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Size Reduction and Partial Decoupling of Systems of Equations

✍ Scribed by Thomas Wolf

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
281 KB
Volume
33
Category
Article
ISSN
0747-7171

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✦ Synopsis

A method is presented that reduces the number of terms of systems of linear equations (algebraic, ordinary and partial differential equations). As a byproduct these systems have a tendency to become partially decoupled and are more likely to be factorizable or integrable. A variation of this method is applicable to nonlinear systems. Modifications to improve efficiency are given and examples are shown. This procedure can be used in connection with the computation of the radical of a differential ideal (differential GrΓΆbner basis).

πŸ“œ SIMILAR VOLUMES

Invariant Modules and the Reduction of N
Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems
✍ Niky Kamran; Robert Milson; Peter J. Olver πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 228 KB

We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant subspace leads to a reduction of the associated dynamical partial differential equations to a system of ordinary differen