  45. Talk: Symbolic software for soliton theory: Integrability, symmetries, conservation laws and exact solutions, Symposium in Applied Mathematics: Nonlinear Waves, Dynamics, Asymptotic Analysis and Physical Applications, in honor of 70th birthday of Martin D. Kruskal, University of Colorado, Boulder, Colorado, August 3-6, 1995.
  46. Talk: Symbolic software for nonlinear PDEs: Integrability, symmetries, and exact solutions, Nonlinear Dynamical Systems Workshop, Research Institute for Applications of Computer Algebra (RIACA), Amsterdam, The Netherlands, June 18-23, 1995.
  47. Talk and software demonstration: Symbolic computation of conserved densities, IMACS Conference on Applications of Computer Algebra, University of New Mexico, Albuquerque, New Mexico, May 16-20, 1995.
  48. Talk and software demonstration: Symbolic software for soliton theory, KdV ’95, International Symposium, Amsterdam, The Netherlands, April 23-16, 1995.
  49. Talk: Symbolic methods to find exact solutions of nonlinear PDEs, 14th IMACS World Congress on Computation and Applied Mathematics, Atlanta, Georgia, July 11-15, 1994.
  50. Talk: Lecture series: Wavelets: theory and applications (3 lectures), Division of Mathematical Physics and Astronomy, University of Ghent, Ghent, Belgium, November 25, December 2 and 9, 1993.
  51. Talk: Symbolic software for the study of nonlinear partial differential equations (incomplete file), 7th IMACS International Conference on Computer Methods for Partial Differential Equations, Rutgers University, New Brunswick, New Jersey, June 22-24, 1992.
  52. Talk: Review of symbolic software for calculating Lie symmetries of PDEs, 7th IMACS International Conference on Computer Methods for Partial Differential Equations, Rutgers University, New Brunswick, New Jersey, June 22-24, 1992.
  53. Talk: Symbolic computation of exact solutions of nonlinear wave equations, Symposium “The Rocky Mountain Nonlinear Experience”, University of Colorado, Boulder, Colorado, August 12-13, 1991.
  54. Talk: Exact solitary waves solutions to nonlinear evolution and wave equations using MACSYMA, IMACS 1st International Conference on Computational Physics, University of Colorado, Boulder, Colorado, June 11-15, 1990.
  55. Talk: Direct methods to construct solitary wave solutions, Workshop WASDA III: Wave and Soliton Days Antwerp, University of Antwerp, Antwerp, Belgium, June 2-3, 1988.
  56. Talk and software demonstration: Use of MACSYMA in applied mathematics, MIPAC Workshop, University of Wisconsin, Madison, Wisconsin, May 16-18, 1988.
  57. Talk and software demonstration: MACSYMA program for the Painlevé test of non-linear ordinary and partial differential equations, Workshop on Finite Dimensional Integrable Nonlinear Dynamical Systems, University of the Witwatersrand, Johannesburg, South Africa, January 11-15, 1988.
  58. Talk: The construction of implicit and explicit solitary wave solutions of non-linear partial differential equations, Conference on Applied Mathematics in the Honor of Prof. A. Ashour, University of Cairo, Cairo, Egypt, January 3-6, 1987.
  59. Talk: Exact solitary wave solutions of non linear evolution and wave equations using a direct algebraic method, Workshop WASDA II: Wave and Soliton Days Antwerp, University of Antwerp, Antwerp, Belgium, June 28, 1985.
  60. Talk: Theoretical aspects of acousto-optical diffraction: Acousto-optical diffraction of intense laser light in an isotropic medium (including third harmonic generation), Second Spring School on Acousto-Optics and Applications, Gdansk, Poland, May 24-29, 1983.

