A semi-analytical numerical method for solving evolution and elliptic partial differential equations
type: Item
instance of: scholarly article
title: A semi-analytical numerical method for solving evolution and elliptic partial differential equations
zbMATH Open document ID: 1170.65079
author: Natasha Flyer
author: S. A. Smitheman
author: A. S. Fokas
author: E. A. Spence
published in: Journal of Computational and Applied Mathematics
publication date: 2009-04-21T00:00:00Z
review text: \textit{A.~S.~Fokas} [Proc.~R.~Soc.~Lond., Ser.~A 453, No.~1962, 1411--1443 (1997; Zbl 0876.35102)] has introduced a new method for analyzing initial-boundary value problems for linear and integrable nonlinear partial differential equations (PDEs). Now it is shown how this method can be used for getting semi-analytical numerical methods for solving evolution and elliptic PDE's.
reviewed by: Michael Jung
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 5545794
zbMATH Keywords: boundary value problems
zbMATH Keywords: evolutionary partial differential equations
zbMATH Keywords: elliptic partial differential equations
zbMATH Keywords: transform method
zbMATH Keywords: initial-boundary value problems
zbMATH Keywords: semi-analytical numerical methods
MaRDI profile type: Publication
full work available at URL: j.cam.2008.07.036
OpenAlex ID: W2033624051
cites work: A unified transform method for solving linear and certain nonlinear PDEs
cites work: Boundary-value problems for linear PDEs with variable coefficients
cites work: A new transform method for evolution partial differential equations
cites work: A transform method for linear evolution PDEs on a finite interval
cites work: A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon
cites work: From high oscillation to rapid approximation I: modified Fourier expansions
cites work: An analytical method for linear elliptic PDEs and its numerical implementation
cites work: A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line
cites work: The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation
DOI: 10.1016/J.CAM.2008.07.036
description: scientific article; zbMATH DE number 5545794