Keller, H. B. and Pereyra, V. (1979) Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems. SIAM Journal on Numerical Analysis, 16 (2). pp. 241-259. ISSN 0036-1429. doi:10.1137/0716018. https://resolver.caltech.edu/CaltechAUTHORS:20120726-084458239
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Abstract
Compact as possible difference schemes for systems of nth order equations are developed. Generalizations of the Mehrstellenverfahren and simple theoretically sound implementations of deferred corrections are given. It is shown that higher order systems are more efficiently solved as given rather than as reduced to larger lower order systems. Tables of coefficients to implement these methods are included and have been derived using symbolic computations.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1979 Society for Industrial and Applied Mathematics. Received by the editors August 2, 1977. this work was supported by the Energy Research and Development Administration under Contract AT-04-3-767, Project Agreement 12. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1137/0716018 | |||||||||
| Record Number: | CaltechAUTHORS:20120726-084458239 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120726-084458239 | |||||||||
| Official Citation: | Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems H. B. Keller and V. Pereyra SIAM J. Numer. Anal. 16-2 (1979), pp. 241-259 (19 pages) http://dx.doi.org/10.1137/0716018 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 32736 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 26 Jul 2012 21:55 | |||||||||
| Last Modified: | 09 Nov 2021 21:29 |
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