SYMMGRP swMATH ID: 1066 Software Authors: Hereman, Willy; B. Champagne; P. Winternitz Description: SYMMGRP.MAX and other symbolic programs for Lie symmetry analysis of partial differential equations symmgrp.max: A Macsyma program for the calculation of Lie point symmetries of large systems of differential equations (2006). The package symmgrp.max, which is an updated version of the code written in 1991, works only under Macsyma, the commercial computer algebra system. The 1991 version of symmgrp.max (with manual) is still available at the Computer Physics Communications Program Library, Queen’s University of Belfast, North Ireland (1991). Homepage: http://inside.mines.edu/~whereman/software.html Dependencies: Macsyma Related Software: Maple; SYMMGRP.MAX; LIE; diffgrob2; DIMSYM; Mathematica; LIEPDE; CRACK; REDUCE; MACSYMA; GeM; SPDE; DESOLV; DESOLVII; SYM; PDEtools; ConLaw; HIROTA.MAX; ApplySym; MathLie Cited in: 120 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year SYMMGRP.MAX and other symbolic programs for Lie symmetry analysis of partial differential equations. Zbl 0875.68565Hereman, Willy 1993 all top 5 Cited by 154 Authors 13 Wazwaz, Abdul-Majid Abdul-Rahman 12 Clarkson, Peter A. 7 Hereman, Willy A. 7 Mansfield, Elizabeth Louise 5 Bîlă, Nicoleta Virginia 5 Carminati, John 4 Oliveri, Francesco 3 Bluman, George W. 3 Broadbridge, Philip 3 Chaolu, Temuer 3 Cheviakov, Alexei F. 3 Govinder, Keshlan Sathasiva 3 Jefferson, G. F. 3 Leach, Peter Gavin Lawrence 3 Reid, Gregory John 3 Sinkala, Winter 2 Baumann, Gerd 2 Boulton, Alan 2 Cheb-Terrab, Edgardo S. 2 Cicogna, Giampaolo 2 Edelstein, Rochelle M. 2 Li, Bangqing 2 Li, Min 2 Lisle, Ian G. 2 Ma, Yulan 2 Niesen, Jitse 2 Popovych, Roman O. 2 Priestley, Thomas J. 2 Schwarz, Fritz 2 Sophocleous, Christodoulos 2 Tian, Bo 2 Vorob’ev, Evgenii M. 2 Weber, Andreas Günter 2 Wittkopf, Allan D. 2 Zhang, Zhiyong 1 Ali, Sajid 1 Aligoli, M. 1 Arrigo, Daniel J. 1 Barco, M. A. 1 Bassom, Andrew P. 1 Bihlo, Alexander 1 Bilige, Sudao 1 Bonasia, J. 1 Brand, Andreas 1 Bruzón, Maria Santos 1 Butcher, J. 1 Caister, Nicolette C. 1 Ceccherini, Francesco 1 Chaisi, M. 1 Cheng, Yi 1 da Mota, Luis Antonio Campinho Pereira 1 Devi, A. Durga 1 Di Salvo, Rosa 1 Donato, Andrea 1 Doran-Wu, Patrick 1 Duarte, L. G. S. 1 El Kahoui, M’hammed 1 Eslami, Mostafa 1 Farooq, Muhammad Umar 1 Fu, Jingzhi 1 Fu, Yingying 1 Gaeta, Giuseppe 1 Gandarias Núñez, Maria Luz 1 Gao, Feng 1 Gerdt, Vladimir Petrovich 1 Gerdzhikov, Vladimir Stefanov 1 Goard, Joanna M. 1 Göktaş, Ünal 1 Gorgone, Matteo 1 Gouveia, Paulo D. F. 1 Gragert, Peter K. H. 1 Grundland, Alfred Michel 1 Hamdouni, Aziz 1 Harris, Shirley Elizabeth 1 Harrison, B. Kent 1 Head, A. K. 1 Hossain, Zahid 1 Hosseini, Kamyar 1 Huang, Qing 1 Huang, S.-L. Tracy 1 Huard, Benoit 1 Ivanova, Nataliya M. 1 Jing, Pang 1 Johnpillai, Andrew Gratien 1 Kamran, Fakhar 1 Kanna, Thambithurai 1 Kersten, Paul H. M. 1 King, John Robert 1 Kontogiorgis, Stavros 1 Kostov, Nikolay A. 1 Kostova, Zoia 1 Krasil’shchik, Iosif Semënovich 1 Lakshmanan, Muthusamy 1 Lemaire, François 1 Li, Desheng 1 Li, Zhibin 1 Lin, Ping 1 Liu, Jianguo 1 Liu, Li-Cai 1 Liu, Wenjun J. ...and 54 more Authors all top 5 Cited in 52 Serials 20 Applied Mathematics and Computation 7 Computer Physics Communications 7 Mathematical and Computer Modelling 5 Mathematics and Computers in Simulation 4 Journal of Mathematical Analysis and Applications 4 Acta Applicandae Mathematicae 4 Journal of Symbolic Computation 3 Journal of Engineering Mathematics 3 Chaos, Solitons and Fractals 3 Studies in Applied Mathematics 3 Nonlinear Dynamics 3 Journal of Nonlinear Mathematical Physics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Mathematical Methods in the Applied Sciences 2 European Journal of Applied Mathematics 2 Journal of Nonlinear Mathematical Physics 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Physics A: Mathematical and Theoretical 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physica A 1 Physics Letters. A 1 Physics Reports 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Transport Theory and Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theoretical and Computational Fluid Dynamics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Note di Matematica 1 Physica D 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Applicable Algebra in Engineering, Communication and Computing 1 Euromath Bulletin 1 Journal of Lie Theory 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Engineering Computations 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Foundations of Computational Mathematics 1 International Journal of Pure and Applied Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Mathematics in Computer Science 1 Mathematical Modelling of Natural Phenomena 1 Symmetry all top 5 Cited in 26 Fields 85 Partial differential equations (35-XX) 28 Computer science (68-XX) 27 Ordinary differential equations (34-XX) 23 Dynamical systems and ergodic theory (37-XX) 23 Numerical analysis (65-XX) 19 Global analysis, analysis on manifolds (58-XX) 10 Fluid mechanics (76-XX) 8 Topological groups, Lie groups (22-XX) 5 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Nonassociative rings and algebras (17-XX) 3 Differential geometry (53-XX) 2 Commutative algebra (13-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year