Efficiently Implementing Two Methods of the Geometrical Theory of Differential Equations: An Experience in Algorithm and Software Design

A. V. Bocharov and M. L. Bronstein
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A. V. Bocharov: U.S.S.R. Academy of Sciences, Program Systems Institute
M. L. Bronstein: U.S.S.R. Academy of Sciences, Program Systems Institute

A chapter in Symmetries of Partial Differential Equations, 1989, pp 357-380 from Springer

Abstract: Abstract 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.

Keywords: Differential equations; symmetry; conservation law; computer algebra; portability; efficiency; PASCAL; personal computer; geometrical theory. (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-1948-8_12

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DOI: 10.1007/978-94-009-1948-8_12

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