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math.NA2014
Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds
Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger +1
This article develops direct and inverse estimates for certain finite dimensional spaces arising in kernel approximation. Both the direct and inverse estimates are based on approxi…
math.NA2014★ 6 cited
A Novel Galerkin Method for Solving PDEs on the Sphere Using Highly Localized Kernel Bases
F. J. Narcowich, Stephen T. Rowe, Joseph D. Ward
We present a novel Galerkin method for solving partial differential equations on the sphere. The problem is discretized by a highly localized basis which is easily constructed. The…