Computer Algebra in Scientific Computing

On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems.- Computing the Betti Numbers of Arrangements in Practice.- A MAPLE Symbolic-Numeric Program for Solving the 2D-Eigenvalue Problem by a Self-consistent Basis Method.- RelView – An OBDD-Based Computer Algebra System for Relations.- On the Use of Gröbner Bases for Computing the Structure of Finite Abelian Groups.- Normal Forms and Integrability of ODE Systems.- Resultant-Based Methods for Plane Curves Intersection Problems.- Symbolic Calculations in Studying the Stability of Dynamically Symmetric Satellite Motion.- Generation of Orthogonal Grids on Curvilinear Trimmed Regions in Constant Time.- Computer Algebra in Nanosciences: Modeling Electronic States in Quantum Dots.- Cayley-Dixon Resultant Matrices of Multi-univariate Composed Polynomials.- A Descartes Algorithm for Polynomials with Bit-Stream Coefficients.- Real Solving of Bivariate Polynomial Systems.- Nouvelle Cuisine for the Computation of the Annihilating Ideal of f s .- Janet-Like Monomial Division.- Janet-Like Gröbner Bases.- Circulant Digraphs and Monomial Ideals.- Algebraic Topological Analysis of Time-Sequence of Digital Images.- Hilbert Stratification and Parametric Gröbner Bases.- Investigation of the Stability Problem for the Critical Cases of the Newtonian Many-Body Problem.- Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method.- On Some Results of Investigation of Kirchhoff Equations in Case of a Rigid Body Motion in Fluid.- On Compatibility of Discrete Relations.- Construction of Two Level Orthogonal Arrays Via Solutions of Linear Systems.- Counting Techniques Specifying the Existence of Submatrices in Weighing Matrices.- Fast Verification for Respective Eigenvaluesof Symmetric Matrix.- Towards More Accurate Separation Bounds of Empirical Polynomials II.- Compiler-Enforced Memory Semantics in the SACLIB Computer Algebra Library.- Meta-Petro: An Expert System for Training Undergraduates in Metamorphic Rocks Recognition and Classification Using Photomicrographies.- The Diamond Operator – Implementation of Exact Real Algebraic Numbers.- Constructing the Numerical Method for Navier — Stokes Equations Using Computer Algebra System.- Nonlinear Waves in a Rod.- A Symbolic-Numeric Method for Solving Boundary Value Problems of Kirchhoff Rods.- Differential and Difference Equations for Products of Classical Orthogonal Polynomials.- Algorithm of Local Resolution of Singularities of a Space Curve.- Quantifier Elimination for Constraint Logic Programming.- Computation of Full Comprehensive Gröbner Bases.- Recursive Polynomial Remainder Sequence and the Nested Subresultants.- Interdependence Between the Laurent-Series and Elliptic Solutions of Nonintegrable Systems.- Solving Linear Differential Problems with Parameters.- Approximate Solution of the Dirichlet Problem for Elliptic PDE and Its Error Estimate.