Presentations at Conferences and Workshops

  1. W. Hereman, Using symmetries to investigate the complete integrability of nonlinear PDES and differential-difference equations, Colorado Nonlinear Days, University of Colorado–Colorado Springs, Colorado Springs, Colorado, April 30, 2023.
  2. W. Hereman, A simplified Hirota method: Computation of solitary wave solutions and solitons through homogenization of degree, Colorado Nonlinear Days, University of Colorado–Colorado Springs, Colorado Springs, Colorado, April 24, 2022.
  3. Poster: F. Verheest and W. Hereman, Overtaking interaction of two weakly nonlinear acoustic solitons in plasmas at critical densities, 18th International Congress on Plasma Physics (ICPP 2018), Vancouver, Canada, June 4-8, 2018. [Presented by F. Verheest].
  4. W. Hereman, Gauge equivalence of Lax pairs of nonlinear partial difference equations, Third Colorado Nonlinear Days, University of Colorado–Colorado Springs, Colorado Springs, Colorado, November 12, 2017.
  5. Poster: F. Verheest, C. P. Olivier, and W. Hereman, Supercritical solitons in two-electron temperature plasmas, 43rd European Physical Society Conference on Plasma Physics (EPS 2016), Leuven, Belgium, July 4-8, 2016 [Presented by F. Verheest].
  6. Talk: W. Hereman, The power of the homotopy operator, Second Colorado Nonlinear Day, University of Colorado–Colorado Springs, Colorado Springs, Colorado, April 30, 2016.
  7. Talk: W. Hereman, Symbolic computation of scaling invariant Lax pairs in operator form for integrable systems, First Colorado Nonlinear Day, University of Colorado–Colorado Springs, Colorado Springs, Colorado, November 1, 2014.
  8. Poster: J. Rezac and W. Hereman, A symbolic algorithm for the computation of conservation laws from Lax pairs, Special Session on Symbolic and Numerical Aspects of Nonlinear Differential and Difference Equations, Eigth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, Georgia, March 27, 2013 [Presented by J. Rezac].
  9. Talk: F. Verheest, M. A. Hellberg, and W. Hereman, Head-on collisions of electrostatic solitons in nonthermal plasmas, 2012 International Topical Conference on Plasma Physics (ITCPS 2012), Faro, Portugal, September 24, 2012 [Presented by F. Verheest].
  10. Poster: F. Verheest, M. A. Hellberg, and W. Hereman, Head-on collisions of electrostatic solitons in multispecies plasmas, 39th European Physical Society Conference on Plasma Physics and 16th International Congress on Plasma Physics, Stockholm, Sweden, July 2-6, 2012 [Presented by F. Verheest and M. A. Hellberg].
  11. Talk and software demonstration: Ü. Göktas and W. Hereman, Symbolic computation of recursion operators of nonlinear differential-difference equations, Seventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (WAVES 2011). University of Georgia, Athens, Georgia, April 5, 2011.
  12. Talk and software demonstration: Ü. Göktas and W. Hereman, Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries and Recursion Operators for Nonlinear Differential-Difference Equations, Third Conference on Nonlinear Science and Complexity (NSC 2010), Ankara, Turkey, July 29, 2010. [Presented by Ü. Göktas].
  13. Talk and software demonstration: Ü. Göktas and W. Hereman, Symbolic Computation of Recursion Operators for Nonlinear Differential-Difference Equations, First International Symposium on Computing in Science and Engineering (ISCSE 2010), Kusadasi, Aydin, Turkey , June 4, 2010. [Presented by Ü. Göktas].
  14. Talk and software demonstration: D. Poole and W. Hereman, An algorithmic method to symbolically compute conservation laws of nonlinear PDEs in (N+1) dimensions, 2010 Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, San Francisco, California, January 16, 2010. [Presented by L. Poole].
  15. Talk and software demonstration: D. Poole and W. Hereman, Symbolic computation of conservation laws of nonlinear partial differential equations, 2010 Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, San Francisco, California, January 14, 2010. [Presented by D. Poole].
  16. Talk and software demonstration: Symbolic computation of Lax pairs of nonlinear partial difference equations, Mini-symposium on “Recent Advances in Continuous and Discrete Integrable Systems”, 2009 SIAM Annual Meeting, Denver, Colorado July 6, 2009.
  17. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Rocky Mountain Section Meeting of the Mathematical Association of America, Colorado School of Mines, Golden, Colorado, April 17, 2009.
  18. Talk: J. de la Porte, B. M. Herbst, W. Hereman and S. J. van der Walt, An introduction to diffusion maps, 19th Symposium of the Pattern Recognition Association of South Africa (PRASA 2008), Cape Town, South Africa, November 26-28, 2008. [Presented by B. Herbst].
  19. Talk and software demonstration: L. D. Poole and W. Hereman, The homotopy operator: from integration by parts to the computation of conservation laws of nonlinear PDEs in multiple dimensions (presentation in Mathematica notebook format for Mathematica version 6), International Users Conference 2008, Wolfram Research, Inc., Urbana-Champaign, Illinois, October 24, 2008. [Presented by L. Poole].
  20. Talk and software demonstration: Symbolic computation of Lax pairs of nonlinear partial difference equations, Eight International Conference on Symmetries and Integrability of Difference Equations (SIDE8), organized by the Centre de Recherches Mathématiques (Université de Montréal, Canada), Saint-Adèle, Québec, Canada, June 27, 2008.
  21. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in (N+1) Dimensions, Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society, Victoria University of Wellington, Wellington, New Zealand, December 13, 2007.
  22. Talk: W. Hereman and W. Malfliet, The tanh method: A tool to solve nonlinear partial differential equations with symbolic software, Proceedings 9th World Multiconference on Systemics, Cybernetics, and Informatics, Orlando, Florida, July 10-13, 2005. [Presented by W. Malfliet].
  23. Talk and software demonstration: Ü. Göktas and W. Hereman, Special solutions of nonlinear PDEs (presentation in Mathematica notebook format), Wolfram Technology Conference 2004, Wolfram Research, Inc., Urbana-Champaign, Illinois, October 23, 2004. [Presented by Ü. Göktas].
  24. Poster: Symbolic computation of conserved densities for nonlinear evolution and lattice equations, Los Alamos Days, University of Colorado, Boulder, Colorado, April 30-May 2, 1998.
  25. Talk: Ü Göktas and W. Hereman, Invariants and symmetries for partial differential equations and lattices, Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation (WP-98), Colorado School of Mines, Golden, Colorado, June 5, 1998. [Presented by Ü. Göktas].
  26. Talk: W. Hereman and Ü Göktas, Symbolic computation of conservation laws for nonlinear PDEs and differential-difference equations, Third International IMACS Conference on Applications of Computer Algebra (IMACS-ACA’97), Aston Wailea Resort, Maui, Hawaii, July 24-26, 1997. [Presented by Ü Göktas].
  27. Poster: W. Hereman and Ü Göktas, Symbolic computation of conservation laws for nonlinear PDEs and differential-difference equations, 17th Annual International Conference on “Nonlinear Waves and Solitons in Physical Systems”, Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico, May 12-16, 1997. [Presented by Ü Göktas].
  28. Poster: W. Hereman and Ü Göktas, Symbolic computation of conservation laws for nonlinear PDEs and differential-difference equations, Fourth East coast computer algebra day, Northeastern University, Boston, Massachusetts, May 3, 1997. [Presented by Ü Göktas].
  29. Poster: Symbolic software for Lie symmetry computations, Workshop on “Symmetry and Integrability of Difference Equations”, Center de Recherches Mathématiques, Université de Montréal; Estérel, Québec, Canada, May 22-29, 1994.
  30. Talk: Symbolic software for soliton theory, Los Alamos Days, University of Colorado, Boulder, Colorado, April 24-25, 1992.
  31. Talk: Symbolic software for nonlinear partial differential equations: symmetries, integrability, and exact solutions, 1992 AMS-SIAM Summer Seminar in Applied Mathematics, Colorado State University, Fort Collins, Colorado, July 26-August 1, 1992.
  32. Talk: A. Grundland and W. Hereman, Lie point symmetries of classical field theories, XIX International Colloquium on Group Theoretical Methods in Physics, Salamanca, Spain, June 29-July 4, 1992. [Presented by A. Grundland].
  33. Talk: Solitary wave solutions of nonlinear PDEs using a direct method and MACSYMA, ICIAM 91: Second International Conference on Industrial and Applied Mathematics, Washington, D.C., July 8-12, 1991.
  34. Talk: W. Hereman, A Macsyma program for the Hirota method, 13th IMACS World Congress, Trinity College, Dublin, Ireland, July 22-26, 1991. [Presented by L. Fishman].
  35. Talk: Applications of symbolic manipulation program to nonlinear PDEs in soliton theory, Front Range Scientific Computation Circus, Department of Mathematics, University of Colorado, Denver, Colorado, November 2, 1990.
  36. Talk: Solitary wave solutions of nonlinear PDEs using MACSYMA, SIAM Annual Meeting, Chicago, Illinois, July 15-20, 1990.
  37. Poster: MACSYMA programs for PDEs and ODEs: the Painlevé test and Lie symmetry program, Los Alamos Days, University of Colorado, Boulder, Colorado, April 12-14, 1990.
  38. Talk and software demonstration: MACSYMA: a guide for the perplexed, Annual Spring Meeting of the Mathematical Association of America, Rocky Mountain Section, Laramie, Wyoming, April 6-7, 1990.
  39. Talk and software demonstration: MACSYMA program for the Painlevé test of non linear ordinary and partial differential equations, Workshop on Symbolic Computation Methods in Differential Equations, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota, June 26-30, 1989.
  40. Talk and software demonstration: MACSYMA program for the calculation of the symmetry group of differential equations, Workshop on Symbolic Computation Methods in Differential Equations, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota, June 26-30, 1989.
  41. Poster: MACSYMA program for the Painlevé test of non-linear ordinary and partial differential equations, NATO School on Partially Integrable Nonlinear Evolution Equations and their Physical Applications, Centre de Physique des Houches, Ecole de Physique Théorique, Les Houches, France, March 21-30, 1989.
  42. Talk: Derivation of the Dym equation and its implicit solitary wave solution, Workshop on Solitons in Nonlinear Optics and Plasma Physics, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota, November 7-11, 1988.
  43. Talk: MACSYMA program for the Painlevé test of nonlinear ordinary and partial differential equations (with demonstration), SIAM Annual Meeting, Minneapolis, Minnesota, July 11-15, 1988.
  44. Talk: Painlevé analysis, integrability, and particular solutions to fifth-order dispersive evolution equations, SIAM Annual Meeting, Minneapolis, Minnesota, July 11-15, 1988.
  45. Poster: Non integrability of multiple wave interactions, SIAM Annual Meeting and 35th Anniversary, Denver, Colorado, October 12-15, 1987.
  46. Talk: Nonlinear mode decoupling for classes of evolution equations, Workshop III on (nonlinear) Stability in Magneto-hydro-dynamics, University of Antwerp, Antwerp, Belgium, August 26-September 24, 1981.
  47. Talk: Niet-resonante golfinterakties voor klassen van evolutie vergelijkingen, Non-resonant wave interactions for classes of evolution equations, Inter-university Postdoctoral Symposium on Field Theory and Statistical Mechanics, Ovifat, Belgium, October 24-25, 1980.

