A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations

DOI10.1016/j.jcp.2014.11.021zbMath1352.65256OpenAlexW2078051923MaRDI QIDQ728880

Yun Yan, Weizhong Dai, Tim Byrnes, Baoling Ma, Frederick Ira III. Moxley

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.11.021

zbMATH Keywords

stabilityfinite-difference time-domain (FDTD) schemedark solitonGross-Pitaevskii equation (GPE)non-equilibrium condensate

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation, Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU, An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations, Optimal error estimates of explicit finite difference schemes for the coupled Gross–Pitaevskii equations

Uses Software

• Gross-Pitaevskii
• AEDU
• GP-SCL
• imagetime1d

Cites Work

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