Diiman an Object Oriented Matlab Toolbox for Solving Diierential Equations on Manifolds
نویسندگان
چکیده
We describe an object oriented MATLAB toolbox for solving di erential equations on manifolds. The software re ects recent development within the area of geometric integration. Through the use of elements from di erential geometry, in particular Lie groups and homogeneous spaces, coordinate free formulations of numerical integrators are developed. The strict mathematical de nitions 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 Di Man are presented, along with particular examples that illustrate the working of and the theory behind the software package. AMS Subject Classi cation: 65L06, 34A50
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