A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation
DOI10.4208/aamm.OA-2017-0222zbMath1488.65450OpenAlexW2918154704MaRDI QIDQ5156605
Zhenguo Mu, Wenjun Cai, Yu Shun Wang, Hao-chen Li
Publication date: 11 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2017-0222
Galerkin methodsymplectic integratorHamiltonian PDEsnonlinear Schrödinger equation in two dimensionsStrang splitting method
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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