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Alternating Direction Methods for Hyperbolic Differential Equations

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
Related URLs:
URLURL TypeDescription
http://epubs.siam.org/doi/abs/10.1137/0110046PublisherArticle
http://dx.doi.org/10.1137/0110046DOIArticle
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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Funding AgencyGrant Number
Atomic Energy CommissionAT(30-1)-1480
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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