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Convergence of an energy-preserving scheme for the Zakharov equations in one space dimension

Author: R. T. Glassey
Journal: Math. Comp. 58 (1992), 83-102
MSC: Primary 65M12; Secondary 35Q60
MathSciNet review: 1106968
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Abstract: An energy-preserving, linearly implicit finite difference scheme is presented for approximating solutions to the periodic Cauchy problem for the one-dimensional Zakharov system of two nonlinear partial differential equations. First-order convergence estimates are obtained in a standard "energy" norm in terms of the initial errors and the usual discretization errors.

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Article copyright: © Copyright 1992 American Mathematical Society

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