Title of article
A fast algorithm for the solution of the time-independent Gross–Pitaevskii equation
Author/Authors
Choi، نويسنده , , Yung-Sze and Javanainen، نويسنده , , Juha and Koltracht، نويسنده , , Israel and Ko?trun، نويسنده , , Marijan and McKenna، نويسنده , , Patrick J. and Savytska، نويسنده , , Nataliya، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
21
From page
1
To page
21
Abstract
A new efficient numerical method for the solution of the time-independent Gross–Pitaevskii partial differential equation in three spatial variables is introduced. This equation is converted into an equivalent fixed-point form and is discretized using the collocation method at zeros of Legendre polynomials. Numerical comparisons with a state-of-the-art method based on propagating the solution of the time-dependent Gross–Pitaevskii equation in imaginary time are presented.
Keywords
Numerical methods , Non-linear Hamiltonians , Gross–Pitaevskii equation , partial differential equations , ground state
Journal title
Journal of Computational Physics
Serial Year
2003
Journal title
Journal of Computational Physics
Record number
1477563
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