Numerical integration methods for the double-bracket flow

被引：8

作者：

Casas, F ^{[1
]}

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 166卷 / 02期

关键词：

double-bracket equation; Magnus expansion; Lie-goup solvers; numerical integrators;

D O I：

10.1016/j.cam.2003.08.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper new methods up to order four based on the Magnus expansion are proposed for the numerical integration of the double-bracket equation. The Magnus series is constructed term-by-term by means of recurrences and a bound on the convergence domain is also provided. The new integrators preserve the most salient qualitative features of the flow and are computationally more efficient than other standard Lie-group solvers, such as the Runge-Kutta-Munthe-Kaas class of algorithms. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：477 / 495

页数：19

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