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 | |||||||||
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| 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. | |||||||||
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| 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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