04630nam 22006135 450 99669166570331620251101120412.09783032096456(electronic bk.)978303209644910.1007/978-3-032-09645-6(MiAaPQ)EBC32384792(Au-PeEL)EBL32384792(CKB)41996886900041(DE-He213)978-3-032-09645-6(EXLCZ)994199688690004120251101d2026 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierComputer Algebra in Scientific Computing 27th International Workshop, CASC 2025, Dubai, United Arab Emirates, November 24–28, 2025, Proceedings /edited by François Boulier, Chenqi Mou, Timur M. Sadykov, Evgenii V. Vorozhtsov1st ed. 2026.Cham :Springer Nature Switzerland :Imprint: Springer,2026.1 online resource (843 pages)Lecture Notes in Computer Science,1611-3349 ;16235Print version: Boulier, François Computer Algebra in Scientific Computing Cham : Springer,c2025 9783032096449 -- A Failure Probability Analysis of a Modular Algorithm to Compute the Monic GCD of Multivariate Polynomials over Algebraic Number Fields Qα. -- 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.This book constitutes the refereed proceedings of the 27th International Workshop on Computer Algebra in Scientific Computing, CASC 2025, which took place in Dubai, United Arab Emirates, during November 24–28, 2025. The 22 full papers and included in this book were carefully reviewed and selected from 36 submissions. They focus on all aspects of computer algebra, symbolic computation, scientific computing, and related fields, alongside the country’s strategic focus on advancing research and establishing itself as a regional hub and global leader in scientific computing.Lecture Notes in Computer Science,1611-3349 ;16235Artificial intelligenceComputer scienceMathematicsComputer networksAlgorithmsArtificial IntelligenceMathematics of ComputingComputer Communication NetworksDesign and Analysis of AlgorithmsArtificial intelligence.Computer scienceMathematics.Computer networks.Algorithms.Artificial Intelligence.Mathematics of Computing.Computer Communication Networks.Design and Analysis of Algorithms.006.3Boulier François954481MiAaPQMiAaPQMiAaPQ996691665703316Computer algebra in scientific computing2158879UNISA