A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation
DOI10.3934/jcd.2019018zbMath1434.65207arXiv1902.07925OpenAlexW2992229904MaRDI QIDQ2297868
Tomohiro Sogabe, Tai Nakagawa, Yuto Miyatake, Shao-Liang Zhang
Publication date: 20 February 2020
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.07925
preconditioningpseudo-spectral methodfractional Schrödinger equationenergy-preservationstructure-preservationbi-CGSTAB method
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Path integrals in quantum mechanics (81S40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11)
Related Items (5)
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