Gregory E. Fasshauer

Orcid: 0000-0002-3654-2827

Affiliations:
  • Illinois Institute of Technology, Department of Applied Mathematics, Chicago, USA


According to our database1, Gregory E. Fasshauer authored at least 22 papers between 1996 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

Timeline

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Bibliography

2022
Refined error estimates for Green kernel-based interpolation.
Appl. Math. Lett., 2022

2020
Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches.
SIAM J. Numer. Anal., 2020

2019
A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels.
Comput. Math. Appl., 2019

2018
A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations.
Comput. Math. Appl., 2018

2017
An augmented MFS approach for brain activity reconstruction.
Math. Comput. Simul., 2017

2016
A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems.
Comput. Math. Appl., 2016

2015
The Method of Fundamental Solutions in Solving Coupled Boundary Value Problems for M/EEG.
SIAM J. Sci. Comput., 2015

An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels.
Numer. Algorithms, 2015

2013
Reproducing kernels of Sobolev spaces via a green kernel approach with differential operators and boundary operators.
Adv. Comput. Math., 2013

2012
Stable Evaluation of Gaussian Radial Basis Function Interpolants.
SIAM J. Sci. Comput., 2012

On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels.
SIAM J. Numer. Anal., 2012

Approximation of stochastic partial differential equations by a kernel-based collocation method.
Int. J. Comput. Math., 2012

Multivariate interpolation with increasingly flat radial basis functions of finite smoothness.
Adv. Comput. Math., 2012

2011
Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators.
Numerische Mathematik, 2011

2007
On choosing "optimal" shape parameters for RBF approximation.
Numer. Algorithms, 2007

Meshfree Approximation Methods with Matlab
Interdisciplinary Mathematical Sciences 6, World Scientific, ISBN: 978-981-270-634-8, 2007

2006
Preface.
Comput. Math. Appl., 2006

2000
Newton iteration for partial differential equations and the approximation of the identity.
Numer. Algorithms, 2000

1999
Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels.
Adv. Comput. Math., 1999

Solving differential equations with radial basis functions: multilevel methods and smoothing.
Adv. Comput. Math., 1999

Hermite interpolation with radial basis functions on spheres.
Adv. Comput. Math., 1999

1996
Minimal energy surfaces using parametric splines.
Comput. Aided Geom. Des., 1996


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