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math.NA2026
Adaptive RBF-multiscale approximation on bounded domains
Federico Lot, Christian Rieger
This article addresses adaptivity in the kernel multiscale method. Adaptively compressed kernel multiscale approximations have already been presented and analyzed in (LeGia & Wendl…
math.NA2026
Smoothing by, and eccentric smoothing of, compactly supported RBFs
Thomas Hangelbroek, Christian Rieger
We consider compactly supported RBFs having algebraically decaying Fourier transforms. Here we focus especially on generalized Wendland RBFs and their modification by making them s…
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…