Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems

DOI10.1016/S0096-3003(99)00180-0zbMath1023.65096OpenAlexW2049200180MaRDI QIDQ5931690

Yulin Zhou, Long-jun Shen, Guang-Wei Yuan

Publication date: 25 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00180-0

zbMATH Keywords

stabilityfinite difference methodparallel computationalternating group explicit schemeCrank-Nicolson schemesemilinear parabolic system

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)

Related Items (7)

An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations ⋮ 2D parallel and stable group explicit finite difference method for solution of diffusion equation ⋮ Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems ⋮ New stable group explicit finite difference method for solution of diffusion equation ⋮ Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation ⋮ Armadillo generation distributed system with geranium Cadcam cluster for solving 2D telegraphic problem ⋮ Parallel implementation of 2-D telegraphic equation on MPI/PVM cluster

Cites Work

• A new explicit method for the diffusion-convection equation
• Alternating group explicit method for the diffusion equation
• On alternating segment Crank-Nicolson scheme
• AGE METHOD WITH VARIABLE COEFFICIENTS FOR PARALLEL COMPUTING
• The variable coefficient ASE-I, ASC-N methods and their stability
• Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems
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