Greg Fasshauer
Professor
Department of Applied Mathematics & Statistics
Chauvenet Hall 222
Tel:(303) 273-3803
Email:fasshauer@mines.edu
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
- (with Milena Belianovich, Akil Narayan and Varun Shankar) A Unified Framework for Efficient Kernel and Polynomial Approximation, Approx. Softw. (2026), accepted.
- (with Wenwu Gao, Jiecheng Wang, and Zhengjie Sun) Quasi-interpolation for high-dimensional function approximation, Numer. Math. 156 (2024) 1855–1885.
- (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.
- (with H. Mohebalizadeh and H. Adibi) Refined error estimates for Green kernel-based interpolation, Appl. Lett. 133 (2022) 108258.
- (with W. Gao and N. Fisher) Divergence-free quasi-interpolation, Appl. Harmon. Anal. 60 (2022) 471–488.