Computer Algebra in Scientific Computing 22nd International Workshop CASC 2020 Linz Austria September 14 18 2020 Proceedings 1st edition by François Boulier, Matthew England, Timur Sadykov, Evgenii Vorozhtsov 3030600266 9783030600266

Computer Algebra in Scientific Computing 22nd International Workshop CASC 2020 Linz Austria September 14 18 2020 Proceedings 1st edition by François Boulier, Matthew England, Timur M. Sadykov, Evgenii V. Vorozhtsov – Ebook PDF Instant Download/DeliveryISBN:  3030600266, 9783030600266 

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ISBN-10 :  3030600266 

ISBN-13 :  9783030600266

Author:  François Boulier, Matthew England, Timur M. Sadykov, Evgenii V. Vorozhtsov 

This 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.

Computer Algebra in Scientific Computing 22nd International Workshop CASC 2020 Linz Austria September 14 18 2020 Proceedings 1st Table of contents:

1. Tropical Geometry of Biological Systems (Invited Talk)
2. Algebraic and Geometric Analysis of Singularities of Implicit Differential Equations (Invited Talk)
3. On the Complexity of Computing Integral Bases of Function Fields
4. Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations
5. On Periodic Approximate Solutions of the Three-Body Problem Found by Conservative Difference Schemes
6. Univariate Polynomials with Long Unbalanced Coefficients as Bivariate Balanced Ones: A Toom–Cook Multiplication Approach
7. Power Series Arithmetic with the BPAS Library
8. Enhancements to Lazard’s Method for Cylindrical Algebraic Decomposition
9. The Complexity and Parallel Implementation of Two Sparse Multivariate Hensel Lifting Algorithms for Polynomial Factorization
10. The GPGCD Algorithm with the Bézout Matrix
11. On Parametric Linear System Solving
12. Symbolic-Numeric Algorithm for Computing Orthonormal Basis of Group
13. Symbolic-Numeric Study of Geometric Properties of Adiabatic Waveguide Modes
14. Intrinsic Complexity for Constructing Zero-Dimensional Gröbner Bases
15. On the Study of the Motion of a System of Two Connected Rigid Bodies by Computer Algebra Methods
16. Complexity Estimates for Fourier-Motzkin Elimination
17. Progress Report on the Scala Algebra System
18. Routh – Hurwitz Stability of a Polynomial Matrix Family. Real Perturbations
19. Hermite Rational Function Interpolation with Error Correction
20. Good Pivots for Small Sparse Matrices
21. Nullstellensatz-Proofs for Multiplier Verification
22. “Mathemachines” via LEGO, GeoGebra and CindyJS
23. Balanced NUCOMP
24. Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order
25. Faster Numerical Univariate Polynomial Root-Finding by Means of Subdivision Iterations
26. Computing Parametric Standard Bases for Semi-weighted Homogeneous Isolated Hypersurface Singularities
27. Acceleration of Subdivision Root-Finding for Sparse Polynomials
28. Analytical Computations in Studying Translational-Rotational Motion of a Non-stationary Triaxial Body in the Central Gravitational Field
29. A Linear Algebra Approach for Detecting Binomiality of Steady State Ideals of Reversible Chemical Reaction Networks
30. First-Order Tests for Toricity
31. Looking for Compatible Routes in the Railway Interlocking System of an Overtaking Station Using a Computer Algebra System
32. Computing Logarithmic Vector Fields Along an ICIS Germ via Matlis Duality
33. Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers
34. 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
35. Comparative Study of the Accuracy of Higher-Order Difference Schemes for Molecular Dynamics Problems Using the Computer Algebra Means
36. Characterizing Triviality of the Exponent Lattice of a Polynomial Through Galois and Galois-Like Grou

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Tags: Computer Algebra, Scientific Computing, International Workshop, Austria September, Proceedings, François Boulier, Matthew England, Timur Sadykov, Evgenii Vorozhtsov