Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation

DOI10.1016/j.amc.2006.07.003zbMath1121.65096OpenAlexW2110087418MaRDI QIDQ879584

Zhiqiang Sheng, Xudeng Hang, Guang-Wei Yuan

Publication date: 14 May 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.003

zbMATH Keywords

convergenceheat equationnumerical examplesunconditional stabilityparallel computationparabolic equationsecond order accuracy

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)

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Cites Work

• Unnamed Item
• Alternating group explicit method for the diffusion equation
• On alternating segment Crank-Nicolson scheme
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
• Difference Graphs of Block ADI Method
• Efficient Parallel Algorithms for Parabolic Problems
• ILUM: A Multi-Elimination ILU Preconditioner for General Sparse Matrices
• Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems

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