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Finite difference methods for ordinary boundary value problems

Keller, Herbert B. (1976) Finite difference methods for ordinary boundary value problems. In: Computing Methods in Applied Sciences. Lecture Notes in Physics. No.58. Springer , Berlin, pp. 530-543. ISBN 978-3-540-08003-9. https://resolver.caltech.edu/CaltechAUTHORS:20180829-073948869

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Abstract

Finite difference methods have been shown to be extremely effective in the accurate and efficient solution of very general nonlinear two point boundary value problems. As with all practical numerical methods their development is tied very closely to the theoretical understanding of the procedures in question. Not surprisingly then there has been much current work on the theory of difference methods for two point problems. We shall recapitulate some of this theory here and also discuss some of the practical aspects in developing standard computer codes for such problems.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/BFb0120607DOIArticle
Additional Information:© 1976 Springer-Verlag. This work was supported by the ERDA under Contract AT(04-3-767) Proj. Agr.12.
Funders:
Funding AgencyGrant Number
Atomic Energy CommissionAT(04-3-767)
Subject Keywords:Difference Scheme; Finite Difference Method; Step Scheme; Fundamental Solution Matrix; Error Expansion
Series Name:Lecture Notes in Physics
Issue or Number:58
Record Number:CaltechAUTHORS:20180829-073948869
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180829-073948869
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89268
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Aug 2018 16:39
Last Modified:03 Oct 2019 20:14

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