Solving Orthogonal Matrix Differential Systems in Mathematica

Authors:
Mark Sofroniou;Giulia Spaletta
Affiliations:
-;-
Venue:
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Year:
2002

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Abstract

A component of a new environment for the numerical solution of ordinary differential equations in Mathematica is outlined. We briefly describe how special purpose integration methods can be constructed to solve structured dynamical systems. In particular we focus on the solution of orthogonal matrix differential systems using projection. Examples are given to illustrate the advantages of a projection scheme over conventional integration methods.