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Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator - MaRDI portal

Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator (Q629441)

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scientific article; zbMATH DE number 5863111
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Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator
scientific article; zbMATH DE number 5863111

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    Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator (English)
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    9 March 2011
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    A discrete-time orthogonal spline collocation method is presented for the nonlinear Schrödinger equation with wave operator. This scheme is constructed by using an orthogonal spline collocation approach with a finite element method. The conservation, convergence and stability of these methods are analyzed. Many numerical tests are carried out to confirm the theoretical results.
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    orthogonal spline collocation method
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    nonlinear Schrödinger equation
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    wave operator
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    convergence
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    stability
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