Computer Algebra in Scientific Computing

On Polynomial Solutions of Linear Partial Differential and (q-)DifferenceEquations.- An Algebraic Characterization of Rainbow Connectivity.- Application of the Method of Asymptotic Solution to One Multi-Parameter Problem.- A New Algorithm for Long Integer Cube Computation with SomeInsight into Higher Powers.- Lightweight Abstraction for Mathematical Computation in Java.- Calculation of Normal Forms of the Euler-Poisson Equations.- Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem.- Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates.- Comprehensive Involutive Systems.- A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials.- The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka-Volterra System.- Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics Symbolic-Numerical Calculations of.- High-|m| Rydberg States and Decay Rates in Strong Magnetic Fields.- Quasi-stability versus Genericity.- Invariant Theory: Applications and Computations (Invited Talk).- Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems.- On Fulton's Algorithm for Computing Intersection Multiplicities.- A Note on the Space Complexity of Fast D-Finite FunctionEvaluation.- Inversion Modulo Zero-Dimensional Regular Chains.- Sparse Polynomial Powering Using Heaps.- Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems.- Parallel Reduction of Matrices in Gr¨obner Bases Computations.- Real and Complex Polynomial Root-Finding by Means of Eigen-Solving.- Root-Refining for a Polynomial Equation.- PoCaB: A Software Infrastructure to Explore Algebraic Methodsfor Bio-chemical Reaction Networks.- Approximately Singular Systems and Ill-Conditioned Polynomial Systems.- Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier-Stokes Equations.- VerifiableConditions on

Dr. Wolfram Koepf ist im Fachbereich Informatik/Mathematik/Naturwissenschaften der Hochschule für Technik, Wirtschaft und Kultur in Leipzig tätig.