Computer Algebra in Scientific Computing

.- A Failure Probability Analysis of a Modular Algorithm to Compute the Monic GCD of Multivariate Polynomials over Algebraic Number Fields Qa.

.- Second-Order Parameterizations for the Complexity Theory of Integrable Functions.

.- Ordered Fields and Grzegorczyk's Hierarchy.

.- Computation of Stirling Numbers for Complex Arguments.

.- High Performance Gr¨obner Basis Computations in Free Algebras.

.- Projective Plane Subdivision Method For Initial Orbit Determination.

.- On Stationary Motions in the Generalized Problem of the Chaplygin Ball.

.- Effective Hilbert's Irreducibility Theorem for Primary Ideals.

.- Advanced Symbolic Integration of Products of the Fox H-Functions.

.- Computing Linear Regions in Neural Networks with Skip Connections.

.- A Hybrid Approach to Speeding up Schoof's Algorithm on Supersingular Elliptic Curves.

.- Symbolic-Numerical Algorithms for Solving Multidimensional Boundary Value Problems by Finite Element Method on Hypercubes.

.- A New Black Box GCD Algorithm using Hensel Lifting.

.- Lower Bounds of Costs of 3-isogenies Formulas in the Framework of Generalized Montgomery Coordinates.

.- Support Bound for Differential Elimination in Polynomial Dynamical Systems.

.- Software Portability for Computer Algebra.

.- An Effective Trajectory Planning and an Optimized Path Planning for a 6-Degree-of-Freedom Robot Manipulator.
.- I nverse Kinematics for a 6-Degree-of-Freedom Robot Manipulator Using Comprehensive Gr¨obner Systems.

.- Choosing Variable Orderings Based on Elimination Tree for Sparse Triangular Decomposition.

.- Parallel Computation of the Power Series Solutions to Linear Ordinary Differential Equation.

.- Subresultant of Bernstein Polynomials and its Application in Computing the Parametric Greatest Common Divisor.

.- Hankel Polynomials and Their Zeros.