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Review of symbolic software for the computation of Lie symmetries of differential equations. (English) Zbl 0891.65081

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:

65L05 Numerical methods for initial value problems involving ordinary differential equations
68W30 Symbolic computation and algebraic computation
37C80 Symmetries, equivariant dynamical systems (MSC2010)
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34A34 Nonlinear ordinary differential equations and systems
65Y15 Packaged methods for numerical algorithms
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