Software

1. L.D. Poole and W. Hereman, ConservationLawsMD.m : A Mathematica program for the symbolic computation of conservation laws of nonlinear partial differential equations in multiple space variables (2009).
2. W. Hereman, LaxPairLattices.m : A Mathematica program for the symbolic computation of Lax pairs of two-dimensional nonlinear partial difference equation (2007-2009). Joint work with Reinout Quispel and Peter van der Kamp.
3. L.D. Poole and W. Hereman, HomotopyIntegrator.m : A Mathematica program for the application of the homotopy method for (i) integration by parts of expressions involving unspecified functions of one variable and (ii) the inversion of a total divergence involving unspecified functions of two or three independent variables (2009).
4. D. Baldwin and W. Hereman, PDERecursionOperator.m : A Mathematica program for testing the validity of recursion operators for systems of nonlinear partial differential equations (2003, updated: 2009).
5. P.J. Adams and W. Hereman, TransPDEDensityFlux.m: Symbolic computation of conserved densities and fluxes for systems of partial differential equations with transcendental nonlinearities (2002).
6. H. Eklund and W. Hereman, DDEDensityFlux.m: Symbolic computation of conserved densities and fluxes for nonlinear systems of differential-difference equations (2002).
7. J. Blevins, J. Heath, and W. Hereman, PDESolutionTester.m : A Mathematica program for the symbolic verification of exact solutions of nonlinear partial differential equations (2002).
8. D. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R. Martino, and J.C. Miller, PDESpecialSolutions.m : A Mathematica program for the symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for systems of nonlinear partial differential equations (2002, updated: 2009).
9. D. Baldwin, Ü. Göktas, W. Hereman, DDESpecialSolutions.m: A Mathematica program for the symbolic computation of tanh solutions for systems of nonlinear differential-difference equations (2001, updated: 2009). Program with manual are added to Computer Physics Communications Program Library, Queen's University of Belfast, North Ireland (2001, updated: 2009).
10. D. Baldwin and W. Hereman, PainleveTest.m: A Mathematica package for the Painleve test of systems of nonlinear ordinary and partial differential equations (2001, updated: 2009).
11. Ü. Göktas and W. Hereman, InvariantsSymmetries.m: A Mathematica integrability package for the computation of invariants and symmetries (1997, updated: 2009). Package also available at Wolfram Research Library Archive.
12. Ü. Göktas and W. Hereman, diffdens2009.m: A Mathematica program for the symbolic computation of conserved densities for systems of nonlinear differential-difference equations (1997, updated: 2009). The original diffdens.m package was further developed into DDEDensityFlux.m (2002-2007).
13. Ü. Göktas and W. Hereman, condens2009.m: A Mathematica program for the symbolic computation of conserved densities for systems of nonlinear evolution equations (1996). Software package has been improved and updated to run under Mathematica versions 3, 4, and 5 (updated: 2009).
14. Ü. Göktas and W. Hereman, PAINSYS.MAX: A MACSYMA program for the Painleve test of systems of nonlinear ordinary and partial differential equations (1995). Note: Code was designed for the commercial version (Macsyma). No guarantee that the code will work for the public domain version (MAXIMA).]
15. W. Hereman and A. Miller, PAINMATH.M: A Mathematica program for the Painleve test of single nonlinear ordinary and partial differential equations (1995). Obsolete package; replaced by PainleveTest.m (Baldwin and Hereman). Note: Code was designed for the commercial version (Macsyma). No guarantee that the code will work for the public domain version (MAXIMA).
16. W. Hereman and W. Zhuang, HIROTA.MAX: A MACSYMA program for the calculation of soliton solutions via Hirota's method (1991-1995).
    Program and Manual might be added to the MACSYMA Out of Core Library in 1997. Note: Code was designed for the commercial version (Macsyma). No guarantee that the code will work for the public domain version (MAXIMA).
17. W. Hereman and W. Zhuang, hirota.m: A Mathematica program for the calculation of soliton solutions via Hirota's method (1991-1995).
18. B. Champagne, W. Hereman, and P. Winternitz SYMMGRP.MAX: A MACSYMA program for the calculation of Lie point symmetries of large systems of differential equations (1991, updated: 2008).
    Program with manual are added to Computer Physics Communications Program Library, Queen's University of Belfast, North Ireland (1991). Note: Code was designed for the commercial version (Macsyma). No guarantee that the code will work for the public domain version (MAXIMA). August 2009: Symmgrp.max is currently being modified to work under both versions.]
19. W. Hereman and W. Murphy, Trilater.c: The trilateration program.
    Proprietary program in C++ and manual are used in the `Bulldozer Project.' Designed for Thunder Basin Coal Company, Wright, Wyoming (1991).
20. W. Hereman, PAINSING.MAX: A MACSYMA program for the Painleve test.
    Program appeared in Finite Dimensional Integrable Nonlinear Dynamical Systems, Eds.: P.G.L. Leach and W.-H. Steeb, World Scientific, Singapore, 1988.
    The program was featured in the MACSYMA Newsletter, vol. 6, January 1989, MACSYMA Inc., Arlington, Massachusetts (1989). Note: Code was designed for the commercial version (Macsyma). No guarantee that the code will work for the public domain version (MAXIMA).

Last updated: August 6, 2009