A fast algorithm for the solution of the time-independent Gross--Pitaevskii equation

DOI10.1016/S0021-9991(03)00235-3zbMath1027.65157OpenAlexW2076237571MaRDI QIDQ1408415

Marijan Koštrun, Yung-Sze Choi, Israel Koltracht, Patrick J. McKenna, Nataliya Savytska, Juha Javanainen

Publication date: 15 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00235-3

zbMATH Keywords

collocation methodNumerical experimentsfast algorithmGross-Pitaevskii equationnumerical comparisonGround stateNon-linear Hamiltonians

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap ⋮ The Lagrange-mesh method ⋮ A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations ⋮ High accuracy representation of the free propagator ⋮ A continuation BSOR-Lanczos--Galerkin method for positive bound states of a multi-component Bose-Einstein condensate

Cites Work

• Global monotone convergence of Newton iteration for a nonlinear eigen-problem
• Matrix Analysis
• Generalised meshes for quantum mechanical problems
• An alternative numerical method for initial value problems involving the contact nonlinear Hamiltonians
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