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Computer Algebra in Scientific Computing [electronic resource] : 12th International Workshop, CASC 2010, Tsakhkadzor, Armenia, September 6-12, 2010. Proceedings / edited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov.

By: Gerdt, Vladimir P [editor.].
Contributor(s): Koepf, Wolfram [editor.] | Mayr, Ernst W [editor.] | Vorozhtsov, Evgenii V [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Computer Science: 6244Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: XIV, 304p. 48 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642152740.Subject(s): Computer science | Computer software | Electronic data processing | Computational complexity | Algebra -- Data processing | Computer graphics | Computer Science | Symbolic and Algebraic Manipulation | Discrete Mathematics in Computer Science | Algorithm Analysis and Problem Complexity | Computer Graphics | Numeric Computing | Arithmetic and Logic StructuresDDC classification: 005.131 Online resources: Click here to access online
Contents:
Construction of Irreducible Polynomials over Finite Fields -- Factorization of Polynomials and GCD Computations for Finding Universal Denominators -- A Role of Symbolic Computations in Beam Physics -- Thomas Decomposition of Algebraic and Differential Systems -- On Multivariate Homogeneous Polynomial Decomposition -- Computing Matrix Representations of Filiform Lie Algebras -- Type Specialization in Aldor -- An Algebraic Implicitization and Specialization of Minimum KL-Divergence Models -- On Sufficient Conditions for Integrability of a Planar System of ODEs Near a Degenerate Stationary Point -- Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models -- On Reduction of Lagrange Systems -- Series Transformations to Improve and Extend Convergence -- Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems -- Generic, Type-Safe and Object Oriented Computer Algebra Software -- Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden -- Fast Generalized Bruhat Decomposition -- Computational Science in Armenia (Invited Talk) -- From Petri Nets to Polynomials: Modeling, Algorithms, and Complexity (Abstract) (Invited Talk) -- Supporting Global Numerical Optimization of Rational Functions by Generic Symbolic Convexity Tests -- Term Cancellations in Computing Floating-Point Gröbner Bases -- One Class of Third-Order Linear ODE’s -- GPGCD, an Iterative Method for Calculating Approximate GCD, for Multiple Univariate Polynomials -- Derivation of Explicit Difference Schemes for Ordinary Differential Equations with the Aid of Lagrange–Burmann Expansions -- Parametric Qualitative Analysis of Ordinary Differential Equations: Computer Algebra Methods for Excluding Oscillations (Extended Abstract) (Invited Talk) -- An Analytical Model for the Probability Characteristics of a Crack Hitting an Encapsulated Self-healing Agent in Concrete -- Extending Clause Learning of SAT Solvers with Boolean Gröbner Bases.
In: Springer eBooksSummary: This book constitutes the refereed proceedings of the 12th International Workshop on Computer Algebra in Scientific Computing, CASC 2010, held in Tsakhadzor, Armenia, in September 2010. The book includes two invited talks and an abstract in addition to 23 full papers.
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Construction of Irreducible Polynomials over Finite Fields -- Factorization of Polynomials and GCD Computations for Finding Universal Denominators -- A Role of Symbolic Computations in Beam Physics -- Thomas Decomposition of Algebraic and Differential Systems -- On Multivariate Homogeneous Polynomial Decomposition -- Computing Matrix Representations of Filiform Lie Algebras -- Type Specialization in Aldor -- An Algebraic Implicitization and Specialization of Minimum KL-Divergence Models -- On Sufficient Conditions for Integrability of a Planar System of ODEs Near a Degenerate Stationary Point -- Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models -- On Reduction of Lagrange Systems -- Series Transformations to Improve and Extend Convergence -- Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems -- Generic, Type-Safe and Object Oriented Computer Algebra Software -- Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden -- Fast Generalized Bruhat Decomposition -- Computational Science in Armenia (Invited Talk) -- From Petri Nets to Polynomials: Modeling, Algorithms, and Complexity (Abstract) (Invited Talk) -- Supporting Global Numerical Optimization of Rational Functions by Generic Symbolic Convexity Tests -- Term Cancellations in Computing Floating-Point Gröbner Bases -- One Class of Third-Order Linear ODE’s -- GPGCD, an Iterative Method for Calculating Approximate GCD, for Multiple Univariate Polynomials -- Derivation of Explicit Difference Schemes for Ordinary Differential Equations with the Aid of Lagrange–Burmann Expansions -- Parametric Qualitative Analysis of Ordinary Differential Equations: Computer Algebra Methods for Excluding Oscillations (Extended Abstract) (Invited Talk) -- An Analytical Model for the Probability Characteristics of a Crack Hitting an Encapsulated Self-healing Agent in Concrete -- Extending Clause Learning of SAT Solvers with Boolean Gröbner Bases.

This book constitutes the refereed proceedings of the 12th International Workshop on Computer Algebra in Scientific Computing, CASC 2010, held in Tsakhadzor, Armenia, in September 2010. The book includes two invited talks and an abstract in addition to 23 full papers.

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