Domain decomposition algorithm based on the group explicit formula for the heat equation

DOI10.1080/0020716042000301824zbMath1079.65099OpenAlexW2119338678MaRDI QIDQ5699927

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Publication date: 27 October 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716042000301824

zbMATH Keywords

stabilityconvergencenumerical resultsfinite difference methoddomain decompositionparallel computingheat equations

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (8)

A high-order parallel finite difference algorithm ⋮ Domain decomposition schemes with high-order accuracy and unconditional stability ⋮ A comparison between alternating segment Crank-Nicolson and explicit-implicit schemes for the dispersive equation ⋮ Conservative domain decomposition procedure with unconditional stability and second-order accuracy ⋮ Parallel iterative methods for parabolic equations ⋮ An overlapping domain decomposition Schwarz method applied to the method of fundamental solution ⋮ A four-order alternating segment Crank-Nicolson scheme for the dispersive equation ⋮ A new alternating group explicit-implicit algorithm with high accuracy for dispersive equation

Cites Work

• General difference schemes with intrinsic parallelism for nonlinear parabolic systems
• Group explicit methods for parabolic equations
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences

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