Article ID Journal Published Year Pages File Type
4645060 Applied Numerical Mathematics 2015 20 Pages PDF
Abstract

The aim of the present paper is to study the suitability of using exponential methods for the time integration of cubic Schrödinger equation till long times. We center on second-order methods, for which we prove a higher order of accuracy on the main invariants when integrating solitary waves. Some geometric implicit exponential methods are considered as well as some explicit suitably projected ones. The comparison in terms of efficiency is performed.

Related Topics
Physical Sciences and Engineering Mathematics Computational Mathematics
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