Computer Algebra in Scientific Computing

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16th International Workshop, CASC 2014, Warsaw, Poland, September 8-12,2014.Proceedings, Lecture Notes in Computer Science 8660 – Theoretical Computer Science and General Issues

ISBN: 3319105140
ISBN 13: 9783319105147
Herausgeber: Vladimir P Gerdt/Wolfram Koepf/Werner M Seiler et al
Verlag: Springer Verlag GmbH
Umfang: xiv, 502 S., 73 s/w Illustr., 502 p. 73 illus.
Erscheinungsdatum: 19.08.2014
Auflage: 1/2014
Produktform: Kartoniert
Einband: Kartoniert

This book constitutes the proceedings of the 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014, held in Warsaw, Poland, in September 2014. The 33 full papers presented were carefully reviewed and selected for inclusion in this book. The papers address issues such as Studies in polynomial algebra are represented by contributions devoted to factoring sparse bivariate polynomials using the priority queue, the construction of irreducible polynomials by using the Newton index, real polynomial root finding by means of matrix and polynomial iterations, application of the eigenvalue method with symmetry for solving polynomial systems arising in the vibration analysis of mechanical structures with symmetry properties, application of Gröbner systems for computing the (absolute) reduction number of polynomial ideals, the application of cylindrical algebraic decomposition for solving the quantifier elimination problems, certification of approximate roots of overdetermined and singular polynomial systems via the recovery of an exact rational univariate representation from approximate numerical data, new parallel algorithms for operations on univariate polynomials (multi-point evaluation, interpolation) based on subproduct tree techniques.

Artikelnummer: 7003338 Kategorie:

Beschreibung

This book constitutes the proceedings of the 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014, held in Warsaw, Poland, in September 2014. The 33 full papers presented were carefully reviewed and selected for inclusion in this book. The papers address issues such as Studies in polynomial algebra are represented by contributions devoted to factoring sparse bivariate polynomials using the priority queue, the construction of irreducible polynomials by using the Newton index, real polynomial root finding by means of matrix and polynomial iterations, application of the eigenvalue method with symmetry for solving polynomial systems arising in the vibration analysis of mechanical structures with symmetry properties, application of Gröbner systems for computing the (absolute) reduction number of polynomial ideals, the application of cylindrical algebraic decomposition for solving the quantifier elimination problems, certification of approximate roots of overdetermined and singular polynomial systems via the recovery of an exact rational univariate representation from approximate numerical data, new parallel algorithms for operations on univariate polynomials (multi-point evaluation, interpolation) based on subproduct tree techniques.

Autorenporträt

InhaltsangabeRelation Algebra, RelView, and Plurality Voting.- An Algorithm for Converting Nonlinear Differential Equations to Integral Equations with an Application to Parameter Estimation from Noisy Data.- Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains.- Computing the Topology of an Arrangement of Implicit and Parametric Curves Given by Values.- Finding a Deterministic Generic Position for an Algebraic Space Curve.- Computer Algebra Experimentation.- On the Parallelization of Subproduct Tree Techniques Targeting.- Many-core Architectures.- Deterministically Computing Reduction Numbers of Polynomial Ideals.

Herstellerkennzeichnung:


Springer Verlag GmbH
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69121 Heidelberg
DE

E-Mail: juergen.hartmann@springer.com

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