Invited Colloquium Talks and Seminars at Other Universities and Laboratories

  1. Seminar and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, Computer Science and Engineering, Liverpool Hope University, Liverpool, U.K. , February 17, 2020.
  2. Colloquium talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, Khalifa University of Science and Technology, Abu Dhabi, United Arab Emirates , November 7, 2019.
  3. Colloquium talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, Jordan University of Science and Technology (JUST), Irbid, Jordan , October 22, 2019.
  4. Seminar and software demonstration: Symbolic computation of Lax pairs of nonlinear systems of partial difference equations using multidimensional consistency, Instituto de Matematica y Ciencias Afines (IMCA), National University of Engineering (UNI), Lima, Peru , November 28, 2017.
  5. Seminar and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, School of Mathematics, University of Manchester, Manchester, U.K. , July 18, 2017.
  6. Seminar and software demonstration: Symbolic computation of Lax pairs of systems of nonlinear partial difference equations and their gauge equivalence, School of Mathematics, Statistics, and Actuarial Science, University of Kent, Canterbury, U.K. , March 27, 2017.
  7. Colloquium talk and software demonstration: Symbolic computation of Lax pairs of systems of partial difference equations using consistency around the cube, Department of Mathematical Sciences (Applied Mathematics), Stellenbosch University, Stellenbosch, Matieland, South-Africa , April 24, 2014.
  8. Talk: Symbolic computation of scaling invariant Lax pairs in operator form for integrable systems, Mini-symposium SANUM, African Institute for Mathematical Sciences (AIMS), Muizenberg (Cape Town), South-Africa, April 22, 2014. Prelude to the presentation.
  9. Talk and software demonstration: Symbolic computation of Lax pairs of systems of nonlinear partial difference equations using consistency around the cube, Department of Mathematics and Statistics, University of South Florida, Tampa, Florida, March 21, 2014.
  10. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics and Statistics, University of South Florida, Tampa, Florida, March 21, 2014.
  11. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Departments of Mathematics & Electro-Optics, University of Dayton, Dayton, Ohio, October 14, 2013.
  12. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, Ohio University, Athens, Ohio, October 11, 2013.
  13. Software demonstration: Symbolic computation of convervation laws of nonlinear PDEs, Department of Computer Sciences, Catholic University of Leuven, Leuven, Belgium, May 16, 2013.
  14. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, Dogus University, Istanbul, Turkey, July 5, 2011.
  15. Talk and software demonstration: Symbolic computation of Lax pairs of nonlinear partial difference equations on quad-graphs. Part II — Systems of lattices, Department of Mathematics, Istanbul Technical University, Istanbul, Turkey, July 4, 2011.
  16. Talk and software demonstration: Symbolic computation of Lax pairs of nonlinear partial difference equations on quad-graphs. (Part I — Scalar nonlinear lattices), Department of Statistics and Computer Sciences, Kadir Has University, Istanbul, Turkey, July 1, 2011.
  17. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mechanical Engineering, Celal Bayar University, Muradiye, Manisa, Turkey, June 28, 2011.
  18. Talk and software demonstration: Continuous and discrete homotopy operators: A theoretical approach made concrete and applicable, Department of Mathematics, Bilkent University, Bilkent, Ankara, Turkey, June 23, 2011.
  19. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Physics, Middle Eastern Technical University, Ankara, Turkey, June 22, 2011.
  20. Talk and software demonstration: Trilateration: The mathematics behind a local positioning system , Department of Computer Engineering, Turgut Ozal University, Kecioren, Ankara, Turkey, June 21, 2011.
  21. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, University of Ghent, Ghent, Belgium, March 15, 2011.
  22. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics and Computer Sciences, University of Antwerp, Antwerp, Belgium, March 14, 2011.
  23. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Mathematics Department, University of Wisconsin, Madison, Wisconsin, October 19, 2009.
  24. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, University of Surrey, Guildford, U.K., June 24, 2009.
  25. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Instituto de Matemática y Ciencas Afines (IMCA) and Faculdad de Ciencas, Universidad Nacional de Ingeniería (UNI), Lima, Peru, March 14, 2009.
  26. Talk and software demonstration: Symbolic computation of Lax pairs of two-dimensional nonlinear partial difference equations, Department of Mathematics, Catholic University of Leuven, Leuven, Belgium, July 29, 2008.
  27. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in (N+1)-dimensions, Department of Mathematical and Statistical Sciences, University of Kwa-Zulu Natal, Durban, South Africa, April 7, 2008.
  28. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs, Department of Mathematics and Statistics, La Trobe University, Melbourne, Australia, November 29, 2007.
  29. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in (n+1)-dimensions, Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand, October 25, 2007.
  30. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in multi-dimensions, Department of Mathematics and Statistics, University of Otago, Dunedin, New Zealand, September 20, 2007.
  31. Talk and software demonstration: Symbolic computation of travelling wave solutions of nonlinear partial differential and differential-difference equations , Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada, May 29, 2007.
  32. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in multi-dimensions, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada, May 23, 2006.
  33. Talk and software demonstration: Continuous and discrete homotopy operators: A theoretical approach made concrete and applicable, Department of Computational and Applied Mathematics, Rice University, Houston, Texas, September 19, 2005.
  34. Talk and software demonstration: Continuous and discrete homotopy operators: A theoretical approach made concrete, Department of Pure Mathematics and Computer Algebra, University of Ghent, Ghent, Belgium , June 28, 2005.
  35. Talk and software demonstration: Symbolic computation of travelling wave solutions of nonlinear partial differential and differential-difference equations, Royal Military Academy, Brussels, Belgium, December 23, 2004.
  36. Talk and software demonstration: Continuous and discrete homotopy operators with applications in integrability testing of nonlinear PDEs and lattices, Department of Mathematics, La Trobe University, Melbourne, Australia, August 6, 2004.
  37. Talks and software demonstrations: Continuous and discrete homotopy operators with applications in integrability testing of nonlinear PDEs and lattices: Part II, Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand, August 3, 2004.
  38. Talks and software demonstrations: Continuous and discrete homotopy operators with applications in integrability testing of nonlinear PDEs and lattices: Part I, Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand, July 27, 2004.
  39. Talk and software demonstration: Continuous and discrete homotopy operators with applications in integrability testing of nonlinear PDEs and lattices, Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand, July 9, 2004.
  40. Talk and software demonstration: Symbolic computation of travelling wave solutions of nonlinear differential-difference equations, Physics Department, University of Antwerp, Antwerp, Belgium, December 23, 2003.
  41. Talk and software demonstration: Continuous and discrete homotopy operators with applications in integrability testing of nonlinear PDEs and lattices, Department of Computer Sciences, Catholic University of Leuven, Leuven, Belgium, December 19, 2003.
  42. Talk and software demonstration: Continuous and discrete homotopy operators with applications in integrability testing, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada, December 4, 2003.
  43. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations, Physics Department, University of Antwerp, Antwerp, Belgium, July 1, 2003.
  44. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations, Department of Theoretical Physics (TENA), Free University of Brussels, Brussels, Belgium, June 19, 2003.
  45. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Mathematical Physics and Astronomy, University of Ghent, Ghent, Belgium, December 23, 2002.
  46. Talk and software demonstration: Symbolic computation of travelling wave solutions of nonlinear PDEs and lattices with Mathematica, Physics Department, University of Antwerp, Antwerp, Belgium, December 19, 2002.
  47. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, South Africa, June 8, 2001.
  48. Talk and software demonstration: Symbolic computation of conserved densities and generalized symmetries of nonlinear evolution and lattice equations, Joint Colloquium Department of Mathematics and Department of Applied Mathematics, Stellenbosch University, Stellenbosch, Matieland, South-Africa, May 29, 2001.
  49. Talk and software demonstration: Solving nonlinear wave equations and lattices with Mathematica, Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa, May 23, 2001.
  50. Talk and software demonstration: Solving nonlinear wave equations and lattices with Mathematica, School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa, May 22, 2001.
  51. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Center for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa, May 21, 2001.
  52. Talk and software demonstration: Solving nonlinear wave equations and lattices with Mathematica , Department of Mathematical and Statistical Sciences, University of Natal, Durban, South Africa, April 20, 2001.
  53. Talk: Solving nonlinear wave equations and lattices with Mathematica, Department of Applied Mathematics, University of Stellenbosch, Stellenbosch, South Africa, February 21, 2001.
  54. Talk and software demonstration: Solving nonlinear wave equations with Mathematica, Department of Physics, University of Antwerp, Antwerp, Belgium, December 19, 2000.
  55. Talk: Symbolic computation of conserved densities and generalized symmetries for nonlinear evolution and lattice equations, Department of Mathematics, University of New Mexico, Albuquerque, New Mexico, October 17, 2000.
  56. Talk: J. DeSanto, W. Hereman, and M. Misra, Application of wavelet transforms in rough surface scattering, Sandia Laboratories, Albuquerque, New Mexico, December 10, 1998.
  57. Talk: Symbolic computation of conserved densities of nonlinear evolution equations and differential-difference equations, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada, May 23, 1997.
  58. Talk: Spline-based wavelets with applications, Department of Physics, University of Antwerp, Antwerp, Belgium, May 23, 1996.
  59. Talk: Wavelets: Theory and selected applications, Colloquium Talk, Departments of Physics and Electrical Engineering, University of Alabama, Huntsville, Alabama, March 12, 1996.
  60. Talk: Modified bilinear and Hirota formalism for nonlinear equations, Division of Mathematical Physics and Astronomy, University of Ghent, Ghent, Belgium, April 28, 1995.
  61. Talk: Symbolic software for nonlinear partial differential equations, Department of Physics, University of Antwerp, Antwerp, Belgium, April 27, 1995.
  62. Talk: Wavelets: An introduction, Department of Physics, University of Antwerp, Antwerp, Belgium, January 11, 1994.
  63. Talk: Symbolic programs for the study of nonlinear evolution equations, Department of Theoretical Physics, Free University of Brussels, Brussels, Belgium, December 21, 1993.
  64. Talk: Symbolic computations for nonlinear partial differential equations from soliton theory, Departement de Physique, Université du Québec a Trois-Rivieres, Québec, Canada, January 9, 1992.
  65. Talk: MACSYMA, exact solutions of nonlinear evolution equations, and solitons, Institute for Theoretical Mechanics, University of Ghent, Ghent, Belgium, December 17, 1991.
  66. Talk: The trilateration program, Thunder Basin Coal Company, Wright, Wyoming, June 20, 1991.
  67. Talk: Construction of explicit and implicit solitary wave solutions to classes of nonlinear evolution and wave equations, Department of Mathematics, University of Wisconsin at Milwaukee, Milwaukee, Wisconsin, April 14, 1989.
  68. Talk: Construction of explicit and implicit solitary wave solutions to classes of nonlinear evolution and wave equations, Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, March 3, 1989.
  69. Talk: Review of methods to construct soliton solutions for nonlinear evolution and wave equations, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada, January 23, 1989.
  70. Talk: Methods to construct soliton solutions for nonlinear evolution and wave equations, Institute for Modeling, Non-linear Dynamics and Irreversible Thermodynamics, Technical University of Denmark, Lyngby, Denmark, January 13, 1989.
  71. Talk: Derivation of the Dym equation, its implicit solution and its connection with the KdV and MKdV equations, Department of Mathematics, University of Groningen, Groningen, The Netherlands, January 10, 1989.
  72. Talk: Derivation of the Dym equation, its implicit solution and its connection with the KdV and MKdV equation, Institute for Theoretical Mechanics, University of Ghent, Ghent, Belgium, January 4, 1989.
  73. Talk: Hirota’s method versus Painlevé analysis for nonlinear evolution equations, Institute for Theoretical Mechanics, University of Ghent, Ghent, Belgium, May 27, 1988.
  74. Talk: The construction of implicit and explicit soliton solutions of nonlinear evolution and wave equations, Department of Electrical Engineering, State University of New York at Binghamton, New York, June 2, 1987.
  75. Talk: A direct algebraic method for the construction of solitary wave solutions for a class of nonlinear evolution and wave equations, Department of Mathematics, University of Assiut, Assiut, Egypt, January 10, 1987.
  76. Talk: Recent developments in the theory of acousto-optics, Department of Physics, Dalhousie University and Department of Engineering Physics, Technical University of Nova Scotia, Halifax, Nova Scotia, Canada, April 10, 1986.
  77. Talk: Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method, Department of Mathematics and Mathematical Research Center, The University of Wisconsin, Madison, Wisconsin, January 29, 1986.
  78. Talk: Recent developments in the theory of acousto-optics, Department of Electrical and Computer Engineering, Syracuse University, Syracuse, New York, April 26, 1985.
  79. Talk: Recent developments in the theory of acousto-optics, Department of Electrical and Computer Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, April 23, 1985.
  80. Talk: A general direct method of constructing solitary waves from linear solutions, Department of Applied Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada, May 28, 1984.
  81. Talk: Diffraction of light by ultrasound, Department of Applied Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada, May 1, 1981.

