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Efficiently implementing two methods of the geometrical theory of differential equations: An experience in algorithm and software design

✍ Scribed by A. V. Bocharov; M. L. Bronstein


Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
951 KB
Volume
16
Category
Article
ISSN
0167-8019

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✦ Synopsis


This paper contains an analysis of the two computational schemes for finding the infinitesimal symmetries and conservation laws of arbitrary systems of differential equations. The design of efficient algorithms implementing these computational schemes is described, together with the design of a portable software system, SCoLAr, supporting these algorithms. A test run is listed in the Appendix and the prospect of using the SCoLAr program on middle class personal computers is discussed.