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Computer Algebra in Scientific Computing

Overview of attention for book
Computer Algebra in Scientific Computing
Springer, Cham

Table of Contents

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    Book Overview
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    Chapter 1 Linear Differential Systems with Infinite Power Series Coefficients (Invited Talk)
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    Chapter 2 On the Asymptotic Stability of a Satellite with a Gravitational Stabilizer
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    Chapter 3 Sparse Interpolation, the FFT Algorithm and FIR Filters
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    Chapter 4 On New Integrals of the Algaba-Gamero-Garcia System
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    Chapter 5 Full Rank Representation of Real Algebraic Sets and Applications
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    Chapter 6 Certifying Simple Zeros of Over-Determined Polynomial Systems
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    Chapter 7 Decomposing Polynomial Sets Simultaneously into Gröbner Bases and Normal Triangular Sets
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    Chapter 8 Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks
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    Chapter 9 The Polymake Interface in Singular and Its Applications
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    Chapter 10 Computation of Some Integer Sequences in Maple
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    Chapter 11 Symbolic-Numerical Algorithm for Generating Interpolation Multivariate Hermite Polynomials of High-Accuracy Finite Element Method
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    Chapter 12 Symbolic-Numerical Algorithms for Solving the Parametric Self-adjoint 2D Elliptic Boundary-Value Problem Using High-Accuracy Finite Element Method
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    Chapter 13 A Symbolic Study of the Satellite Dynamics Subject to Damping Torques
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    Chapter 14 Characteristic Set Method for Laurent Differential Polynomial Systems
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    Chapter 15 Sparse Polynomial Interpolation with Finitely Many Values for the Coefficients
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    Chapter 16 On Stationary Motions of the Generalized Kowalewski Gyrostat and Their Stability
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    Chapter 17 Computing the Integer Points of a Polyhedron, I: Algorithm
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    Chapter 18 Computing the Integer Points of a Polyhedron, II: Complexity Estimates
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    Chapter 19 Non-linearity and Non-convexity in Optimal Knots Selection for Sparse Reduced Data
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    Chapter 20 The Convergence Conditions of Interval Newton’s Method Based on Point Estimates
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    Chapter 21 Normalization of Indexed Differentials Based on Function Distance Invariants
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    Chapter 22 Symbolic-Numeric Integration of the Dynamical Cosserat Equations
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    Chapter 23 Algorithms for Zero-Dimensional Ideals Using Linear Recurrent Sequences
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    Chapter 24 Symbolic-Numerical Analysis of the Relative Equilibria Stability in the Planar Circular Restricted Four-Body Problem
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    Chapter 25 The Method of Collocations and Least Residuals Combining the Integral Form of Collocation Equations and the Matching Differential Relations at the Solution of PDEs
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    Chapter 26 A Special Homotopy Continuation Method for a Class of Polynomial Systems
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    Chapter 27 Penalty Function Based Critical Point Approach to Compute Real Witness Solution Points of Polynomial Systems
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    Chapter 28 Computing Multiple Zeros of Polynomial Systems: Case of Breadth One (Invited Talk)
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Title
Computer Algebra in Scientific Computing
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-66320-3
ISBNs
978-3-31-966319-7, 978-3-31-966320-3
Editors

Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov

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