Computer Algebra in Scientific Computing

Computing GCDs of Multivariate Polynomials over Algebraic Number Fields Presented with Multiple Extensions.- Generating Elementary Integrable Expressions.- How to Automatise Proofs of Operator Statements: Moore-Penrose Inverse a Case Study.- A Modular Algorithm for Computing the Intersection of a One-Dimensional Quasi-Component and a Hypersurface.- Certified Study of Internal Solitary Waves.- Root-Squaring for Root-Finding.- Symbolic-Numerical Algorithm for Solving the Problem of Heavy Ion Collisions in an Optical Model with a Complex Potential.- On the Complexity of Linear Algebra Operations over Algebraic Extension Fields.- Range Functions of Any Convergence Order and their Amortized Complexity Analysis.- Stability and Zero-Hopf Bifurcation Analysis of the Lorenz-Stenflo System Using Symbolic Methods.- Non-Principal Branches of Lambert W. A Tale of 2 circles.- On the Qualitative Analysis of the Equations of Motion of a Nonholonomic Mechanical System.- Solving Parametric Linear Systems Using Sparse Rational Function Interpolation.- On the Distance to the Nearest Defective Matrix.- Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals.- On the Structure and Generators of Differential Invariant Algebras.- An Algorithm for the Intersection Problem of Planar Parametric Curves.- A Symbolic-numeric Method for Solving the Poisson Equation in Polar Coordinates.- Two Variants of B´ezout Subresultants for Several Univariate Polynomials.- Efficient Quotients of Non-Commutative Polynomials.- Inverse Kinematics and Path Planning of Manipulator Using Real Quantifier Elimination Based on Comprehensive Gröbner Systems.