A high-order parallel finite difference algorithm

DOI10.1016/j.amc.2006.05.216zbMath1121.65095OpenAlexW2039811935MaRDI QIDQ864780

Jennifer J. Zhao, Shaohong Zhu, Zhi-ling Yu

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.216

zbMATH Keywords

stabilityconvergencenumerical resultsheat equationdomain decomposition methodsalternating methodshigh-order parallel finite difference algorithm

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)

Related Items (3)

Domain decomposition schemes with high-order accuracy and unconditional stability ⋮ Conservative domain decomposition procedure with unconditional stability and second-order accuracy ⋮ Parallel iterative methods for parabolic equations

Cites Work

• Unnamed Item
• On alternating segment Crank-Nicolson scheme
• General difference schemes with intrinsic parallelism for nonlinear parabolic systems
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Group explicit methods for parabolic equations
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
• Domain decomposition algorithm based on the group explicit formula for the heat equation

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