Colloquium Talks and Seminars at Local Universities

  1. Colloquium talk: W. Hereman, Symmetry — A ubiquitous concept in nature and science, Osher Life Long Learning Institute (OLLI), University of Denver, Jefferson Unitarian Church Golden, Colorado, April 19, 2023.
  2. Colloquium talk: W. Hereman, Symbolic computation of solitary wave solutions and solitons through homogenization of degree, Department of Mathematics, University of Colorado–Colorado Springs, Colorado Springs, Colorado, February 23, 2023.
  3. Colloquium talk: W. Hereman, Symbolic computation of solitary wave solutions and solitons through homogenization of degree, Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, September 23, 2022.
  4. Talk: The Hirota method revisited: Computation of solitary wave solutions and solitons through homogenization of degree, Nonlinear Waves Seminar, Department of Applied Mathematics, University of Colorado–Boulder, Boulder, Colorado, February 22, 2022.
  5. Talk: Tools from the calculus of variations and differential geometry to investigate conservation laws of nonlinear PDEs and DDEs, Nonlinear Waves Seminar, Department of Applied Mathematics, University of Colorado–Boulder, Boulder, Colorado, January 28, 2020.
  6. Heiland Lecture: Symmetry Anyone? [NOTE: The pdf file is large and might take some time to display online. Download and then open with Acrobat Reader.] Department of Geophysics, Colorado School of Mines, Golden, Colorado, February 23, 2017.
  7. Talk: Symbolic computation of scaling invariant Lax pairs in operator form for completely integrable systems, Nonlinear Waves Seminar, Department of Applied Mathematics, University of Colorado–Boulder, Boulder, Colorado, February 23, 2016.
  8. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Nonlinear Waves Seminar, Department of Applied Mathematics, University of Colorado–Boulder, Boulder, Colorado, October 7, 2014.
  9. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, University of Colorado, Colorado Springs, Colorado, October 20, 2011.
  10. Talk and software demonstration: W. Hereman and W. Navidi, Trilateration–Part I, Trilateration–Part II, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, April 15, 2011.
  11. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, September 25, 2009.
  12. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematics, Colorado State University, Fort Collins, Colorado, September 17, 2009.
  13. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear partial differential equations, Department of Mathematical Sciences, University of Northern Colorado, Greeley, Colorado, April 14, 2009.
  14. Talk and software demonstration: Symbolic computation of Lax pairs of two-dimensional nonlinear partial difference equations, Physics Department, Colorado School of Mines, Golden, Colorado, February 24, 2009.
  15. Talk and software demonstration: Symbolic computation of Lax pairs of two-dimensional nonlinear partial difference equations, Nonlinear Waves Seminar, Department of Applied Mathematics, The University of Colorado–Boulder, Boulder, Colorado, November 18, 2008.
  16. Talk and software demonstration: Symbolic computation of Lax pairs of two-dimensional nonlinear partial difference equations, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, October 3, 2008.
  17. Talk and software demonstration: Symbolic computation of conservation laws of nonlinear PDEs in multi-dimensions, Computational Mathematics Group, National Center for Atmospheric Research (NCAR), Boulder, Colorado, April 5, 2007.
  18. Talk and software demonstration: Continuous and discrete homotopy operators: A theoretical approach made concrete and applicable, Department of Mathematics, Colorado State University, Fort Collins, Colorado, September 29, 2005.
  19. Talk and software demonstration: Continuous and discrete homotopy operators with applications in integrability testing, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, October 31, 2003.
  20. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Mathematics, Colorado State University, Fort Collins, Colorado, April 17, 2003.
  21. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Mathematics, University of Colorado, Colorado Springs, Colorado, September 26, 2002.
  22. Talk and software demonstration: Teaching your computer to do mathematics, Davidson Young Scholars Reunion Gathering, Davidson Institute and Colorado School of Mines, Golden, Colorado, June 21, 2002.
  23. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Applied Mathematics, University of Colorado, Boulder, Colorado, February 28, 2002.
  24. Talk and software demonstration: Solving nonlinear PDEs and lattices with Mathematica, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, February 8, 2002.
  25. Talk: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Applied Mathematics, University of Colorado, Boulder, Colorado, October 21, 1999.
  26. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, September 24, 1999.
  27. Talk and software demonstration: Symbolic computation of conserved densities, generalized symmetries, and recursion operators for nonlinear evolution and lattice equations, Department of Mathematics, University of Colorado, Colorado Springs, Colorado, September 23, 1999.
  28. Talk and software demonstration: Symbolic computation of conserved densities and symmetries of nonlinear evolution and differential-difference equations, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, November 25, 1997.
  29. Talk: Solving PDEs through homogenization, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, February 27, 1996.
  30. Talk: Wavelets: Theory and applications — An introduction, Colloquium Talk, Division of Engineering, Colorado School of Mines, Golden, Colorado, March 21, 1995.
  31. Talk: Wavelets: Theory and applications — An introduction, Computational Modeling Seminar, Division of Engineering, Colorado School of Mines, Golden, Colorado, February 27, 1995.
  32. Lecture series: Lectures on wavelets (5 lectures), Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, October 25, November 1, 8, 15, and 22, 1994.
  33. Talk: Symbolic computation for investigating nonlinear partial differential equations, Colloquium Series, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, September 16, 1994.
  34. Talk: Wavelets: An introduction, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, February 14, 1994.
  35. Talk and software demonstration: Symbolic computing in research, National Institute of Standards and Technology (NIST), Boulder, Colorado, March 10, 1992.
  36. Talk and software demonstration: Symbolic computing in research, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, February 24, 1992.
  37. Talk: The bulldozer project, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado. Briefing for Thunder Basin Coal Company, February 1, 1991 and Graduate Seminar, February 4, 1991.
  38. Talk: Solitary wave solutions of PDEs using a direct method and MACSYMA, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, October 1, 1990.
  39. Talk: Solitary wave solutions of PDEs using a direct method and MACSYMA, Department of Physics, Colorado School of Mines, Golden, Colorado, September 18, 1990.
  40. Talk and software demonstration: MACSYMA: a guide for the perplexed, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, March 5, 1990.
  41. Talk: Solitary wave solutions of PDEs using MACSYMA, Department of Mathematics, University of Colorado, Boulder, Colorado, October 19, 1989.
  42. Talk: Exact solitary wave solutions of non-linear evolution and wave equations using a direct algebraic method and MACSYMA, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, October 2, 1989.
  43. Talk: Construction of explicit and implicit solitary wave solutions of classes of nonlinear evolution and wave equations, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, July 7, 1989.
  44. Talk: Connections between the Dym, KdV, and the MKdV equations, Department of Mathematics and Mathematical Research Center, The University of Wisconsin, Madison, Wisconsin, October 12, 1988.
  45. Talk and software demonstration: MACSYMA: Reboot, Department of Mathematics, University of Wisconsin, Madison, Wisconsin, November 11, 1987.
  46. Talk and software demonstration: MACSYMA: A guide for the perplexed, Department of Mathematics, University of Wisconsin, Madison, Wisconsin, November 4, 1987.
  47. Talk: Intimate connections between the KdV, the MKdV, and the Harry Dym equations, Department of Mathematics and Mathematical Research Center, The University of Wisconsin, Madison, Wisconsin, October 21, 1987.
  48. Talk and software demonstration: MACSYMA, Department of Mathematics and Mathematical Research Center, University of Wisconsin, Madison, Wisconsin, October 20, 1987.
  49. Talk: Developments in acousto-optics, Department of Mathematics and Mathematical Research Center, University of Wisconsin, Madison, Wisconsin, September 30, 1986.
  50. Talk: Mathematical aspects of physics/engineering developments in nonlinear waves and acousto-optics, Department of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa, March 21, 1986.
  51. Talk: Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method, Department of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa, February 13, 1986.
  52. Talk: Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method, Department of Mathematics, University of Iowa, Iowa City, Iowa, November 21, 1985.
  53. Talk: Outline of a general direct method of constructing solitary waves from linear solutions, Department of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa, April 19, 1984.
  54. Talk: Some recent developments in the theory of acousto-optics, Department of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa, March 8, 1984.

