DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds

作     者：Engo, K Marthinsen, A Munthe-Kaas, HZ 

作者机构：Univ Bergen Dept Informat N-5020 Bergen Norway NTNU Dept Math Sci N-7491 Trondheim Norway 

出 版 物：《APPLIED NUMERICAL MATHEMATICS》 (应用数值数学)

年 卷 期：2001年第39卷第3-4期

页      面：323-347页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Norwegian research council NFR 

主　　题：geometric integration numerical integration of ordinary differential equations on manifolds numerical analysis Lie groups Lie algebras homogeneous spaces object-oriented programming MATLAB free Lie algebras 

摘      要：We describe an object-oriented MATLAB toolbox for solving differential equations on manifolds. The software reflects recent development within the area of geometric integration. Through the use of elements from differential geometry, in particular Lie groups and homogeneous spaces, coordinate free formulations of numerical integrators are developed. The strict mathematical definitions and results are well suited for implementation in an object-oriented language, and, due to its simplicity, the authors have chosen MATLAB as the working environment. The basic ideas of DiffMan are presented, along with particular examples that illustrate the working of and the theory behind the software package. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.