Error in the upwind differencing of the convection-diffusion equation

DOI10.1016/0377-0427(93)E0271-MzbMath0834.65100MaRDI QIDQ1899953

D. F. Mayers, Farhad Ali

Publication date: 31 March 1996

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

zbMATH Keywords

error estimatesconvection-diffusion equationnumerical examplesasymptotic error expansionfirst-order upwind difference schemes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Asymptotic theory of the global error and some techniques of error estimation
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• Inversion of tridiagonal matrices
• A low dispersion and bounded convection scheme
• A diagonally dominant second-order accurate implicit scheme
• Skew upstream differencing schemes for problems involving fluid flow
• On improving an approximate solution of a functional equation by deferred corrections
• A critical evaluation of seven discretization schemes for convection-diffusion equations
• A Variable Order Finite Difference Method for Nonlinear Multipoint Boundary Value Problems
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions

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