Superconvergence and nonsuperconvergence of the shortley-weller approximations for dirichlet problems

Numerical Functional Analysis and Optimization

Volumn 22, Issue 3-4, 2001, Pages 455-470

  Yamamoto, Tetsuro ^a   Fang, Qing ^a   Chen, Xiaojun ^b  

^a EHIME UNIVERSITY   (Japan)

^b SHIMANE UNIVERSITY   (Japan)

Author keywords

Dirichlet problems; Finite difference methods; Shortley Weller approximation; Superconvergence

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS;

DIRICHLET PROBLEMS; NONSUPERCONVERGENCE; SHORTLEY WELLEY APPROXIMATION; SUPERCONVERGENCE;

APPROXIMATION THEORY;

EID: 0035327016     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-100105113     Document Type: Article

References (9)

1. On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
2. Smoothing Newton methods for nonsmooth Dirichlet problems
3. Remarks on the order of convergence in the discrete Dirichlet problem
4. Comparison of three finite difference approximations for Dirichlet problems
5. Superconvergence of the Shortley-Weller approximation for Dirichlet problems
6. On the accuracy of finite difference solution for Dirichlet problems
7. Inversion of band matrix