Participation in Conferences and Workshops

  1. 2022 International Forum on Research Excellence (IFoRE 2022), Sigma Xi — The Scientific Research Honor Society, Alexandria (VA), virtual November 3-6, 2022.
  2. Conference Report: W. Hereman, Roots to Fruits: Responsible Research for a Flourishing Humanity — How Science Virtues Serve Society, 2021 Annual Research Conference, and Art Exhibit (AMSRC 2021), Sigma Xi — The Scientific Research Honor Society, virtual, November 4-7, 2021.
  3. Conference Report: W. Hereman, Hacking the Brain: The Intersection between Brain and Neuroscience, 2020 Annual Research Conference, and Art Exhibit (AMSRC 2020) Sigma Xi — The Scientific Research Honor Society, virtual, November 5-8, 2020.
  4. Workshop on “Nonlinear Algebra in Applications,” ICERM, Brown University, Providence, RI, November 12-16, 2018.
  5. American Mathematical Society Committee on Science Policy Forum, Washington, DC, March 4-5, 2011.
  6. 8th Annual Pikes Peak Region Undergraduate Mathematics (PPRUM) Conference, United States Air Force Academy, Colorado Springs, Colorado, February 26, 2011.
  7. Opening Session of International Symposium II on Unconventional Plasmas, Eindhoven University of Technology, Eindhoven, The Netherlands, August 14-16, 2006.
  8. Second Front Range Applied Mathematics Student Conference, University of Colorado, Denver, Colorado, March 11, 2006.
  9. First Annual Front Range Undergraduate Mathematical Sciences Conference, Colorado School of Mines, Golden, Colorado, October 30, 2004.
  10. NSF-CBMS Regional Conference on Numerical Methods in Forward and Inverse Electromagnetic Scattering, Colorado School of Mines, Golden, Colorado, June 3-7, 2002.
  11. Board of Trustees Conference Colorado School of Mines, Allenspark, Colorado, June 11-13, 1998.
  12. Conference on Education: Teaching with Technology, Colorado School of Mines, Golden, Colorado, July 29-31, 1996.
  13. Joint AMS-BeNeLux International Meeting, University of Antwerp, Antwerp, Belgium, May 22-25, 1996.
  14. Kick-off Meeting, Multidisciplinary University Research Initiative (MURI), Air Force Office of Scientific Research Computational Electromagnetics Initiative, University of Delaware, Newark, Delaware, November 4, 1995.
  15. Mini-conference “Rocky Mountain Experience IV”, University of Colorado, Boulder, Colorado, August 3-4, 1994.
  16. Mini-conference “Rocky Mountain Experience III”, University of Colorado, Boulder, Colorado, August 17-18, 1993.
  17. Midwest Dynamical Systems Conference, University of Colorado, Boulder, Colorado, March 26-28, 1993.
  18. Los Alamos Days, University of Colorado, Boulder, Colorado, March 25, 1993.
  19. Contact Group “Theoretical and Analytical Mechanics”, University of Ghent, Ghent, Belgium, December 19, 1991.
  20. Addison-Wesley Workshop on “Technology in the Mathematics Curriculum”, Denver, Colorado, November 22, 1991.
  21. Workshop on Computer Algebra Software and the Teaching of Calculus, Department of Mathematics and Computer Science, University of Denver, Denver, Colorado, October 5-7, 1990.
  22. Workshop on Solitons in Physics and Mathematics, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota, September 12-16, 1988.
  23. Inter-university Postdoctoral Symposium on Field Theory and Statistical Mechanics, Han-sur-Lesse, Belgium, October 12-13, 1984.
  24. International School of Physical Acoustics: Fundamental Principles and Applications of Acoustic Waves, Erice, Trapani, Italy, November 30-December 10, 1982.
  25. Inter-university Postdoctoral Symposium on Field Theory and Statistical Mechanics, Houthalen, Belgium, October 1-2, 1982.
  26. Solitons `82: Scott Russell Centenary Conference and Workshop, Heriot-Watt University, Edinburgh, U.K., August 22-27, 1982.
  27. International Post University Courses, University of Ghent, Ghent, Belgium, August 15-21, 1982.
  28. Dynamics Days Twente `82, Twente University of Technology, Enschede, The Netherlands, May 25-26, 1982.
  29. Conference of the Belgian Mathematical Society, University of Antwerp, Antwerp, Belgium, May 13-14, 1982.
  30. Inter-university Postdoctoral Symposium on Geodesy and Geophysics, Han-sur-Lesse, Belgium, February 17-19, 1982.
  31. Inter-university Postdoctoral Symposium on Field Theory and Statistical Mechanics, Tiege-lez-Spa, Belgium, October 2-3, 1981.
  32. Workshop II on (nonlinear) Stability in Magneto-hydro-dynamics, University of Antwerp, Antwerp, Belgium, September 1-30, 1980.
  33. Dynamics Days Twente `80, Twente University of Technology, Enschede, The Netherlands, April 15-16, 1980.
  34. Inter-university Postdoctoral Symposium on Field Theory and Statistical Mechanics, Kasterlee, Belgium, October 5-6, 1979.

