Software

• Review of Symbolic Software for Lie Symmetry Analysis
  Mathematical and Computer Modelling Vol. 25 (8/9), pp. 115-132, 1997.
  Special Issue on Algorithms for Nonlinear Systems (1997). Author: Willy Hereman.
• ODEtools. A set of Maple routines for the analytical solving of ODEs, using classification, integrating factors, and Lie group symmetry methods. Authors: E.S.Cheb-Terrab et. al.. Centre for Experimental and Constructive Mathematics, Simon Fraser University - Universidade do Estado do Rio de Janeiro. (Textbooks and papers related to methods for ODEs used in Maple 7 dsolve).
• Lie. Program for Lie analysis of differential equations on IBM type PCs.

  Lie

• DESOLV. A Maple program for the determination of Lie symmetries of differential equations. Authors : J.Carminati and K.T.Vu. School of Computing and Mathematics, Deakin University. Geelong, Victoria, Australia.

  DESOLV for Release 4

  DESOLV for Release 5

• symmetry. A Maple package to implement symmetry calculations for DEs. Author: Mark Hickman. University of Canterbury. New Zealand.
• Dimsym. A Reduce program for the determination of symmetries of differential equations. Author: James Sherring. Contributors: Geoff Prince and Michael Jerie. Department of Mathematics, School of Mathematical and Statistical Sciences. La Trobe University. Victoria, Australia.
• diffgrob2, dirmeth and ncdg. Maple packages to simplify overdetermined systems of nonlinear differential equations and calculate the determining equations. Author: E. L. Mansfield. Institute Of Mathematics and Statistics, University of Kent at Canterbury.
• diffalg. Collection of Maple routines to handle systems of polynomial differential equations and inequations. Authors: F. Boulier and E. Hubert. Équipe CalFor. LIFL | Projet CAFE. INRIA Sophia Antipolis.
• Vessiot. Maple package containing commands for all the basic operations of calculus on jet spaces. Formal Geometry and Mathematical Physics research group. Utah State University.
• Standard Form. Maple package implementing the "normal" form algorithm that reduces systems of linear PDEs to a form from which it can obtain structural information about the system. Authors: Gregory J. Reid and Allan D. Wittkopf. Centre for Experimental and Constructive Mathematics, Simon Fraser University. Burnaby, Canada.
• RIF. Maple package for the simplification of overdetermined ODE and PDE systems. It is the successor of the Standard Form. Authors: Gregory J. Reid and Allan D. Wittkopf. Centre for Experimental and Constructive Mathematics, Simon Fraser University. Burnaby, Canada.
• CDiffElim. C program for differential elimination of linear and polynomially nonlinear systems of ODE/PDE. Authors: Gregory J. Reid and Allan D. Wittkopf. Centre for Experimental and Constructive Mathematics, Simon Fraser University. Burnaby, Canada.
• SYMMGRP.MAX. A MACSYMA programm to find the determining equations needed to compute the symmetry group of a given system of differential equations. Authors: B. Champagne and P. Winternitz, Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada; and W. Hereman, Department of Mathematical and Computer Sciences Colorado School of Mines, Golden, Colorado, USA.
• Integrability. A Mathematica package for the computation of invariants and symmetries of evolution equations and lattices. Authors: Unal Goktas and Willy Hereman.

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