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Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems

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. http://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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1137/0716018DOIUNSPECIFIED
http://locus.siam.org/doi/abs/10.1137/0716018PublisherUNSPECIFIED
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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Funding AgencyGrant Number
Energy Research and Development Administration AT-04-3-767
Record Number:CaltechAUTHORS:20120726-084458239
Persistent URL:http://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: Ruth Sustaita
Deposited On:26 Jul 2012 21:55
Last Modified:26 Dec 2012 15:44

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