Paper Info
Title
Error Analysis of the Strang Time-Splitting Laguerre-Hermite/Hermite Collocation Methods for the Gross-Pitaevskii Equation.
Abstract
The aim of this paper is to carry out a rigorous error analysis for the Strang splitting Laguerre-Hermite/Hermite collocation methods for the time-dependent Gross-Pitaevskii equation (GPE). We derive error estimates for full discretizations of the three-dimensional GPE with cylindrical symmetry by the Strang splitting Laguerre-Hermite collocation method, and for the d-dimensional GPE by the Strang splitting Hermite collocation method. © 2012 SFoCM.
Year
DOI
Venue
2013
10.1007/s10208-012-9124-x
Foundations of Computational Mathematics
Keywords
Field
DocType
error analysis,gross-pitaevskii equation,laguerre and hermite collocation method,nonlinear schrödinger equation,strang splitting
Strang splitting,Gross–Pitaevskii equation,Mathematical optimization,Laguerre polynomials,Mathematical analysis,Hermite polynomials,Nonlinear Schrödinger equation,Collocation method,Mathematics,Collocation,Pseudo-spectral method
Journal
Volume
Issue
ISSN
13
1
16153383
Citations 
PageRank 
References 
4
0.44
9
Authors
2
Name
Order
Citations
PageRank
Jie Shen112318.62
Zhong-qing Wang214020.28