Nyström discretization of parabolic boundary integral equations

DOI10.1016/j.apnum.2008.12.032zbMath1176.65103OpenAlexW2024654176MaRDI QIDQ842948

Johannes Tausch

Publication date: 28 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.12.032

zbMATH Keywords

numerical resultsheat equationboundary element methodquadrature ruleAbel integral equationNeumann problemtrapezoidal ruleNyström discretization

Mathematics Subject Classification ID

Heat equation (35K05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

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• Spectral approximation of the free-space heat kernel
• Boundary integral solution of the two-dimensional heat equation
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Numerical Quadrature and Asymptotic Expansions
• Linear integral equations

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