Computing Reviews
Today's Issue Hot Topics Search Browse Recommended My Account Log In
Review Help
Search
Uniform pointwise convergence of finite difference schemes using grid equidistribution
Linß T. Computing66 (1):27-39,2001.Type:Article
Date Reviewed: Jun 1 2001

The issue addressed in this paper is resolving the boundary layer in a model convection-diffusion ordinary differential equation boundary value problem involving a small parameter &egr;. The finite difference discretization procedure uses a nonuniform grid designed to achieve convergence uniform in &egr;. The paper relies heavily on extensive prior literature, cited therein. The theoretical formulation presented here unifies and extends previous work. The grid is equidistributed, using a monitor function based on a priori or a posteriori information about the solution, and Linß shows that the theory applies. Numerical examples are provided that exhibit uniform convergence as &egr; decreases, using a discrete adaptive method, but the adaptation is not designed to control the error per se.

Reviewer:  Donald G. M. Anderson Review #: CR125199
Bookmark and Share
 
Boundary Value Problems (G.1.7 ... )
 
 
Finite Difference Methods (G.1.7 ... )
 
Would you recommend this review?
yes
no
Other reviews under "Boundary Value Problems": Date
Computer-assisted existence proofs for two-point boundary value problems
Plum M. Computing 46(1): 19-34, 1991. Type: Article
Apr 1 1992
On parallel methods for boundary value ODEs
Ascher U., Chan S. Computing 46(1): 1-17, 1991. Type: Article
Aug 1 1991
Singular perturbation methods for ordinary differential equations
Robert E. J. (ed), Springer-Verlag New York, Inc., New York, NY, 1991. Type: Book (9780387975566)
Aug 1 1992
more...

E-Mail This Printer-Friendly
Send Your Comments
Contact Us
Reproduction in whole or in part without permission is prohibited.   Copyright 1999-2024 ThinkLoud®
Terms of Use
| Privacy Policy