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 | ||||||
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Additional Information: | © 1976 Springer-Verlag. This work was supported by the ERDA under Contract AT(04-3-767) Proj. Agr.12. | ||||||
Funders: |
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Subject Keywords: | Difference Scheme; Finite Difference Method; Step Scheme; Fundamental Solution Matrix; Error Expansion | ||||||
Series Name: | Lecture Notes in Physics | ||||||
Issue or Number: | 58 | ||||||
DOI: | 10.1007/BFb0120607 | ||||||
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: | 16 Nov 2021 00:34 |
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