3 papers
math.NA2024
Barycentric interpolation formulas for the sphere and the disk
Michael Chiwere, Grady B. Wright
Spherical and polar geometries arise in many important areas of computational science, including weather and climate forecasting, optics, and astrophysics. In these applications, t…
math.CA2024
Generalized local polynomial reproductions
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
We present a general framework, treating Lipschitz domains in Riemannian manifolds, that provides conditions guaranteeing the existence of norming sets and generalized local polyno…
math.NA2023
Spectral stability and perturbation results for kernel differentiation matrices on the sphere
Thomas Hangelbroek, Christian Rieger, Grady Wright
We investigate the spectrum of differentiation matrices for certain operators on the sphere that are generated from collocation at a set of scattered points with positive defin…