Skip Navigation

IMA Journal of Numerical Analysis 2004 24(4):635-642; doi:10.1093/imanum/24.4.635
© 2004 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Hundsdorfer, W.
Right arrow Articles by Montijn, C.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

A note on flux limiting for diffusion discretizations

Willem Hundsdorfer1 and Carolynne Montijn1

1 CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands

In this note, a limiting technique is presented to enforce monotonicity for higher-order spatial diffusion discretizations. The aim is to avoid spurious oscillations and to improve the qualitative behaviour on coarse grids. The technique is related to known ones for convection equations, using limiters to bound the numerical fluxes. Applications arise in pattern formation problems for reaction–diffusion equations.

Key Words: diffusion schemes; flux limiting; monotonicity; positivity

Received 19 September 2003. Revised 16 February 2004.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.