Gregory E. Fasshauer

发表

Minimal energy surfaces using parametric splines

Larry L. Schumaker, Gregory E. Fasshauer, L. Schumaker, 1996, Comput. Aided Geom. Des..

The Uncertainty Principle — An Unfortunate Misconception

Gregory E. Fasshauer, Michael McCourt, 2015 .

Application of radial basis functions to represent optical freeform surfaces

Jannick P. Rolland, Kevin P. Thompson, Ilhan Kaya, 2010, International Optical Design Conference.

Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches

Xingping Sun, Xuan Zhou, Gregory E. Fasshauer, 2020, SIAM J. Numer. Anal..

On choosing “optimal” shape parameters for RBF approximation

Gregory E. Fasshauer, Jack G. Zhang, G. Fasshauer, 2007, Numerical Algorithms.

Meshfree Approximation Methods with Matlab

Gregory E. Fasshauer, G. Fasshauer, 2007, Interdisciplinary Mathematical Sciences.

Meshfree approximation methods for free-form surface representation in optical design with applications to head-worn displays

Hassan Foroosh, Jannick P. Rolland, Kevin P. Thompson, 2008, Optical Engineering + Applications.

The Method of Fundamental Solutions in Solving Coupled Boundary Value Problems for M/EEG

Elisa Francomano, Guido Ala, Michael J. McCourt, 2015, SIAM J. Sci. Comput..

Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels

Gregory E. Fasshauer, Joseph W. Jerome, J. Jerome, 1999, Adv. Comput. Math..

A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems

Jalil Rashidinia, Gregory E. Fasshauer, M. Khasi, 2016, Comput. Math. Appl..

Scattered Data Fitting

Gregory E. Fasshauer, Michael McCourt, 2015 .

A Meshfree Solver for the MEG Forward Problem

Elisa Francomano, Guido Ala, Michael J. McCourt, 2015, IEEE Transactions on Magnetics.

A meshfree approach for brain activity source modeling

Elisa Francomano, Guido Ala, Gregory E. Fasshauer, 2015 .

Kernel-based Approximation Methods using MATLAB

Gregory E. Fasshauer, Michael McCourt, G. Fasshauer, 2015, Interdisciplinary Mathematical Sciences.

Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter

António J.M. Ferreira, Romesh C. Batra, Gregory E. Fasshauer, 2008 .

Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators

Qi Ye, Gregory E. Fasshauer, G. Fasshauer, 2011, Numerische Mathematik.

An augmented MFS approach for brain activity reconstruction

Elisa Francomano, Guido Ala, Michael J. McCourt, 2017, Math. Comput. Simul..

Hermite interpolation with radial basis functions on spheres

Gregory E. Fasshauer, G. Fasshauer, 1999, Adv. Comput. Math..

An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels

Roberto Cavoretto, Michael J. McCourt, Gregory E. Fasshauer, 2014, Numerical Algorithms.

Stable Evaluation of Gaussian Radial Basis Function Interpolants

Michael J. McCourt, Gregory E. Fasshauer, G. Fasshauer, 2012, SIAM J. Sci. Comput..

Solving differential equations with radial basis functions: multilevel methods and smoothing

Gregory E. Fasshauer, G. Fasshauer, 1999, Adv. Comput. Math..

Approximation of stochastic partial differential equations by a kernel-based collocation method

Qi Ye, Igor Cialenco, Gregory E. Fasshauer, 2011, Int. J. Comput. Math..

Reproducing kernels of Sobolev spaces via a green kernel approach with differential operators and boundary operators

Qi Ye, Gregory E. Fasshauer, G. Fasshauer, 2011, Adv. Comput. Math..

Newton iteration for partial differential equations and the approximation of the identity

Gregory E. Fasshauer, Joseph W. Jerome, Eugene C. Gartland, 2004, Numerical Algorithms.

On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels

Fred J. Hickernell, Henryk Wozniakowski, Gregory E. Fasshauer, 2012, SIAM J. Numer. Anal..

A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations

Jalil Rashidinia, Gregory E. Fasshauer, M. Khasi, 2017, Comput. Math. Appl..

Multivariate interpolation with increasingly flat radial basis functions of finite smoothness

Fred J. Hickernell, Guohui Song, Gregory E. Fasshauer, 2012, Adv. Comput. Math..

Newton iteration with multiquadrics for the solution of nonlinear PDEs

Gregory E. Fasshauer, G. Fasshauer, 2002 .

A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation

Leevan Ling, Henry Power, Gregory E. Fasshauer, 2004 .

Natural frequencies of thick plates made of orthotropic, monoclinic, and hexagonal materials by a meshless method

Romesh C. Batra, Gregory E. Fasshauer, António J.M. Ferreira, 2009 .

Iterated Approximate Moving Least Squares Approximation

Gregory E. Fasshauer, Jack G. Zhang, 2007 .

Green’s Functions: Taking Another Look at Kernel Approximation, RadialBasis Functions, and Splines

Gregory E. Fasshauer, G. Fasshauer, 2012 .

Analysis of natural frequencies of composite plates by an RBF-pseudospectral method

Gregory E. Fasshauer, António J.M. Ferreira, G. Fasshauer, 2007 .

Preconditioning of Radial Basis Function Interpolation Systems via Accelerated Iterated Approximate Moving Least Squares Approximation

Gregory E. Fasshauer, G. Fasshauer, Jack G. Zhang, 2009 .

Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method

Gregory E. Fasshauer, António J.M. Ferreira, G. Fasshauer, 2006 .

Adaptive Least Squares Fitting with Radial Basis Functions on the Sphere

Gregory E. Fasshauer, G. Fasshauer, 1995 .

Algorithms defined by Nash iteration: some implementations via multilevel collocation and smoothing

Gregory E. Fasshauer, Joseph W. Jerome, Eugene C. Gartland, 2000 .

Analysis of Functionally Graded Plates by a Robust Meshless Method

Renato Natal Jorge, C.M.C. Roque, Romesh C. Batra, 2007 .

Rate of Convergence and Tractability of the Radial Function Approximation Problem

Fred J. Hickernell, Gregory E. Fasshauer, Henryk Wo'zniakowski, 2010 .

On the numerical solution of differential equations with radial basis functions

Gregory E. Fasshauer, 1999 .