Computer Algebra in Scientific Computing

Fast Matrix Computation of Subresultant Polynomial Remainder Sequences.- About Simultaneous Representation of Two Natural Numbers by a Sum of Three Primes.- On a Description of Irreducible Component in the Set of Nilpotent Leibniz Algebras Containing the Algebra of Maximal Nilindex, and Classification of Graded Filiform Leibniz Algebras.- Application of Computer Algebra in Problems on Stabilization of Gyroscopic Systems.- Implementing Computational Services Based on OpenMath.- Group Classification of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas.- Plotting Functions and Singularities with Maple and Java on a Component-based Web Architecture.- Stable Self-Oscillatory Regimes in Volterra Models of Three Populations.- Computing “Small” 1-Homological Models for Commutative Differential Graded Algebras.- Effective computation of algebra of derivations of Lie algebras.- An Integration and Reduction for Ordinary Non Linear Differential Equations Library.- Complexity of Derivatives Generated by Symbolic Differentiation.- An Assessment of the Efficiency of Computer Algebra Systems in the Solution of Scientific Computing Problems.- On the Relation Between Pommaret and Janet Bases.- An (Asymptotic) Error Bound for the Evaluation of Polynomials at Roots.- Three Remarks on Comprehensive Gröbner and SAGBI Bases.- Computing the Cylindrical Algebraic Decomposition Adapted to a Set of Equalities.- Symbolic Algorithms of Algebraic Perturbation Theory for a Hydrogen Atom: the Stark Effect.- CADECOM: Computer Algebra software for functional DECOMposition.- Computeralgebra and the Systematic Construction of Finite Unlabeled Structures.- Heat Invariant E2 for Nonminimal Operator on Manifolds with Torsion.- Computer Algebra for Automated Performance Modeling of Fortran Programs.- A Parallel Symbolic-Numerical Approach to Algebraic Curve Plotting.- Parametric Analysis for a Nonlinear System.- Extended Splicing System and Semigroup of Dominoes.- Newton Polyhedra and the Reversible System of Ordinary Differential Equations.- Condition Analysis of Overdetermined Algebraic Problems.- An Algebraic Approach to Offsetting and Blending of Solids.- Application of Computer Algebra Methods to Some Problems of Theoretical and Applied Celestial Mechanics.- Computing the Frobenius Normal Form of a Sparse Matrix.- Lessons Learned from Using CORBA for Components in Scientific Computing.- Deciding Linear-Transcendental Problems.- Author Index.