A kind of characteristic-splitting method for convection-dominated parabolic equations*

DOI10.1080/00207169908804814zbMath0930.65092OpenAlexW2054661682MaRDI QIDQ4254657

Hong-Xing Rui

Publication date: 1 February 2000

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

Full work available at URL: https://doi.org/10.1080/00207169908804814

zbMATH Keywords

stabilitymaximum principleconvergencenumerical exampleerror estimatesparallel computationsplitting methodcharacteristicconvection diffusion equationADI methodtime stepping

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids ⋮ Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation ⋮ Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids

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