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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 Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems
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    Chapter 2 Relation Algebra, RelView , and Plurality Voting
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    Chapter 3 An Algorithm for Converting Nonlinear Differential Equations to Integral Equations with an Application to Parameter Estimation from Noisy Data
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    Chapter 4 Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains
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    Chapter 5 Computing the Topology of an Arrangement of Implicit and Parametric Curves Given by Values
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    Chapter 6 Finding a Deterministic Generic Position for an Algebraic Space Curve
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    Chapter 7 Optimal Estimations of Seiffert-Type Means By Some Special Gini Means
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    Chapter 8 CAS Application to the Construction of High-Order Difference Schemes for Solving Poisson Equation
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    Chapter 9 On Symbolic Solutions of Algebraic Partial Differential Equations
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    Chapter 10 Eigenvalue Method with Symmetry and Vibration Analysis of Cyclic Structures
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    Chapter 11 Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials
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    Chapter 12 Sporadic Examples of Directed Strongly Regular Graphs Obtained By Computer Algebra Experimentation
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    Chapter 13 On the Parallelization of Subproduct Tree Techniques Targeting Many-Core Architectures
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    Chapter 14 Deterministically Computing Reduction Numbers of Polynomial Ideals
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    Chapter 15 A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields
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    Chapter 16 Invariant Manifolds in the Classic and Generalized Goryachev–Chaplygin Problem
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    Chapter 17 Coherence and Large-Scale Pattern Formation in Coupled Logistic-Map Lattices via Computer Algebra Systems
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    Chapter 18 On the Computation of the Determinant of a Generalized Vandermonde Matrix
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    Chapter 19 Computer Algebra in Scientific Computing
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    Chapter 20 Sharpness in Trajectory Estimation for Planar Four-points Piecewise-Quadratic Interpolation
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    Chapter 21 Scheme for Numerical Investigation of Movable Singularities of the Complex Valued Solutions of Ordinary Differential Equations
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    Chapter 22 Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents ( Invited Talk )
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    Chapter 23 Lie Symmetry Analysis for Cosserat Rods
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    Chapter 24 Real Polynomial Root-Finding by Means of Matrix and Polynomial Iterations
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    Chapter 25 On Testing Uniqueness of Analytic Solutions of PDE with Boundary Conditions
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    Chapter 26 Continuous Problems: Optimality, Complexity, Tractability ( Invited Talk )
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    Chapter 27 On Integrability of Evolutionary Equations in the Restricted Three-Body Problem with Variable Masses
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    Chapter 28 Factoring Sparse Bivariate Polynomials Using the Priority Queue
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    Chapter 29 Solving Parametric Sparse Linear Systems by Local Blocking
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    Chapter 30 Analytical Calculations in Maple to Implement the Method of Adiabatic Modes for Modelling Smoothly Irregular Integrated Optical Waveguide Structures
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    Chapter 31 CAS Application to the Construction of the Collocations and Least Residuals Method for the Solution of the Burgers and Korteweg–de Vries–Burgers Equations
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    Chapter 32 An Algorithm for Computing the Truncated Annihilating Ideals for an Algebraic Local Cohomology Class
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    Chapter 33 Applications of the Newton Index to the Construction of Irreducible Polynomials
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    Chapter 34 Symbolic-Numeric Algorithm for Solving the Problem of Quantum Tunneling of a Diatomic Molecule through Repulsive Barriers
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    Chapter 35 Enumeration of Schur Rings Over Small Groups
Attention for Chapter 4: Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains
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Chapter title
Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains
Chapter number 4
Book title
Computer Algebra in Scientific Computing
Published in
arXiv, September 2014
DOI 10.1007/978-3-319-10515-4_4
Book ISBNs
978-3-31-910514-7, 978-3-31-910515-4
Authors

R. Bradford, C. Chen, J. H. Davenport, M. England, M. Moreno Maza, D. Wilson, Russell Bradford, Changbo Chen, James H. Davenport, Matthew England, Marc Moreno Maza, David Wilson

Twitter Demographics

The data shown below were collected from the profile of 1 tweeter who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor 2 100%
Readers by discipline Count As %
Mathematics 1 50%
Computer Science 1 50%

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 27 January 2014.
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#12,861,397
of 14,546,169 outputs
Outputs from arXiv
#441,634
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#206,728
of 247,195 outputs
Outputs of similar age from arXiv
#8,136
of 10,484 outputs
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We're also able to compare this research output to 10,484 others from the same source and published within six weeks on either side of this one. This one is in the 1st percentile – i.e., 1% of its contemporaries scored the same or lower than it.