Superconvergence of finite difference approximations for convection-diffusion problems

DOI<99::AID-NLA233>3.0.CO;2-8 10.1002/1099-1506(200103)8:2<99::AID-NLA233>3.0.CO;2-8zbMath1051.65088OpenAlexW2040713893MaRDI QIDQ4814586

Tetsuro Yamamoto, Qing Fang

Publication date: 7 September 2004

Full work available at URL: https://doi.org/10.1002/1099-1506(200103)8:2<99::aid-nla233>3.0.co;2-8

zbMATH Keywords

finite difference methodconvection-diffusion equationsuperconvergence\(M\)-matricesShortley-Weller approximationdiagonally dominant \(L\)-matrices

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions

Cites Work

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• Superconvergence of the Shortley-Weller approximation for Dirichlet problems
• On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
• SUPERCONVERGENCE AND NONSUPERCONVERGENCE OF THE SHORTLEY-WELLER APPROXIMATIONS FOR DIRICHLET PROBLEMS
• Convergence of swartztrauber-sweets approximation for the poisson-type equation on a disk
• Matrix Iterative Analysis

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