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math.CA2026
Kernel approximation beyond the native space -- with applications to approximation on manifolds
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
This article treats kernel approximation and interpolation on embedded manifolds of using restrictions of positive and conditionally positive definite kernels. The ma…
math.NA2026
Spectral interpolation in semi-implicit semi-Lagrangian methods for shallow water equations on the sphere
Michael Chiwere, Daniel Fortunato, Grady B. Wright
Semi-implicit semi-Lagrangian (SISL) methods are commonly used for the shallow water equations (SWE) because they allow for larger time steps than those permitted by the Courant-Fr…