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Solving Orthogonal Matrix Differential Systems in Mathematica

Mark Sofroniou
Organization: Wolfram Research, Inc.
Department: Kernel Technology
G. Spaletta
Organization: Bologna University
Department: Mathematics Dept
Journal / Anthology

Lecture Notes in Computer Science
Year: 2002
Volume: 2331 (ICCS '02)
Page range: 496-505

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.

*Mathematics > Calculus and Analysis > Differential Equations

Geometric numerical integration, orthogonal projection, ordinary differential equations, computer algebra systems.