An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT
Author:
Funder
ANR
Natural Science Foundation of China
NSF
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Reference33 articles.
1. Schrödinger operators with magnetic fields. I. General interactions;Avron;Duke Math. J.,1978
2. Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT;Bao;J. Comput. Phys.,2015
3. Time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime;Bao;J. Comput. Phys.,2002
4. Numerical studies of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regime;Bao;SIAM J. Sci. Comput.,2003
5. Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose–Einstein condensates via the nonuniform FFT;Bao;Commun. Comput. Phys.,2016
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