Teaching Experience

Courses taught at Colorado School of Mines:

– MACS 681:  Nonlinear Mathematics (Nonlinear Waves) 
– MACS 582:  Mathematica 
– MACS 582:  Introduction to Wavelets 
– MACS 581:  Modeling with Mathematica 
– MACS 556:  Modeling with Symbolic Software 
– MACS 526:  Operations Research Projects 
– MATH 515:  Applied Mathematics II 
– MATH 514:  Applied Mathematics I 
– MATH 510:  Ordinary Differential Equations and Dynamical Systems 
– MATH 503:  Functional Analysis 
– MATH 500:  Linear Vector Spaces 
– MACS 461:  Senior Seminar I 
– MACS 423:  Special Topics: Linear and Vector Algebra 
– MACS 423:  Symbolic Computation (Independent Study) 
– MACS 422:  Introduction to Wavelets 
– MACS 358:  Algebraic Structures and Discrete Mathematics 
– MATH 348:  Advanced Engineering Mathematics 
– MATH 342:  Honors Linear Algebra 
– MACS 333:  Introduction to Mathematical Modeling 
– MATH 332:  Linear Algebra 
– MACS 315:  Differential Equations 
– MATH 235:  Honors Differential Equations 
– MATH 225:  Differential Equations (large lecture format) 
– MATH 224:  Calculus III Honors 
– MACS 223:  Calculus III Honors 
– MATH 122:  Calculus II Honors 

Course Coordinator:

      • Advanced Engineering Mathematics
      • Differential Equations
      • Linear Algebra

Special & Short Courses taught:

– Nonlinear Dynamical Systems with Applications to Mathematical Biology; African Inst. Math. Sciences. (AIMS), Cape Town, South Africa February-March 2008
– Dynamical Systems and Chaos; Dept. Maths. & Stats., Univ. of Canterbury, New Zealand July-October 2007
– Dynamical Systems and Chaos; Dept. Maths. & Stats., Univ. of Canterbury, New Zealand July-August 2004,
– Introduction to Mathematica; Dept. Appl. Math., Univ. of Stellenbosch, South Africa April 2001
– Wavelets: Theory & Applications; Dept. Appl. Math., Univ. of Stellenbosch, South Africa March 2001
– Wavelets: Theory & Applications; Dept. Phys., Univ. of Antwerp, Belgium December 2000
– Wavelets: Theory & Applications; Dept. Phys., Univ. of Antwerp, Belgium May 1996
– Differential Equations-Refresher Course; Department of Energy, Rocky Flats, Golden April 1995
– Wavelets: Theory & Applications; Dept. Math. & Computer Sciences October 1994
– MACSYMA; Physics Department October 1990

Course Development (see also Teaching Portfolio):

      • Introduction to Dynamical Systems and Chaos
      • Introduction to Mathematical Modeling (with computer projects)
      • Differential Equations (with computer projects)
      • Nonlinear Waves
      • Modeling with Mathematica
      • Modeling with Symbolic Software
      • Functional Analysis
      • Introduction to Wavelets: Theory and Applications

Courses taught at the University of Wisconsin-Madison:

– MATH 801:  Nonlinear Waves 
– MATH 727:  Calculus of Variations and Optimal Control 
– MATH 340:  Linear Algebra 
– MATH 320:  Linear Algebra 
– MATH 319:  Ordinary Differential Equations 
– MATH 112:  College Algebra 

 

    • Teaching Assistant for courses in Theoretical Mechanics in the Faculty of Sciences, Departments of Mathematics, Computer Sciences and Physics, and the School of Engineering at the University of Ghent, Ghent, Belgium, from October 1976 until September 1983.
    • Full-time Research Assistant at the Institute for Theoretical Mechanics, Faculty of Sciences, University of Ghent, Ghent, Belgium, from October, 1976 until September 1986.

Honors and Awards

1  Awards

  • Recipient of the Albert Nelson Marquis Lifetime Achievement Award, 2017.
  • 2016 Outstanding Philanthropic Partner Award, Colorado School of Mines Foundation.
  • NATO Research Fellowships (supporting postdoctoral visits to the U.S.A.), September 1985-July 1986, and September 1983-July 1984.
  • Prize of the Royal Academy of Sciences, Literature and Fine Arts of Belgium, Brussels, Belgium, 1985.
  • Special Prize for Mathematics, City Council of Lokeren, Lokeren, Belgium, 1972.
  • Special Prize for History, City Council of Lokeren, Lokeren, Belgium, 1972.

2  Honors

  • Benefactor of the Professor Willy Hereman Endowed Scholarship Fund, 2018-present.
  • President of the Colorado School of Mines Chapter of Sigma Xi — The Scientific Research Honor Society, 2021-present.
  • Listed in Marquis Who’s Who in Education in Colorado, 2020.
  • Listed in Marquis Who’s Who in America, 2020.
  • Vice-President and President-Elect of the Colorado School of Mines Chapter of Sigma Xi –The Scientific Research Honor Society, 2019-2020.
  • Honored by former MS Douglas Baldwin with the establishment of the Professor Willy Hereman Endowed Scholarship Fund, 2018-present.
  • Elected Full Member of Sigma Xi — The Scientific Research Honor Society, 2018.
  • Received Professor Emeritus status, December 2016.
  • Listed in American Men and Women in Science, Gale Cengage Learning, 2016.
  • Listed in Marquis Who’s Who in America, 70th Platinum Anniversary Edition, 2016.
  • Listed in Marquis International Who’s Who in America, 69th Edition, 2015.
  • Listed in Marquis International Who’s Who in America, 68th Edition, 2014.
  • The paper “An introduction to diffusion maps” by J. de la Porte, B. M. Herbst, W. Hereman, and S. J. van der Walt (Proceedings of the 19th Symposium of the Pattern Recognition Association of South Africa – PRASA 2008, Ed.: F. Nicolls, Univ. Cape Town, Cape Town, South Africa (2008), pp. 15-25) was a key reference for Patent No. US 8,629,872 B1 System and Method for Displaying and Analyzing Financial Correlation Data by Wesley Phao, The Capital Group Companies, Inc., Los Angeles, CA.
  • The paper “Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs” by D.E. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R. Martino, and J. C. Miller (Journal of Symbolic Computation, vol. 37, issue 6, pp. 669-705, 2004) is in the journal’s top five of most downloaded papers in the first semester of 2013
  • The paper “The tanh method II. Perturbation technique for conservative systems” by W. Malfliet and W. Hereman (Physica Scripta 54(1), pp. 569-575, 1996) was featured by Elsevier Publising in the article “Section 4: Expert Opinion. Sleeping Beauties or delayed recognition: When old ideas are brought to bibliometric life,” Research Trends, Issue 21, January 2011, pp. 9-11. See: http://www.researchtrends.com/category/issue21-january-2011.
  • Listed in Marquis International Who’s Who in America, 65th Edition, 2011.
  • Listed in Marquis International Who’s Who in America, 64th Edition, 2010.
  • Listed in Marquis International Who’s Who in America, 63rd Edition, vol. 1, p.\ 2168, 2009.
  • Listed in the Madison Who’s Who in America, ?th Edition, 2009.
  • Listed in the Marquis Who’s Who in America, 63rd Edition, vol. 1, p. 2168, 2009.
  • Listed in the Who’s Who in Engineering Education, 2005, http://engineering.academickeys.com/index.php.
  • Visiting Lecturer, Program of Visiting Lecturers, The Mathematical Association of America (MAA), 1996-1998.
  • Listed in Dictionary of International Biography, Year 1994-1995, 24th Edition, Fall 1995.
  • Listed in International Who’s Who of Intellectuals, 11th Edition, 1994.
  • Listed in Marquis Who’s Who in America, Special Index Section, 47th Edition, vol. 2, 1992-1993, p. 3966 and p. 3793.
  • Listed in Marquis Who’s Who in America, Special Index Section, 48th Edition, vol. 2, 1994, p. 3889 and 4060.
  • Marquis Who’s Who in America, Regional and Topical Register, 49th Edition, vol. 2, 1995, p. 4180.
  • Listed in Marquis Who’s Who in the West, 26th Edition, 1997-1998.
  • Listed in Marquis Who’s Who in the West, Silver Anniversary 25th Edition, 1996-1997, p. 370.
  • Listed in Marquis Who’s Who in the West, 24th Edition, 1994-1995, p. 364.
  • Listed in Marquis Who’s Who in the West, 23rd Edition, 1992-1993, p. 311.
  • Listed as International Man of the Year 1992-1993, Men of Achievement’, 16th Edition, 1993.
  • Listed as International Man of the Year 1995-1996, Men of Achievement’, 17th Edition, 1996.
  • Listed in Marquis Who’s Who in the World, 12th Edition, 1995-1996.
  • Listed in International Who’s Who of Professionals, ?th Edition, 1995-1996.
  • Listed in Marquis Who’s Who in Science and Engineering, 2nd Edition, 1993-1994.
  • Listed in Marquis Who’s Who in Science and Engineering, 1st Edition, 1992-1993.
  • Listed in The National Faculty Directory, Gale Research Inc., Detroit, 27th Edition, vol. 2 (1997) p. 1469; 23rd Edition, vol. 2 (1993) p. 1450, 22nd Edition, vol. 2 (1992) p. 1505.
  • Listed in Dictionary of International Biography, Biographical Record of Contemporary Achievement, 24th Edition, Fall 1995.
  • Listed in Dictionary of International Biography, Biographical Record of Contemporary Achievement, 23rd Edition, 1993-1994.
  • Listed in The Faculty White Pages, Gale Research Inc., Detroit, p. 1363, 1992.

