[2302.08470] Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres
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Mathematics > Numerical Analysis

arXiv:2302.08470 (math)
[Submitted on 16 Feb 2023]

Title:Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres

Authors:Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
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Abstract: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 functions (RBF-FD). For certain classes of PDEs this approach leads to precise convergence estimates for stencils which grow moderately with increasing discretization fineness.
Subjects: Numerical Analysis (math.NA)
MSC classes: 65D12, 65N06
Cite as: arXiv:2302.08470 [math.NA]
  (or arXiv:2302.08470v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2302.08470

Submission history

From: Thomas Hangelbroek [view email]
[v1] Thu, 16 Feb 2023 18:25:24 UTC (26 KB)
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