scientific article

zbMath1240.65369MaRDI QIDQ3016675

Yaming Chen, Huajun Zhu, Yi-Fa Tang, Songhe Song

Publication date: 19 July 2011

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite volume methodnumerical examplescentral difference schememulti-symplectic schemesymplectic schemetwo-dimensional nonlinear Schrödinger equationimplicit Euler-centered scheme

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

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