Gregory E. Fasshauer

Publication Activity (10 Years)

Years Active: 1996-2022
Publications (10 Years): 8

Top Topics

Error Estimates

Solving Nonlinear

Top Venues

Comput. Math. Appl.

Appl. Math. Lett.

Math. Comput. Simul.

SIAM J. Numer. Anal.

Publications

Hamed Mohebalizadeh, Gregory E. Fasshauer, Hojatollah Adibi
Refined error estimates for Green kernel-based interpolation. Appl. Math. Lett. 133 (2022)
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) (2020)
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) (2019)
J. Rashidinia, M. Khasi, Gregory E. Fasshauer
A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations. Comput. Math. Appl. 75 (5) (2018)
Guido Ala, Gregory E. Fasshauer, Elisa Francomano, Salvatore Ganci, Michael J. McCourt
An augmented MFS approach for brain activity reconstruction. Math. Comput. Simul. 141 (2017)
J. Rashidinia, Gregory E. Fasshauer, M. Khasi
A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems. Comput. Math. Appl. 72 (1) (2016)
Roberto Cavoretto, Gregory E. Fasshauer, Michael J. McCourt
An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels. Numer. Algorithms 68 (2) (2015)
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)
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) (2013)
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) (2012)
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) (2012)
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) (2012)
Gregory E. Fasshauer, Michael J. McCourt
Stable Evaluation of Gaussian Radial Basis Function Interpolants. SIAM J. Sci. Comput. 34 (2) (2012)
Gregory E. Fasshauer, Qi Ye
Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators. Numerische Mathematik 119 (3) (2011)
Gregory E. Fasshauer, Jack G. Zhang
On choosing "optimal" shape parameters for RBF approximation. Numer. Algorithms 45 (1-4) (2007)
Gregory E. Fasshauer
Preface. Comput. Math. Appl. 51 (8) (2006)
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) (2000)
Gregory E. Fasshauer
Solving differential equations with radial basis functions: multilevel methods and smoothing. Adv. Comput. Math. 11 (2-3) (1999)
Gregory E. Fasshauer
Hermite interpolation with radial basis functions on spheres. Adv. Comput. Math. 10 (1) (1999)
Gregory E. Fasshauer, Joseph W. Jerome
Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels. Adv. Comput. Math. 10 (1) (1999)
Gregory E. Fasshauer, Larry L. Schumaker
Minimal energy surfaces using parametric splines. Comput. Aided Geom. Des. 13 (1) (1996)