Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems

DOI10.1007/s11425-007-0014-7zbMath1130.65094OpenAlexW2072471777MaRDI QIDQ2372521

Xudeng Hang, Zhiqiang Sheng, Guang-Wei Yuan

Publication date: 30 July 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0014-7

zbMATH Keywords

stabilityconvergencenumerical examplesextrapolationquasi-linear parabolic systemimplicit difference schemes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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 (7)

Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes ⋮ Parallelization methods for solving three-temperature radiation-hydrodynamic problems ⋮ Second order in time and space corrected explicit-implicit domain decomposition scheme for convection-diffusion equations ⋮ A class of domain decomposition based nonlinear explicit-implicit iteration algorithms for solving diffusion equations with discontinuous coefficient ⋮ An efficient explicit/implicit domain decomposition method for convection-diffusion equations ⋮ Conservative domain decomposition procedure with unconditional stability and second-order accuracy ⋮ Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations

Cites Work

• Alternating group explicit method for the diffusion equation
• The sub-implicit method: New multiprocessor algorithms for old implicit codes
• Using parallel banded linear system solvers in generalized eigenvalue problems
• 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
• Algebraic Methods Versus Map Methods Of Solving Boolean Equations
• Efficient Parallel Algorithms for Parabolic Problems
• Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems

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