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Computer Algebra in Scientific Computing

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Cover of 'Computer Algebra in Scientific Computing'

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)
Overall attention for this book and its chapters
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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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X Demographics

The data shown below were collected from the profiles of 4 X users who shared this research output. Click here to find out more about how the information was compiled.
 Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 1 100%
Readers by discipline Count As %
Computer Science 1 100%

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