Symbolic Computing

G. Baumann, Lie Symmetries of Differential Equations: A Mathematica program to determine Lie--Symmetries. Wolfram Research Inc., Champaign, Illinois, MathSource 0202-622, (1992)

G. Baumann, Application of the generalized symmetry method, in: Proceedings of the International Workshop on Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, Eds: M. Torresi and N. Ibragimov, Kluwer Academic Publisher (1993)

G. Baumann, Generalized Symmetries: A Mathematica program to determine Lie--Bäcklund symmetries. Wolfram Research Inc., Champaign, Illinois, MathSource 0204-680, (1993)

G. Baumann, G. Haager, and T.F. Nonnenmacher, Applications of non-classical symmetries, J. Phys. A: Math. Gen. 27, 6479-6493, (1994)

G. Landhäußer, G. Baumann, and T.F. Nonnenmacher, An algorithm for automatically solving large coupled systems of PDEs, Math. Phys. Rep. 04--1994

G. Haager, G. Baumann, and T.F. Nonnenmacher, An algorithm to determine potential symmetries in Mathematica, J. Symbolic Comp. 20, 179-196, (1995)

G. Baumann, Analytic solutions of determining equations for Lie point symmetries with Mathematica, Math. Phys. Rept. 07-1995

G. Baumann, Solving differential equations with Mathematica, Math. Phys. Rept. 08-1995

G. Baumann, Symmetry Analysis with Mathematica, pp. 367-399, In: Modern Group Analysis VI, Eds. N.H. Imbragimov and F.M. Mahomed, New Age International Limited, Publishers, New Delhi, (1996)

G. Baumann, Symmetry analysis of differential equations with Mathematica, Math. Comp. Mod. 25, 25-37, (1997)

G. Baumann, If Lie had ever known about Mathematica: Method of First Integrals with MathLie, Mathematica in Edu. Res., 7, 15-28, (1998)

G. Baumann, Scientific Astronomer, Phys. Bl.,  54}, 547, (1998)

G. Baumann, MathLie a Program for doing Symmetry Analysis, Math. Comp. Sim., 48, 205-223, (1998)

N. Südland, G. Baumann, and T.F. Nonnenmacher, Open Problem: Who knows about the Aleph-Functions?, Frac. Calc. Appl. Anal. 1, 401-402, (1998)

G. Baumann, Knocking on Leibniz's door: Fractional Calculus, Mathematica in Edu. Res., 8, 58-65, (1999)

G. Baumann, Solutions of Differential Equations with MathLie, In: The new Handbook of Computer Algebra, Eds.: J. Grabmeier, E. Kaltofen, and V. Weispfenning, Springer, (1999)

G. Baumann, Solution of Ordinary Differential Equations with MathLie: Method of Canonical Variables. In: Proceedings of CASC-99, Eds.: V.G. Ghanza, E.M. Mayr, and E.V. Vorozhtsov, Springer, Heidelberg, (1999)

G. Baumann, Fractional Calculus. In: Proceedings of IMS-99, (1999)

G. Baumann, MathLie a Computer Algebra Program for Symmetry Analysis, Proceedings of the III. International Workshop: Lie Theory and its Applications in Physics, Eds.: H.-D. Doebner and V.K. Dobrev, World Scientific, Singapore, (1999)

G. Baumann and W. Witschel, The Second Virial Coefficient for a (2n-n)-Generalized Lennard-Jones Potential in Closed Form, an Analytical and Computer Algebraic Approach, Math. Phys. Rept. 08-1999

G. Baumann, N. Südland, and T.F. Nonnenmacher, Anomalous Relaxation and Diffusion Processes in Complex Systems, Trans. Th. Stat. Phys., 29, 157-171, (2000)

S. Braun und G. Baumann, Anwendung der Computer-Algebra-Simulation, MTZ (2000)

N. Südland, G. Baumann, and T.F. Nonnenmacher, Fractional Diffusion with Power Law Diffusion Coefficient. In: Proceedings of CASC-2001, Eds.: V.G. Ghanza, E.M. Mayr, and E.V. Vorozhtsov, Springer, Heidelberg, (2001)

J. Engelmann and G. Baumann, An Involutive Reduction Method to Find Invariant Solutions for Partial Differential Equations. In: Proceedings of CASC-2001, Eds.: V.G. Ghanza, E.M. Mayr, and E.V. Vorozhtsov, Springer, Heidelberg, (2001)

F. Mertins, S. Braun und G. Baumann, Auslegung von Abgasanlagen mit CALS: Ein integrierter Zugang mit Computer-Algebra-Simulation (CALS), MTZ 1, 30 -36, (2002)

G. Baumann, Fahrzeugsicherheit und die Möglichkeiten von Computer-Algebra-Simulation, preprint  (2002)

J. Engelmann and G. Baumann, Involutive Reductions and Solutions of a Nonlinear Diffusion Equation, submitted (2002)

G. Baumann and M. Mnuk, On Structured Representation of Physical Objets, In: Proceedings of CASC-2002, Eds.: V.G. Ghanza, E.M. Mayr, and E.V. Vorozhtsov, (2002)

2003^© Gerd Baumann


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