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Published December 1962 | Published
Journal Article Open

Alternating Direction Methods for Hyperbolic Differential Equations

Lees, Milton

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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