Methods for the numerical solution of the nonlinear Schroedinger equation

Author:
J. M. Sanz-Serna

Journal:
Math. Comp. **43** (1984), 21-27

MSC:
Primary 65M10

DOI:
https://doi.org/10.1090/S0025-5718-1984-0744922-X

MathSciNet review:
744922

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Abstract: Optimal rates of convergence are established for several fully-discrete schemes for the numerical solution of the nonlinear Schroedinger equation. Both finite differences and finite elements are considered for the discretization in space, while the integration in time is treated either by the leap-frog technique or by a modified Crank-Nicolson procedure, which generalizes the one suggested by Delfour, Fortin and Payne and possesses two useful conserved quantities.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1984-0744922-X

Article copyright:
© Copyright 1984
American Mathematical Society