# Greg Fasshauer

## Professor of Applied Mathematics

10 West 32nd Street, Chicago, IL 60616 (email)

Repository URL:

http://math.iit.edu/~mccomic/gaussqr/ A joint project with Mike McCourt, with additional contributions by Salvatore Ganci and Haocheng Bian. The website serves as the home for the software on stable algorithms for kernel computation built upon the Hilbert-Schmidt SVD. This MATLAB library is freely available and allows others to experiment with our code. Thus far, the library contains routines for Gaussian

Kernel-based Collocation Methods versus Galerkin Finite Element Methods for Approximating Elliptic Stochastic Partial Differential Equations. Meshfree Methods for Partial Differential Equations VI. :155-170. Abstract

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2013.
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Submitted.

A Kernel-based Collocation Method for Elliptic Partial Differential Equations with Random Coefficients. Monte Carlo and Quasi-Monte Carlo Methods 2012. :331-347.

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2014.
Reproducing kernels of Sobolev spaces via a Green kernel approach with differential operators and boundary operators. Advances in Computational Mathematics. 38(4):891-921.Website

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2013.
Multivariate interpolation with increasingly flat radial basis functions of finite smoothness. Advances in Computational Mathematics. 36(3):485-501.Website

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2012.