Convergence of finite difference methods for convection–diffusion problems with singular solutions-Reference-Cited by-同舟云学术

Convergence of finite difference methods for convection–diffusion problems with singular solutions

Published:2003-03 Issue:1-2 Volume:152 Page:119-131
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Fang Qing

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference24 articles.

1. Numerical Analysis for Applied Science;Allen III,1998

2. Iterative Solution Methods;Axelsson,1994

3. On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation;Bramble;Numer. Math.,1962

4. A study of monitor functions for two dimensional adaptive mesh generation;Cao;SIAM J. Sci. Comput.,1999

5. Convergence of inconsistent finite difference scheme for Dirichlet problem whose solution has singular derivatives at the boundary;Fang;Information,2001

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The convergence rate for difference approximations to fractional boundary value problems;Journal of Computational and Applied Mathematics;2022-12

2. Local boundary element based a new finite difference representation for Poisson equations;Applied Mathematics and Computation;2011-02

3. A new finite difference representation for Poisson’s equation on R3 from a contour integral;Applied Mathematics and Computation;2010-12

4. Superconvergence of solution derivatives of the Shortley–Weller difference approximation to Poisson's equation with singularities on polygonal domains;Applied Numerical Mathematics;2008-05

5. Superconvergence of Solution Derivatives of the Shortley–Weller Difference Approximation to Elliptic Equations with Singularities Involving the Mixed Type of Boundary Conditions;Numerical Functional Analysis and Optimization;2008-02-18