Parallel iterative methods for parabolic equations

DOI10.1080/00207160701598446zbMath1160.65328OpenAlexW1984320251MaRDI QIDQ3615547

Wenrui Hao, Shaohong Zhu

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.1080/00207160701598446

zbMATH Keywords

convergenceheat equationdomain decompositionnumerical experimentsparabolic equationdifference schemeparallel iterative method

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) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

Domain decomposition schemes with high-order accuracy and unconditional stability ⋮ A bootstrapping approach for computing multiple solutions of differential equations ⋮ Convergence analysis of neural networks for solving a free boundary problem

Cites Work

• Unnamed Item
• A high-order parallel finite difference algorithm
• Using parallel banded linear system solvers in generalized eigenvalue problems
• Group explicit methods for parabolic equations
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Domain decomposition algorithm based on the group explicit formula for the heat equation

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