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Computer Algebra in Scientific Computing

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Table of Contents

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    Book Overview
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    Chapter 1 A Recurrent Method for Constructing Irreducible Polynomials over Finite Fields
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    Chapter 2 Higher-Order Linear Differential Systems with Truncated Coefficients
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    Chapter 3 Topology of Families of Implicit Algebraic Surfaces Depending on a Parameter
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    Chapter 4 A Modular Approach for Beam Lines Design
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    Chapter 5 Computations on Simple Games Using RelView
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    Chapter 6 On the Regularity Property of Differential Polynomials Modulo Regular Differential Chains
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    Chapter 7 Chemical Reaction Systems, Computer Algebra and Systems Biology
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    Chapter 8 On the Stability of Equilibrium Positions in the Circular Restricted Four-Body Problem
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    Chapter 9 Semi-algebraic Description of the Equilibria of Dynamical Systems
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    Chapter 10 Normal Forms of Two p : −  q Resonant Polynomial Vector Fields
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    Chapter 11 On Muldowney’s Criteria for Polynomial Vector Fields with Constraints
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    Chapter 12 Knowledge-Based Automatic Generation of Partitioned Matrix Expressions
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    Chapter 13 Involutive Division Generated by an Antigraded Monomial Ordering
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    Chapter 14 Symbolic-Numerical Algorithms to Solve the Quantum Tunneling Problem for a Coupled Pair of Ions
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    Chapter 15 Symbolic-Numeric Investigation of the Aerodynamic Forces Influence on Satellite Dynamics
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    Chapter 16 Practical Divide-and-Conquer Algorithms for Polynomial Arithmetic
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    Chapter 17 Fast and Robust Symbolic Model Order Reduction with Analog Insydes
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    Chapter 18 On Invariant Manifolds of Lagrange Systems
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    Chapter 19 Construction of Explicit Optimal Value Functions by a Symbolic-Numeric Cylindrical Algebraic Decomposition
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    Chapter 20 Convection in a Porous Medium and Mimetic Scheme in Polar Coordinates
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    Chapter 21 Computations in Finite Groups and Quantum Physics
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    Chapter 22 Regular and Singular Boundary Problems in Maple
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    Chapter 23 Algebraic Structures as Typed Objects
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    Chapter 24 On Two-Generated Non-commutative Algebras Subject to the Affine Relation
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    Chapter 25 Acceleration of the Inversion of Triangular Toeplitz Matrices and Polynomial Division
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    Chapter 26 Computing a Basin of Attraction to a Target Region by Solving Bilinear Semi-Definite Problems
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    Chapter 27 Symbolic-Numeric Solution of Ill-Conditioned Polynomial Systems (Survey Talk Overview) (Invited Talk)
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    Chapter 28 Symbolic-Manipulation Constructions of Hilbert-Space Metrics in Quantum Mechanics
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Computer Algebra in Scientific Computing
Published by
Springer Berlin Heidelberg, September 2011
DOI 10.1007/978-3-642-23568-9
978-3-64-223567-2, 978-3-64-223568-9

Gerdt, Vladimir P., Koepf, Wolfram, Mayr, Ernst W., Vorozhtsov, Evgenii V., Gerdt, Vladimir P., Koepf, Wolfram, Mayr, Ernst W., Vorozhtsov, Evgenii V.

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Researcher 1 100%
Readers by discipline Count As %
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