4 citations · 9 across the 11 of their papers we have counts for
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Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres
Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich +2
The aim of this paper is to show how rapidly decaying RBF Lagrange functions on the spheres can be used to create effective, stable finite difference methods based on radial basis…
Kernel Multi-Grid on Manifolds
Thomas Hangelbroek, Christian Rieger
Kernel methods for solving partial differential equations on surfaces have the advantage that those methods work intrinsically on the surface and yield high approximation rates if…
Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms
Thomas Hangelbroek, Christian Rieger
Radial basis functions (RBFs) are prominent examples for reproducing kernels with associated reproducing kernel Hilbert spaces (RKHSs). The convergence theory for the kernel-based…