On alternating segment Crank-Nicolson scheme

DOI10.1016/0167-8191(94)90123-6zbMath0806.65083OpenAlexW2052991920MaRDI QIDQ1334869

Wenzhi Li, Bao-Lin Zhang

Publication date: 19 February 1995

Published in: Parallel Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8191(94)90123-6

zbMATH Keywords

diffusion equationunconditional stabilitycomputational experimentserror boundtransputer systemsalternating segment Crank-Nicolson schemeparallel or vector computersSoul'yev's asymmetric scheme

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (16)

Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes ⋮ A class of alternating group method of Burgers' equation ⋮ A high-order parallel finite difference algorithm ⋮ The splitting Crank-Nicolson scheme with intrinsic parallelism for solving parabolic equations ⋮ Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation ⋮ A new class of difference methods with intrinsic parallelism for Burgers-Fisher equation ⋮ A new parallel algorithm for solving parabolic equations ⋮ The alternating segment Crank-Nicolson method for solving convection-diffusion equation with variable coefficient ⋮ A comparison between alternating segment Crank-Nicolson and explicit-implicit schemes for the dispersive equation ⋮ An efficient alternating segment parallel finite difference method for multi-term time fractional diffusion-wave equation ⋮ A parallel algorithm for solving the implicit diffusion difference equations ⋮ Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems ⋮ Alternating block Crank-Nicolson method for the 3-D heat equation ⋮ A four-order alternating segment Crank-Nicolson scheme for the dispersive equation ⋮ New Parallel Algorithm for Convection-Dominated Diffusion Equation ⋮ The alternating segment explicit-implicit scheme for the dispersive equation

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