Lees, Milton (1962) Alternating Direction Methods for Hyperbolic Differential Equations. Journal of the Society for Industrial and Applied Mathematics, 10 (4). pp. 610-616. ISSN 0368-4245. doi:10.1137/0110046. https://resolver.caltech.edu/CaltechAUTHORS:20140227-131650389
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Abstract
The difference equation (1.1) u_(tt) = u_(xx) + η/k^2u_(xxtt) depending on the nonnegative parameter η, was introduced by von Neumann (cf. [1]) for the numerical solution of boundary value problems for the one-dimensional wave equation ∂^2w/∂t^2 = ∂^2w/∂x^2.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1962 Society for Industrial and Applied Mathematics. Received by the editors August 21, 1961. The work presented in this paper was supported by the AEC Computing and Applied Mathematics Center, Courant Institute of Mathematical Sciences, New York University, under Contract AT(30-1)-1480 with the U. S. Atomic Energy Commission. | |||||||||
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| Issue or Number: | 4 | |||||||||
| DOI: | 10.1137/0110046 | |||||||||
| Record Number: | CaltechAUTHORS:20140227-131650389 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140227-131650389 | |||||||||
| Official Citation: | Alternating Direction Methods for Hyperbolic Differential Equations Lees, M. Journal of the Society for Industrial and Applied Mathematics 1962 10:4, 610-616 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 44038 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 27 Feb 2014 21:42 | |||||||||
| Last Modified: | 10 Nov 2021 16:46 |
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