A spectral method for nonlocal diffusion operators on the sphere

DOI10.1016/j.jcp.2018.06.024zbMath1415.65238arXiv1801.04902OpenAlexW2963482772MaRDI QIDQ2000473

Qiang Du, Hadrien Montanelli, Richard Mikael Slevinsky

Publication date: 28 June 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04902

zbMATH Keywords

pattern formationspectral methodsexponential integratorsnonlocal diffusion operatorsfast spherical harmonicsnonlocal PDEs on the sphere

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Integro-partial differential equations (35R09) Pattern formations in context of PDEs (35B36)

Related Items (6)

A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels ⋮ Numerical methods for nonlocal and fractional models ⋮ Fast algorithms using orthogonal polynomials ⋮ Tensor calculus in spherical coordinates using Jacobi polynomials. I: Mathematical analysis and derivations ⋮ Fast and accurate algorithms for the computation of spherically symmetric nonlocal diffusion operators on lattices ⋮ A fast convolution-based method for peridynamic transient diffusion in arbitrary domains

Uses Software

• Matlab
• DLMF
• Chebfun
• SingularIntegralEquations

Cites Work

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