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Computer Algebra in Scientific Computing [electronic resource] : 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, Proceedings /

Contributor(s): Material type: TextTextSeries: Theoretical Computer Science and General Issues ; 4770Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007Edition: 1st ed. 2007Description: XIII, 460 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540751878
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 005.131 23
LOC classification:
  • QA76.9.M35
Online resources:
Contents:
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation -- Computations in Modules over Commutative Domains -- Advances on the Continued Fractions Method Using Better Estimations of Positive Root Bounds -- An Efficient LLL Gram Using Buffered Transformations -- On the Computation of A ???-Maps -- Algebraic Visualization of Relations Using RelView -- Comprehensive Triangular Decomposition -- Stability Investigation of a Difference Scheme for Incompressible Navier-Stokes Equations -- A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in the Magnetic Field: Cylindrical Coordinates -- An Algorithm for Construction of Normal Forms -- Computer Algebra: A ‘Classical’ Path to Explore Decoherence and Entanglement Phenomena in Quantum Information Theory -- Deducing the Constraints in the Light-Cone SU(3) Yang-Mills Mechanics Via Gröbner Bases -- On the Weight Spectra of Conway Matrices Related to the Non-transitive Head-or-Tail Game -- Properties of the Liapunov Stability Zones of the Lagrange Triangle -- Studying the Stability of the Second Order Non-autonomous Hamiltonian System -- On the Peculiar Properties of Families of Invariant Manifolds of Conservative Systems -- A Unified Algorithm for Multivariate Analytic Factorization -- On the Computation of the Defining Polynomial of the Algebraic Riccati Equation -- Symmetries and Dynamics of Discrete Systems -- Exact Solutions of Completely Integrable Systems and Linear ODE’s Having Elliptic Function Coefficients -- Dynamics of Nonlinear Parabolic Equations with Cosymmetry -- Weak Integer Quantifier Elimination Beyond the Linear Case -- Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors -- Ruppert Matrix as Subresultant Mapping -- Construction ofComputer System for Microobjects Recognition Based on Neural Networks -- Analytical Solution for Transient Flow of a Generalized Bingham Fluid with Memory in a Movable Tube Using Computer Algebra -- Some Elimination Problems for Matrices -- A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form -- Automatic Stability Analysis for a Diffusion Equation with Memories Using Maple -- Bounds for Real Roots and Applications to Orthogonal Polynomials -- Distance Computation from an Ellipsoid to a Linear or a Quadric Surface in IR n -- Robust Stability for Parametric Linear ODEs -- Symbolic and Algebraic Methods for Linear Partial Differential Operators -- A New Scheme for Deniable/Repudiable Authentication -- An Algebraic-Numeric Algorithm for the Model Selection in Kinetic Networks -- On the Representation of the Differential Operator in Bases of Periodic Coiflets and It’s Application.
In: Springer Nature eBook
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Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation -- Computations in Modules over Commutative Domains -- Advances on the Continued Fractions Method Using Better Estimations of Positive Root Bounds -- An Efficient LLL Gram Using Buffered Transformations -- On the Computation of A ???-Maps -- Algebraic Visualization of Relations Using RelView -- Comprehensive Triangular Decomposition -- Stability Investigation of a Difference Scheme for Incompressible Navier-Stokes Equations -- A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in the Magnetic Field: Cylindrical Coordinates -- An Algorithm for Construction of Normal Forms -- Computer Algebra: A ‘Classical’ Path to Explore Decoherence and Entanglement Phenomena in Quantum Information Theory -- Deducing the Constraints in the Light-Cone SU(3) Yang-Mills Mechanics Via Gröbner Bases -- On the Weight Spectra of Conway Matrices Related to the Non-transitive Head-or-Tail Game -- Properties of the Liapunov Stability Zones of the Lagrange Triangle -- Studying the Stability of the Second Order Non-autonomous Hamiltonian System -- On the Peculiar Properties of Families of Invariant Manifolds of Conservative Systems -- A Unified Algorithm for Multivariate Analytic Factorization -- On the Computation of the Defining Polynomial of the Algebraic Riccati Equation -- Symmetries and Dynamics of Discrete Systems -- Exact Solutions of Completely Integrable Systems and Linear ODE’s Having Elliptic Function Coefficients -- Dynamics of Nonlinear Parabolic Equations with Cosymmetry -- Weak Integer Quantifier Elimination Beyond the Linear Case -- Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors -- Ruppert Matrix as Subresultant Mapping -- Construction ofComputer System for Microobjects Recognition Based on Neural Networks -- Analytical Solution for Transient Flow of a Generalized Bingham Fluid with Memory in a Movable Tube Using Computer Algebra -- Some Elimination Problems for Matrices -- A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form -- Automatic Stability Analysis for a Diffusion Equation with Memories Using Maple -- Bounds for Real Roots and Applications to Orthogonal Polynomials -- Distance Computation from an Ellipsoid to a Linear or a Quadric Surface in IR n -- Robust Stability for Parametric Linear ODEs -- Symbolic and Algebraic Methods for Linear Partial Differential Operators -- A New Scheme for Deniable/Repudiable Authentication -- An Algebraic-Numeric Algorithm for the Model Selection in Kinetic Networks -- On the Representation of the Differential Operator in Bases of Periodic Coiflets and It’s Application.

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