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A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator. - MaRDI portal

A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator. (Q1412475)

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scientific article; zbMATH DE number 2008995
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A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator.
scientific article; zbMATH DE number 2008995

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    A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator. (English)
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    25 November 2003
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    An explicit finite difference scheme for the nonlinear Schrödinger equation with a wave operator is presented. Second order convergence in time and space and stability of the scheme is proved. Furthermore is is shown that the scheme which uses four levels satisfies a discrete conservation law.
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    Wave operator
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    Nonlinear Schrödinger equation
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    explicit finite difference scheme
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    Convergence
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    stability
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