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;2-8zbMath1051.65087OpenAlexW2040713893MaRDI QIDQ4814575

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

numerical examplessuperconvergencefinite difference methodsconvection-diffusion equationsShortley-Weller approximation

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

Convergence of finite difference methods for convection--diffusion problems with singular solutions ⋮ The Shortley-Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions ⋮ The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions ⋮ Superconvergent methods based on cubic splines for solving linear integral equations ⋮ Convergence of consistent and inconsistent finite difference schemes and an acceleration technique

Cites Work

• 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
• Unnamed Item
• Unnamed Item