ODEtools swMATH ID: 9257 Software Authors: Cheb-Terrab, E.S.; Duarte, L.G.S.; Da Mota, L.A.C.P. Description: Computer algebra solving of first order ODEs using symmetry methods. A Maple V R.3/4 computer algebra package, ODEtools, for the analytical solving of first-order ordinary differential equations (ODEs) using Lie group symmetry methods is presented. The set of commands includes a first-order ODE solver and routines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant first-order ODE under given symmetries; the determination of the canonical coordinates of the underlying invariant group; and the testing of the returned results. Homepage: http://www.google.de/#sclient=psy&hl=de&source=hp&q=ODEtools Dependencies: Maple Keywords: first-order ordinary differential equations; symbolic computation; computer algebra package; Lie group symmetry methods Related Software: Maple; PDEtools; deal.ii; RKC; MuPAD; Lsolver; FiOrDii; CRACK; SYMMGRP Cited in: 12 Publications all top 5 Cited by 18 Authors 5 da Mota, Luis Antonio Campinho Pereira 5 Duarte, L. G. S. 3 Duarte, S. E. S. 2 Avellar, J. 2 Cheb-Terrab, E. S. 2 Gehrs, Kai Frederik 1 Bradshaw-Hajek, Bronwyn H. 1 Broadbridge, Philip 1 Dridi, Raouf 1 Edwards, Maureen P. 1 Malykh, Mikhail Dmitrievich 1 Michoski, C. E. 1 Pashayi, S. 1 Petitot, Michel 1 Schmitz, Phillip G. 1 Shahmorad, Sedaghat 1 Skea, James E. F. 1 Williams, Graham H. all top 5 Cited in 8 Serials 4 Computer Physics Communications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 Journal of Mathematical Sciences (New York) all top 5 Cited in 9 Fields 10 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 3 Computer science (68-XX) 2 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Citations by Year