Fundamental solutions of nine-point discrete Laplacians

DOI10.1016/0168-9274(92)90048-IzbMath0758.65065OpenAlexW2052374748MaRDI QIDQ1195368

Robert E. Lynch

Publication date: 25 October 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90048-i

zbMATH Keywords

asymptotic expansionfundamental solutionLaplace operatorLaplace equationnine-point discretizations

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

Fundamental solution of a multidimensional difference equation with periodical and matrix coefficients ⋮ Statistical mechanics of neocortical interactions: large-scale EEG influences on molecular processes ⋮ Boundary value problems for partial difference equations ⋮ Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions ⋮ On the solutions of generalized discrete Poisson equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Basic properties of discrete analytic functions
• Difference equations of polyharmonic type
• Asymptotic expansion of double Fourier transforms
• Fundamental Solutions for Multivariate Difference Equations
• XXII.—Random Paths in Two and Three Dimensions

This page was built for publication: Fundamental solutions of nine-point discrete Laplacians