LEADER 05881nam 22006135 450 001 996418283103316 005 20230330044405.0 010 $a3-030-60026-2 024 7 $a10.1007/978-3-030-60026-6 035 $a(CKB)4100000011513400 035 $a(DE-He213)978-3-030-60026-6 035 $a(MiAaPQ)EBC6380963 035 $a(PPN)254945058 035 $a(EXLCZ)994100000011513400 100 $a20201017d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComputer Algebra in Scientific Computing$b[electronic resource] $e22nd International Workshop, CASC 2020, Linz, Austria, September 14?18, 2020, Proceedings /$fedited by François Boulier, Matthew England, Timur M. Sadykov, Evgenii V. Vorozhtsov 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XVII, 644 p. 96 illus.) 225 1 $aTheoretical Computer Science and General Issues,$x2512-2029 ;$v12291 311 $a3-030-60025-4 327 $aTropical Geometry of Biological Systems (Invited Talk) -- Algebraic and Geometric Analysis of Singularities of Implicit Differential Equations (Invited Talk) -- On the Complexity of Computing Integral Bases of Function Fields -- Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations -- On Periodic Approximate Solutions of the Three-Body Problem Found by Conservative Difference Schemes -- Univariate Polynomials With Long Unbalanced Coefficients as Bivariate Balanced Ones: a Toom?Cook Multiplication Approach -- Power Series Arithmetic with the BPAS Library -- Enhancements to Lazard's Method for Cylindrical Algebraic Decomposition -- The Complexity and Parallel Implementation of two Sparse Multivariate Hensel Lifting Algorithms for Polynomial Factorization -- The GPGCD Algorithm with the Bézout Matrix -- On Parametric Linear System Solving -- Symbolic-Numeric Algorithm for Computing Orthonormal Basis of O(5) ? SU(1,1) Group -- Symbolic-Numeric Study of Geometric Properties of Adiabatic Waveguide Modes -- Intrinsic Complexity for Constructing Zero-Dimensional Gröbner Bases -- On the Study of the Motion of a System of Two Connected Rigid Bodies by Computer Algebra Methods -- Complexity Estimates for Fourier-Motzkin Elimination -- Progress Report on the Scala Algebra System -- Routh ? Hurwitz Stability of a Polynomial Matrix Family. Real Perturbations -- Hermite Rational Function Interpolation with Error Correction -- Good Pivots for Small Sparse Matrices -- Nullstellensatz-Proofs for Multiplier Verification -- "Mathemachines" via LEGO, GeoGebra and CindyJS -- Balanced NUCOMP -- Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order -- Faster Numerical Univariate Polynomial Root-Finding by Means of Subdivision Iterations -- Computing Parametric Standard bases for Semi-weighted Homogeneous Isolated Hypersurface Singularities -- Acceleration of Subdivision Root-Finding for Sparse Polynomials -- Analytical Computations in Studying Translational-Rotational Motion of a Non-Stationary Triaxial Body in the Central Gravitational Field -- A Linear Algebra Approach for Detecting Binomiality of Steady State Ideals of Reversible Chemical Reaction Networks -- First-Order Tests for Toricity -- Looking for Compatible Routes in the Railway Interlocking System of an Overtaking Station Using a Computer Algebra System -- Computing Logarithmic Vector Fields along an ICIS Germ via Matlis Duality -- Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers -- Symbolic-Numeric Computation of the Bernstein Coefficients of a Polynomial from Those of One of Its Partial Derivatives and of the Product of Two Polynomials -- Comparative Study of the Accuracy of Higher-order Difference Schemes for Molecular Dynamics Problems Using the Computer Algebra Means -- Characterizing Triviality of the Exponent Lattice of a Polynomial through Galois and Galois-Like Groups. 330 $aThis book constitutes the refereed proceedings of the 22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020, held in Linz, Austria, in September 2020. The conference was held virtually due to the COVID-19 pandemic. The 34 full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CAS in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics. 410 0$aTheoretical Computer Science and General Issues,$x2512-2029 ;$v12291 606 $aAlgorithms 606 $aComputer science?Mathematics 606 $aArtificial intelligence 606 $aComputer systems 606 $aAlgorithms 606 $aMathematics of Computing 606 $aArtificial Intelligence 606 $aComputer System Implementation 615 0$aAlgorithms. 615 0$aComputer science?Mathematics. 615 0$aArtificial intelligence. 615 0$aComputer systems. 615 14$aAlgorithms. 615 24$aMathematics of Computing. 615 24$aArtificial Intelligence. 615 24$aComputer System Implementation. 676 $a512.00285 700 $aBoulier$b Franc?ois$0954481 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418283103316 996 $aComputer algebra in scientific computing$92158879 997 $aUNISA