High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross–Pitaevskii equations-Reference-Cited by-同舟云学术

High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross–Pitaevskii equations

Published:2016-12 Issue: Volume:327 Page:252-269
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Antoine Xavier^ORCID,Besse Christophe,Rispoli Vittorio

Funder

ANR

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference41 articles.

1. Phase diagrams and Thomas–Fermi estimates for spin-orbit-coupled Bose–Einstein condensates under rotation;Aftalion;Phys. Rev. A,2013

2. Observation of Bose–Einstein condensation in a dilute atomic vapor;Anderson;Science,1995

3. Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations;Antoine;Comput. Phys. Commun.,2013

4. GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations I: computation of stationary solutions;Antoine;Comput. Phys. Commun.,2014

5. Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose–Einstein condensates;Antoine;J. Comput. Phys.,2014

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An improved parallel meshless algorithm for two typical 2D/3D nonlinear dynamics equations;Alexandria Engineering Journal;2024-03

2. A fast and accurate coupled meshless algorithm for the 2D/3D Gross–Pitaevskii equations on two GPUs;Computing;2023-07-11

3. Optimal point-wise error estimates of two conservative finite difference schemes for the coupled Gross–Pitaevskii equations with angular momentum rotation terms;Journal of Computational and Applied Mathematics;2023-06

4. Computational wavefunction dynamics in photonic graphene with symmetry breaking;Applied Numerical Mathematics;2023-06

5. A mass‐ and energy‐preserving numerical scheme for solving coupled Gross–Pitaevskii equations in high dimensions;Numerical Methods for Partial Differential Equations;2023-05-24