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Computer Algebra in Scientific Computing [electronic resource] : 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, Proceedings / edited by V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov.

Contributor(s): Ganzha, V.G [editor.] | Mayr, E.W [editor.] | Vorozhtsov, E.V [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Theoretical Computer Science and General Issues: 4770Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007Edition: 1st ed. 2007.Description: XIII, 460 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540751878.Subject(s): Computer science -- Mathematics | Computer programming | Discrete mathematics | Algorithms | Symbolic and Algebraic Manipulation | Programming Techniques | Discrete Mathematics in Computer Science | Algorithms | Mathematical Applications in Computer ScienceAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 005.131 Online resources: Click here to access online
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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