Published December 1962 | Version Published
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Alternating Direction Methods for Hyperbolic Differential Equations

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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.

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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Eprint ID
44038
Resolver ID
CaltechAUTHORS:20140227-131650389

Funding

Atomic Energy Commission
AT(30-1)-1480

Dates

Created
2014-02-27
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Updated
2021-11-10
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