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ORCIDGregory E. Fasshauer
Person information
- affiliation: Illinois Institute of Technology, Department of Applied Mathematics, Chicago, USA
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Books and Theses
- 2015
[b2]Gregory E. Fasshauer, Michael J. McCourt:
Kernel-based Approximation Methods using MATLAB. Interdisciplinary Mathematical Sciences 19, WorldScientific 2015, ISBN 9789814630139, pp. 1-536- 2007
- [b1]Gregory E. Fasshauer:
Meshfree Approximation Methods with Matlab. Interdisciplinary Mathematical Sciences 6, World Scientific 2007, ISBN 978-981-270-633-1, pp. 1-520
Journal Articles
- 2024
- [j22]Wenwu Gao, Jiecheng Wang, Zhengjie Sun, Gregory E. Fasshauer:
Quasi-interpolation for high-dimensional function approximation. Numerische Mathematik 156(5): 1855-1885 (2024) - 2022
- [j21]Hamed Mohebalizadeh
, Gregory E. Fasshauer, Hojatollah Adibi:
Refined error estimates for Green kernel-based interpolation. Appl. Math. Lett. 133: 108258 (2022) - 2020
- [j20]Wenwu Gao, Gregory E. Fasshauer, Xingping Sun, Xuan Zhou:
Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches. SIAM J. Numer. Anal. 58(4): 2059-2078 (2020) - 2019
- [j19]Pankaj K. Mishra, Gregory E. Fasshauer, Mrinal K. Sen, Leevan Ling:
A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels. Comput. Math. Appl. 77(9): 2354-2368 (2019) - 2018
- [j18]J. Rashidinia, Manoochehr Khasi, Gregory E. Fasshauer:
A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations. Comput. Math. Appl. 75(5): 1831-1850 (2018) - 2017
- [j17]Guido Ala, Gregory E. Fasshauer, Elisa Francomano, Salvatore Ganci, Michael J. McCourt:
An augmented MFS approach for brain activity reconstruction. Math. Comput. Simul. 141: 3-15 (2017) - 2016
- [j16]J. Rashidinia, Gregory E. Fasshauer, Manoochehr Khasi:
A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems. Comput. Math. Appl. 72(1): 178-193 (2016) - 2015
- [j15]Roberto Cavoretto, Gregory E. Fasshauer, Michael J. McCourt:
An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels. Numer. Algorithms 68(2): 393-422 (2015) - [j14]Guido Ala, Gregory E. Fasshauer, Elisa Francomano, Salvatore Ganci, Michael J. McCourt:
The Method of Fundamental Solutions in Solving Coupled Boundary Value Problems for M/EEG. SIAM J. Sci. Comput. 37(4) (2015) - 2013
- [j13]Gregory E. Fasshauer, Qi Ye:
Reproducing kernels of Sobolev spaces via a green kernel approach with differential operators and boundary operators. Adv. Comput. Math. 38(4): 891-921 (2013) - 2012
- [j12]Guohui Song, John Riddle, Gregory E. Fasshauer, Fred J. Hickernell:
Multivariate interpolation with increasingly flat radial basis functions of finite smoothness. Adv. Comput. Math. 36(3): 485-501 (2012) - [j11]Igor Cialenco, Gregory E. Fasshauer, Qi Ye:
Approximation of stochastic partial differential equations by a kernel-based collocation method. Int. J. Comput. Math. 89(18): 2543-2561 (2012) - [j10]Gregory E. Fasshauer, Fred J. Hickernell, Henryk Wozniakowski:
On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels. SIAM J. Numer. Anal. 50(1): 247-271 (2012) - [j9]Gregory E. Fasshauer, Michael J. McCourt:
Stable Evaluation of Gaussian Radial Basis Function Interpolants. SIAM J. Sci. Comput. 34(2) (2012) - 2011
- [j8]Gregory E. Fasshauer, Qi Ye:
Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators. Numerische Mathematik 119(3): 585-611 (2011) - 2007
- [j7]Gregory E. Fasshauer, Jack G. Zhang:
On choosing "optimal" shape parameters for RBF approximation. Numer. Algorithms 45(1-4): 345-368 (2007) - 2006
- [j6]Gregory E. Fasshauer:
Preface. Comput. Math. Appl. 51(8): xiii-xv (2006) - 2000
- [j5]Gregory E. Fasshauer, Eugene C. Gartland, Joseph W. Jerome:
Newton iteration for partial differential equations and the approximation of the identity. Numer. Algorithms 25(1-4): 181-195 (2000) - 1999
- [j4]Gregory E. Fasshauer, Joseph W. Jerome:
Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels. Adv. Comput. Math. 10(1): 1-27 (1999) - [j3]Gregory E. Fasshauer:
Hermite interpolation with radial basis functions on spheres. Adv. Comput. Math. 10(1): 81-96 (1999) - [j2]Gregory E. Fasshauer:
Solving differential equations with radial basis functions: multilevel methods and smoothing. Adv. Comput. Math. 11(2-3): 139-159 (1999) - 1996
- [j1]Gregory E. Fasshauer, Larry L. Schumaker:
Minimal energy surfaces using parametric splines. Comput. Aided Geom. Des. 13(1): 45-79 (1996)
Informal and Other Publications
- 2024
- [i2]Wenwu Gao, Jiecheng Wang, Zhengjie Sun, Gregory E. Fasshauer:
Quasi-interpolation for high-dimensional function approximation. CoRR abs/2409.14278 (2024) - [i1]Nicholas Fisher, Gregory E. Fasshauer, Wenwu Gao:
Quasi-interpolation for the Helmholtz-Hodge decomposition. CoRR abs/2412.04600 (2024)
Coauthor Index
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