Computer Algebra in Scientific Computing CASC 2001 -

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Résumé :
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Sommaire:
Jets. A Maple-Package for Formal Differential Geometry.- Computing Stratifications of Quotients of Finite Groups and an Application to Shape Memory Alloy.- A MuPAD Library for Differential Equation.- Algebraic Identification Algorithm and Application to Dynamical Systems.- Cooperation Between a Dynamic Geometry Environment and a Computer Algebra System for Geometric Discovery.- On the Stability of Steady Motions of a Solar-Sail Satellite.- Application of Computer Algebra for Investigation of a Group Properties of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas.- Mathematica and Nilpotent Lie Superalgebras.- Neighborhoods of an Ordinary Linear Differential Equation.- Invariants of Finite Groups and Involutive Division.- Symbolic Computation and Boundary Conditions for the Wave Equation.- Parametric Systems of Linear Congruences.- Bifurcation Analysis of Low Resonant Case of the Generalized Henon - Heiles System.- An Involutive Reduction Method to Find Invariant Solutions for Partial Differential Equations.- Recurrence Functions and Numerical Characteristics of Graphs.- A New Combinatorial Algorithm for Large Markov Chains.- GROOME - Tool Supported Graphical Object Oriented Modelling for Computer Algebra and Scientific Computing.- Construction of Janet Bases I.Monomial Bases.- Construction of Janet Bases II.Polynomial Bases.- Low-Dimensional Quasi-Filiform Lie Algebras with Great Length.- Algebraic Methods for Sectioning Parametric Surfaces.- The Methods of Computer Algebra and the Arnold-Moser Theorem.- Symbolic Algorithms of Algebraic Perturbation Theory: Hydrogen Atom in the Field of Distant Charge.- Perturbation versus Differentiation Indices.- Employment of the Gr?bner Bases in Analysis of Systems Having Algebraic First Integrals.- Coalgebra Structures on 1-Homological Models for Commutative Differential Graded Algebras.- Conservative Finite Difference Schemes for Cosymmetric Systems.- A Mathematica Solver for Two-Point Singularly-Perturbed Boundary Value Problems.- A New Algorithm for Computing Cohomologies of Lie Superalgebras.- Parallel Computing with Mathematica.- Solution of Systems of Linear Diophantine Equations.- SYMOPT: Symbolic Parametric Mathematical Programming.- Representing Graph Properties by Polynomial Ideals.- Parametric G1-Blending of Several Surfaces.- A Method of Logic Deduction and Verification in KBS Using Positive Integers.- Progressive Long Waves on a Slope (A New Solution to the Euler Equation?).- The Method of Newton Polyhedra for Investigating Singular Positions of Some Mechanisms.- Algebraic Predicates for Empirical Data.- Fractional Driftless Fokker-Planck Equation with Power Law Diffusion Coefficients.- Factorization of Overdetermined Systems of Linear Partial Differential Equations with Finite-Dimensional Solution Space.- Semilinear Motion Planning Among Moving Objects in REDLOG.- Author Index.