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A note on uniform in time error estimates for approximations to reaction-diffusion equations

Sanz-Serna, J. M. and Stuart, A. M. (1992) A note on uniform in time error estimates for approximations to reaction-diffusion equations. IMA Journal of Numerical Analysis, 12 (3). pp. 457-462. ISSN 0272-4979. doi:10.1093/imanum/12.3.457. https://resolver.caltech.edu/CaltechAUTHORS:20170612-070148270

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Abstract

The approximation of solutions of reaction-diffusion equations that approach asymptotically stable, hyperbolic equilibria is considered. Near such equilibria trajectories of the equation contract and hence it is possible to seek error estimates that are uniformly valid in time. A technique for the derivation of such estimates is illustrated in the context of an explicit Euler finite-difference scheme.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1093/imanum/12.3.457DOIArticle
https://academic.oup.com/imajna/article-abstract/12/3/457/695050/A-note-on-uniform-in-time-error-estimates-for?redirectedFrom=fulltextPublisherArticle
Additional Information:© 1992 Oxford University Press. Received: 05 November 1990. Revision Received: 17 July 1991. Published: 01 July 1992. The authors have been partially supported by project CICYT PB-86-0313.
Funders:
Funding AgencyGrant Number
Comisión Interministerial de Ciencia y Tecnología (CICYT)PB-86-0313
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Andrew StuartJ20
Issue or Number:3
DOI:10.1093/imanum/12.3.457
Record Number:CaltechAUTHORS:20170612-070148270
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170612-070148270
Official Citation:J. M. SANZ-SERNA, A. M. STUART; A note on uniform in time error estimates for approximations to reaction-diffusion equations. IMA J Numer Anal 1992; 12 (3): 457-462. doi: 10.1093/imanum/12.3.457
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78079
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:12 Jun 2017 16:21
Last Modified:15 Nov 2021 17:36

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