13 citations · 28 across the 14 of their papers we have counts for
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Fast and accurate algorithms for the computation of spherically symmetric nonlocal diffusion operators on lattices
Yu Li, Richard Mikael Slevinsky
We present a unified treatment of the Fourier spectra of spherically symmetric nonlocal diffusion operators. We develop numerical and analytical results for the class of kernels wi…
A rapid and well-conditioned algorithm for the Helmholtz--Hodge decomposition of vector fields on the sphere
Julien Molina, Richard Mikael Slevinsky
A rapid algorithm is derived for the Helmholtz--Hodge decomposition on the surface of the sphere in spherical coordinates. The algorithm uncouples modes of spherical harmonics with…
A spectral method for nonlocal diffusion operators on the sphere
Richard Mikael Slevinsky, Hadrien Montanelli, Qiang Du
We present algorithms for solving spatially nonlocal diffusion models on the unit sphere with spectral accuracy in space. Our algorithms are based on the diagonalizability of nonlo…