Difference Graphs of Block ADI Method

DOI10.1137/S0036142998340083zbMath0978.65072MaRDI QIDQ4509706

Bao-Lin Zhang

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilityheat equationparallel computationADI methoddifference graphsblock alternating direction implicit method

Mathematics Subject Classification ID

Applications of graph theory (05C90) 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)

Related Items (8)

Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes ⋮ Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation ⋮ A second-order uniformly stable explicit asymmetric discretization method for one-dimensional fractional diffusion equations ⋮ On dynamic threshold graphs and related classes ⋮ A new high accuracy locally one-dimensional scheme for the wave equation ⋮ Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations ⋮ A stable explicitly solvable numerical method for the Riesz fractional advection-dispersion equations ⋮ Uniformly Stable Explicitly Solvable Finite Difference Method for Fractional Diffusion Equations

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