Computer Algebra in Scientific Computing

Survey on Generalizations of the Intermediate Value Theorem and Applications (Invited Talk).- On Truncated Series Involved in Exponential-Logarithmic Solutions of Truncated LODEs.- Subresultant Chains Using B´ezout Matrices.- Application of Symbolic-Numerical Modeling Tools for Analysis of Gyroscopic Stabilization of Gyrostat Equilibria.- Computer Science for Continuous Data: Vision, Theory, and Practice of a Computer (Algebra) ANALYSIS System.- Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves.- Symbolic-Numeric Algorithm for Calculations in Geometric Collective Model of Atomic Nuclei.- Analyses and Implementations of Chordality-Preserving Top-Down Algorithms for Triangular Decomposition.- Accelerated Subdivision for Clustering Roots of Polynomials Given by Evaluation Oracles.- On Equilibrium Positions in the Problem of the Motion of a System of Two Bodies in a Uniform Gravity Field.- An Interpolation Algorithm for Computing Dixon Resultants.- Distance Evaluation to the Set of Matrices with Multiple Eigenvalues.- On Boundary Conditions Parametrized by Analytic Functions.- Computing the Integer Hull of Convex Polyhedral Sets.- A Comparison of Algorithms for Proving Positivity of Linearly Recurrent Sequences.- Stability Analysis of Periodic Motion of the Swinging Atwood Machine.- New Heuristic to Choose a Cylindrical Algebraic Decomposition Variable Ordering Motivated by Complexity Analysis.- An Implementation of Parallel Number-Theoretic Transform Using Intel AVX-512 Instructions.- Locating the Closest Singularity in a Polynomial Homotopy.- A General Method of Finding New Symplectic Schemes for Hamiltonian Mechanics.- A Mechanical Method for Isolating Locally Optimal Points of Certain Radical Functions.