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Solving Orthogonal Matrix Differential Systems in Mathematica
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| Organization: | Wolfram Research, Inc. |
| Department: | Kernel Technology |
| Organization: | Bologna University |
| Department: | Mathematics Dept |
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| Lecture Notes in Computer Science |
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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.
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Geometric numerical integration, orthogonal projection, ordinary differential equations, computer algebra systems.
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