Memberships of Professional Societies

  • Member of the American Mathematical Society (AMS), 1990-present.
  • Member of the American Society for Engineering Education (ASEE), 2012-2016.
  • Member of the Mathematical Association of America (MAA), 1996-2002.
  • Member of Sigma Xi, The Scientific Research Honor Society, 2019-present.
  • Member of the Society for Industrial and Applied Mathematics (SIAM), 1986-present.
  • Member of the Mathematics Alumni Society (QED) Vereniging Oud-studenten Wiskunde, Ghent University, 2012-present.
  • Visiting Lecturer Panel, The Mathematical Association of America (MAA), 1996-1998.

Professional Activities and Service

1  Review Panel Service for Agencies

  • National Science Foundation: Numeric, Symbolic, and Algebraic Computation Panel, Computing and Communications Foundations, Computer and Information Science and Engineering (CISE), May 6-7, 2010.

1  Review of Departments and Graduate Programs at Other Universities

  • Review of proposed Graduate Program in Applied Mathematics at the Department of Applied Mathematics, University of California at Merced, September 2013.
  • Academic program review of the Department of Mathematics, University of Colorado at Colorado Springs, Februay 21-22, 2013.

2  Memberships of Editorial Boards

Journals

  • Applicable Analysis (Taylor and Francis Group, London, U.K.) — Associate Editor (2008-2015).
  • Applied Mathematics and Computation (Elsevier, The Netherlands) Associate Editor (2011-2015).
  • Arab Journal of Mathematics and Mathematical Sciences (AJMMS) (Research India Publications, Delhi, India) — Honorary Editor (2006-present).
  • International Journal of Computational Mathematics and Numerical Simulation (JCMNS, Serials Publications, New Delhi, India) — Honorary Editor (2007-present).
  • Kuwait Journal of Science (Kuwait University Publication Council, Kuwait) — Member International Advisory Board (2020-present).
  • Mathematical and Computational Applications (MDPI, Basel, Switzerland) Associate Editor (2016-2018).
  • Pacific Journal of Applied Mathematics (PJAM, Nova Science Publishing, New York) — Editor (2008-2015).

3  Referee Work for Journals, Publishers, Agencies & Universities

Journals

  • Acta Physica Polonica A
  • Advances in Mathematical Physics
  • AIMS Mathematics
  • American Journal of Computational Mathematics
  • Annals of Physics
  • Applicable Analysis
  • Applied Mathematics — A Journal of Chinese Universities
  • Applied Mathematics and Computation
  • Applied Mathematics Letters
  • Applied Optics
  • Bulletin of the Belgian Mathematical Society — Simon Stevin
  • Bulletin of the Iranian Mathematical Society
  • Central European Journal of Engineering
  • Chaos, Solitons & Fractals
  • Chinese Physics Letters
  • Communications in Nonlinear Science and Numerical Simulation
  • Computers and Mathematics with Applications
  • Computers in Physics
  • Computer Physics Communications
  • Discrete and Continuous Dynamical Systems
  • Discrete Dynamics in Nature and Society
  • European Journal of Applied Mathematics
  • Europhysics Letters
  • Foundations of Computational Mathematics
  • Foundations of Physics
  • Geophysical Research Letters
  • Hacettepe Journal of Mathematics and Statistics
  • IEEE Transactions on Sonics and Ultrasonics
  • Indian Journal of Physics
  • Il Nuovo Cimento
  • International Journal of Computational Methods
  • International Journal of Computers and Mathematics with Applications
  • Journal of Applied Fluid Mechanics
  • Journal of Applied Mathematics and Mechanics
  • Journal of Computational and Applied Mathematics
  • Journal of Difference Equations and Applications
  • Journal of Engineering Mathematics
  • Journal of Mathematics
  • Journal of Mathematical Analysis and Applications
  • Journal of Mathematical Physics
  • Journal of Nonlinear Mathematical Physics
  • Journal of Physics A: Mathematical and Theoretical
  • Journal of Symbolic Computation
  • Journal of the Acoustical Society of America
  • Journal of the Association of Arab Universities for Basic and Applied Sciences
  • Journal of the Franklin Institute
  • Kuwait Journal of Science
  • Mathematica Slovaca
  • Mathematical and Computer Modelling
  • Mathematics and Computers in Simulation
  • Mathematics in Computer Science
  • Mathematical Methods in the Applied Sciences
  • Mathematical Problems in Engineering
  • Mathematical Reviews
  • Nonlinear Analysis A: Theory, Methods and Applications
  • Nonlinear Dynamics
  • Numerical Functional Analysis and Optimization
  • Numerical Methods for Partial Differential Equations
  • Physica D
  • Physica Scripta
  • Physical Review B and E
  • Physical Review Letters
  • Physics Letters A
  • Physics of Plasmas
  • Physics Research International
  • Proceedings of the Royal Society A
  • Reviews in Mathematical Physics
  • Scholarpedia: Peer-reviewed, open-access encyclopedia
  • SIAM Journal of Applied Mathematics
  • SIAM Review
  • Symmetry
  • The European Physical Journal Plus
  • The IMA Journal of Applied Mathematics
  • The Mathematica Journal
  • Wave Motion
  • Zeitschrift für Angewandte Mathematik und Physik (Journal of Applied Mathematics and Physics)
  • Zeitschrift für Naturforschung A: Physical Sciences (Journal of Physics: Physical Sciences)

Proceedings International Conferences

  • Asian Conference on Computer Mathematics (ASCM)
  • International Symposium on Symbolic and Algebraic Computation (ISSAC)

Agencies

  • American Mathematical Society (AMS)
  • Engineering and Physical Sciences Research Council U.K. (EPSRC)
  • Los Alamos National Laboratory
  • National Science Foundation (NSF)
  • NATO Scientific Committee (NATO)
  • Natural Sciences and Engineering Research Council of Canada (NSERC)
  • South African National Research Foundation (NRF, formerly FRD)
  • Stichting Wiskunde Onderzoek Nederland (SWON)
  • University of Cyprus Internal Research Funding Programme 2020
  • U.S. Civilian Research & Development Foundation (CRDF)

Publishers

  • Academic Press
  • Addison-Wesley Publishing
  • Brooks/Cole Publishing
  • Elsevier Publishing
  • W. H. Freeman (Holtzbrinck) Publishers
  • Hartcourt Press
  • John Wiley and Sons, Inc.
  • Kluwer Academic Publishers
  • McGraw-Hill Companies
  • Prentice Hall
  • Springer Verlag & Telos
  • West Educational Publishing
  • Wolfram Research, Inc.

