Polynomial collocation using a domain decomposition solution to parabolic PDE's via the penalty method and explicit/implicit time marching

DOI10.1007/BF01108035zbMath0780.65060MaRDI QIDQ2367709

Kelly Black

Publication date: 18 August 1993

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsdomain decompositionparallel processingpenalty methodtime discretizationpolynomial collocationexplicit DuFort-Frankel methodexplicit/implicit finite difference methodexplicit/implicit time marchingimplicit backward Euler method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

• The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• A multidomain spectral approximation of elliptic equations
• Generalized Du Fort–Frankel Methods for Parabolic Initial-Boundary Value Problems
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