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Zbl 0891.65081
Hereman, W.
Review of symbolic software for the computation of Lie symmetries of differential equations. (English)
[J] Euromath Bull. 1, No.2, 45-82 (1994).

Summary: A survey of symbolic programs for the determination of Lie symmetry groups of systems of differential equations is presented. The purpose, methods and algorithms of symmetry analysis are briefly outlined. Examples illustrate the use of the software. Directions for further research and development are indicated.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
68W30 Symbolic computation and algebraic computation
37C80 Symmetries, equivariant dynamical systems
34C20 Transformation of ODE and systems
34A34 Nonlinear ODE and systems, general
65Y15 Packaged methods

Keywords: infinitesimal transformations; symbolic programs; Lie symmetry groups; systems of differential equations; algorithms; software

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Zentralblatt MATH Berlin [Germany]