Multipole expansion of the fundamental solution of a fractional degree of the Laplace operator

DOI10.1007/S10958-023-06696-4OpenAlexW4387500288MaRDI QIDQ6184087

Stanislav Yu. Lukashchuk, Nikita S. Belevtsov

Publication date: 24 January 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06696-4

zbMATH Keywords

fundamental solutionfast multipole methodmultipole expansionnumerical algorithmfractional Laplacian

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11) Green's functions for elliptic equations (35J08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure
• A fast method for solving the heat equation by layer potentials
• Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
• Riesz fractional derivatives and fractional dimensional space
• Lie group analysis of 2‐dimensional space‐fractional model for flow in porous media
• A fast algorithm for particle simulations

This page was built for publication: Multipole expansion of the fundamental solution of a fractional degree of the Laplace operator