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Greg Fasshauer

Professor
Department of Applied Mathematics & Statistics
Chauvenet Hall 222

Tel:(303) 273-3803
Email:fasshauer@mines.edu

Greg Fasshauer

Education

  • Diploma in Mathematics (1991) University of Stuttgart
  • Staatsexamen in Mathematics and English (1991) University of Stuttgart
  • M.A. in Mathematics (1993) Vanderbilt University
  • Ph.D. in Mathematics (1995) Vanderbilt University

Research

  • Kernel-based Methods
  • Applications of Kernel-based Methods
  • Numerical Analysis
  • Functional Analysis
  • Approximation Theory
  • Statistics and Stochastics
  • Machine Learning
  • Computer-Aided Geometric Design
  • Multivariate Splines

Publications

  1. (with Milena Belianovich, Akil Narayan and Varun Shankar) A Unified Framework for Efficient Kernel and Polynomial Approximation, Approx. Softw. (2026), accepted.
  2. (with Wenwu Gao, Jiecheng Wang, and Zhengjie Sun) Quasi-interpolation for high-dimensional function approximation, Numer. Math. 156 (2024) 1855–1885.
  3. (with H. Mohebalizadeh and H. Adibi) Reproducing kernels of Sobolev–Slobodecki˘j spaces via a Green’s kernel approach: Theory and applications, Analysis and Applications 21, No. 4 (2023) 1067–1103.
  4. (with H. Mohebalizadeh and H. Adibi) Refined error estimates for Green kernel-based interpolation, Appl. Lett. 133 (2022) 108258.
  5. (with W. Gao and N. Fisher) Divergence-free quasi-interpolation, Appl. Harmon. Anal. 60 (2022) 471–488.
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