## Computer Algebra in Scientific Computing: CASC '99 : Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, Munich, May 31-June 4, 1999Victor Grigorʹevich Ganzha, Ernst Mayr, Evgenii Vasilʹevich Vorozhtsov This book contains papers submitted by the participants of the workshop on Computer Algebra in Scientific Computing CASC '99, as well as two invited papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. Moreover, applications of computer algebra methods for the solution of current problems in group theory are treated, which mostly arise in mathematical physics. Another important trend which may be seen from the present collection of papers is the application of computer algebra methods to the development of new efficient analytic and numerical solvers, both for ordinary and partial differential equations. Some papers deal with algorithmic and software aspects associated with the implementation of computer algebra methods, or study the stability of satellite and mechanical systems, or the application of computer algebra to the solution of problems in technology. |

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### Contents

Solution of Ordinary Differential Equations with MathLie | 1 |

Analysis of Stability of Rational Approximations through | 25 |

About Normal Form Method | 51 |

Copyright | |

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algorithm analysis applied approximate arbitrary association scheme BGNF bifurcation calculate canonical variables Cauchy-like cocycles coefficients cohomology completion computer algebra system consider constraints construction convergence coordinates corresponding curve decomposition defined Definition denote derivatives differential algebraic equations domain eigenvalues elements evaluation example finite formula Fortran given Grobner basis Hamiltonian ideal implementation input integral inverse involutive division iterators Lemma Maple Math Mathematica mathematical matrix method monomial set multiplicative multivariate polynomial nonlinear nonmultiplicative normal form numerical obtain ODEs operator ordinary differential equations package parameters partial differential equations PDEs perturbation Poisson brackets Pommaret prime ideal problem prolongation Proof pseudozero quantifier elimination rank rational functions relations representation roots server simplicial set simplification solution solving stability step subgroup submodule SYDNA Symbolic Computation symmetry Taylor series techniques Theorem theory tion transformation univariate values vector zero