Universities

  • Brock University, St. Catharines, Ontario, Canada
  • Cairo University, Cairo and Beni-Suef, Egypt
  • Deakin University, Geelong, Victoria, Australia
  • Jordan University of Science and Technology, Irbid, Jordan
  • La Trobe University, Bundoora, Victoria, Australia
  • Monash Univeristy, Clayton, Victoria, Australia
  • Université de Montréal, Montréal, Quebec, Canada
  • Université du Quebec, Trois Rivieres, Quebec, Canada
  • University of Antwerp, Antwerp, Belgium
  • University of Colorado–Boulder, Colorado
  • University of Colorado–Colorado Springs, Colorado
  • University of Ghent, Belgium
  • University of Kwa-Zulu Natal, Durban, South Africa
  • University of London, U.K.
  • University of Saskatchewan, Saskatoon, Canada
  • University of Stellenbosch, South Africa
  • University of Texas — Pan American, Edinburg, Texas
  • University of Texas, Tyler, Texas
  • University of the Witwatersrand, Johannesburg, South Africa

4  Organization of Conferences

    • Member of the scientific committee of the “Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory”, University of Georgia, Athens, Georgia, March 29-April 1, 2017.
    • Co-organizer (with M. Usman and Ünal Göktas) of a special session on “Analytical and Computational Techniques for Differntial and Difference Equations,” Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory”, Athens, Georgia, April 1-3, 2015.
    • Member of the scientic committee of the “Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory”, University of Georgia, Athens, Georgia, April 1-3, 2015.
    • Member of the scientific committee of the “8th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory,” University of Georgia, Athens, Georgia, March 23-28, 2013.
    • Co-organizer (with Ünal Göktas) of a mini-symposium on “Symbolic and Numerical Aspects of Nonlinear erence Equations,” Eigth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, March 23-28, 2013.
    • Co-organizer (with Thomas Wolf) of the Mini-Symposium on “Novel Symbolic Methods to Investigate (Integrable) Nonlinear Differential Equations,” 2011 SIAM Conference on Nonlinear Waves and Coherent Structures, University of Washington, Seattle, Washington, June 13-16, 2012.
    • Co-organizer (with Thomas Wolf) of the Mini-Symposium on “Symmetries and Conservation Laws of Differential Equations with Applications,” Seventh International Congress on Industrial and Applied Mathematics, ICIAM 2011, Vancouver, Canada, July 18-22, 2011.
    • Organizer of a special session on “Symbolic and Numerical Computation in the Study of Nonlinear Differential and Difference Equations,” 7th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, Georgia, April 4-7, 2011.
    • Organizer of a the mini-symposium on “Recent Advances in Continuous and Discrete Integrable Systems,” 2009 SIAM Annual Meeting, Denver, Colorado, July 6-10, 2009.
    • Co-organizer (with Mark Hickman) of a Special Session on “Integrability of Continuous and Discrete Evolution Systems,” First Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society, Victoria University of Wellington, Wellington, New Zealand, December 12-15, 2007.
    • Organizer of the Mini-Symposium on “Algorithms and Software to Compute Conservation Laws of Nonlinear PDEs,” 2006 SIAM Conference on Nonlinear Waves and Coherent Structures, University of Washington, Seattle, Washington, September 9-12, 2006.
    • Organizer of the Mini-Symposium on “Symmetries, Conservation Laws, and Integrability of Wave Equations,” Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Colorado School of Mines, Golden, June 1-5, 1998.
    • Co-organizer (with Boris Komrakov) of the Workshop on “Lie Symmetry Software with Applications to Nonlinear Problems”, International Sophus Lie Centre (ISLC), Nordfjordeid, Norway, June 17-27, 1996.
    • Co-chair (with Thiab Taha) of the Special Session on “Symmetries and Closed Form Solutions of Differential Equations” at the IMACS Conference on Applications of Computer Algebra, Albuquerque, New Mexico, May 16-19, 1995.
    • Co-organizer (with Erik Van Vleck) of the “The Lookout Mountain Mini-symposium on Differential Equations,” Colorado School of Mines, Golden, Colorado, July 19, 1994.
    • Co-organizer (with Fritz Schwarz) of the Special Session on “Symbolic Computations for Differential Equations” at the 14th IMACS World Congress on Computation and Applied Mathematics, Atlanta, Georgia, July 11-15, 1994.
    • Co-organizer (with Ardel Boes) of the Regional Meeting of the Mathematical Association of America, Rocky Mountain Section, Colorado School of Mines, Golden, Colorado, April 1993.
    • Co-organizer (with David Russell) of MIPAC WORKSHOP on Computational and Experimental Aspects of Control, Center for the Mathematical Sciences, University of Wisconsin, Madison, Wisconsin, May 16-18, 1988.
    • Chairman at Session on Dynamical System and Chaos, SIAM Annual Meeting, Minneapolis, Minnesota, July 11-15, 1988.
    • Chairman at the Workshop WASDA III: Waves and Soliton Days Antwerp, University of Antwerp, Antwerp, Belgium, June 2-3, 1988.

5  Consulting Activities & Corporate Outreach

    • Flowline Risk Review, Colorado Oil and Gas Conservation Commission (COGCC), Department of Natural Resources, State of Colorado, in collaboration with W. Fleckenstein (PE), S. Bandyopadhyay (AMS); May 25-December 31, 2018.
    • Advisor for the European Union Project on Algorithmic Integrable Systems in Action (ALISA).
    • Tester for the beta version of Mathematica packages developed by Wolfram Research, Inc., Urbana-Champaign, Illinois, 1996.
    • Small Business Innovative Research (SBIR) Program: “Improved Sensitivity for Environmental Monitors through Innovative Application of Wavelets-Phase I”, ADA Technologies, Inc., Englewood, Colorado, in collaboration with Norm Bleistein, Center for Wave Phenomena, Colorado School of Mines, 1995-1996.
    • “The Bulldozer Project”, Thunder Basin Coal Company, Wright, Wyoming, December 15, 1990-August 30, 1991, with William Murphy, Master’s student.
    • “Nonlinear Optics”, Rome Air Development Center, Rome, New York, in collaboration with Prof. P.P. Banerjee, Department of Electrical and Computer Engineering, Syracuse University, Syracuse, New York; June 6-18, 1988 and August 5-10, 1988.
    • Differential Equations, CSM Professional Outreach & Evening School.
    • Modeling with Symbolic Software, CSM Professional Outreach & Evening School.
    • Short course on Mathematica Training Course for Industry, CSM Office of Special Programs & Continuing Education.
    • Short course on Wavelets Theory and Industrial Applications, CSM Office of Special Programs & Continuing Education.
Willy A. Herman

Contact

Chauvenet Hall 279
Golden, CO 80401-1887, U.S.A.
Colorado School of Mines
Golden, CO 80401
303-273-3881
whereman@mines.edu

Personal data

Country, Year of Birth: Belgium, 1954

Employment Status: Emeritus Professor since 2016

Citizenship: United States of America

Languages: Dutch, English, French, and some German

Research identifiers

ORCID

000-0001-7997-6601

Web of Science ResearcherID

E-7783-2010

Publons

1401808

Areas of interest

General

  • Applied Mathematics
  • Mathematical Modeling
  • Differential Equations
  • Theoretical Mechanics
  • Symbolic Software

Emphasis

  • Nonlinear Wave Phenomena
  • Soliton Theory
  • Symmetry Analysis
  • Integrability
  • Wavelets
  • Software Development in Mathematica

Thesis

Ph.D. Applied Mathematics, University of Ghent, Ghent, Belgium, 1982Title: Theoretical Aspects of Acousto-Optical DiffractionSupervisor: Prof. Dr. Robert Mertens (deceased)