LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

DOI10.4208/cicp.111211.270712azbMath1373.82080OpenAlexW2059000093MaRDI QIDQ5372127

Linghua Kong, Jialin Hong, Jing-Jing Zhang

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.4208/cicp.111211.270712a

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) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

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An efficient split-step compact finite difference method for the coupled Gross–Pitaevskii equations ⋮ A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates ⋮ An efficient spectral method for computing dynamics of rotating two-component Bose-Einstein condensates via coordinate transformation ⋮ Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks ⋮ A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates ⋮ Identification of vortices in quantum fluids: finite element algorithms and programs ⋮ An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

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