On a boundary integral method for the solution of the heat equation in unbounded domains with a nonsmooth boundary

DOI10.1216/jiea/1020282236zbMath0980.65100OpenAlexW2029706936MaRDI QIDQ5939767

Olaf Hansen

Publication date: 30 July 2001

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL12-4/CONT12-4/CONT12-4.html

zbMATH Keywords

stabilityconvergencenumerical examplecollocation methodheat equationboundary integral methodmethod of linesRothe method

Mathematics Subject Classification ID

Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

Solution of the two-dimensional heat equation for a square in terms of elliptic functions

Cites Work

• Boundary integral operators for the heat equation
• Semigroups of linear operators and applications to partial differential equations
• Elliptic problems in domains with piecewise smooth boundaries
• On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
• Time discretization of parabolic boundary integral equations
• An optimal order collocation method for first kind boundary integral equations on polygons
• Rothe's method for the heat equation and boundary integral equations
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
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