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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1992-1106968-6
PII: S 0025-5718(1992)1106968-6
Article copyright: © Copyright 1992 American Mathematical Society