New techniques in designing finite-difference domain decomposition algorithm for the heat equation

DOI10.1016/S0898-1221(03)80126-8zbMath1055.65108OpenAlexW1995244244MaRDI QIDQ1827256

Zheng-Su Wan, Bao-Lin Zhang

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)80126-8

zbMATH Keywords

algorithmsstabilityheat equationerror estimatesnumerical examplesdomain decompositionparallel computationfinite-difference schemesSaul'yev schemesinterface grid points

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

• Alternating group explicit method for the diffusion equation
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
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