Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means

DOI10.1137/19M1262358zbMath1458.78024OpenAlexW3087820454MaRDI QIDQ5131995

Boxi Xu, Jianliang Qian, Shingyu Leung, Jin Cheng

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1262358

zbMATH Keywords

spherical meansfractional Laplacianhypersingular operatorRiesz operatorDarboux's equation

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Numerical methods for integral transforms (65R10) Finite difference methods for boundary value problems involving PDEs (65N06) Euler-Poisson-Darboux equations (35Q05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Asymptotic analysis in optics and electromagnetic theory (78M35) Geometric optics (78A05) Fractional partial differential equations (35R11)

Related Items (2)

Error Estimates of Finite Difference Methods for the Fractional Poisson Equation with Extended Nonhomogeneous Boundary Conditions ⋮ Finite element approximation of optimal control problem with integral fractional Laplacian and state constraint

Uses Software

• NFFT
• NFFT3

Cites Work

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