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Computer Algebra in Scientific Computing

Overview of attention for book
Cover of 'Computer Algebra in Scientific Computing'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Linear Differential Systems with Infinite Power Series Coefficients (Invited Talk)
  3. Altmetric Badge
    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
  19. Altmetric Badge
    Chapter 18 Computing the Integer Points of a Polyhedron, II: Complexity Estimates
  20. Altmetric Badge
    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
  27. Altmetric Badge
    Chapter 26 A Special Homotopy Continuation Method for a Class of Polynomial Systems
  28. Altmetric Badge
    Chapter 27 Penalty Function Based Critical Point Approach to Compute Real Witness Solution Points of Polynomial Systems
  29. Altmetric Badge
    Chapter 28 Computing Multiple Zeros of Polynomial Systems: Case of Breadth One (Invited Talk)
Attention for Chapter 22: Symbolic-Numeric Integration of the Dynamical Cosserat Equations
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Chapter title
Symbolic-Numeric Integration of the Dynamical Cosserat Equations
Chapter number 22
Book title
Computer Algebra in Scientific Computing
Published in
arXiv, September 2017
DOI 10.1007/978-3-319-66320-3_22
Book ISBNs
978-3-31-966319-7, 978-3-31-966320-3
Authors

Dmitry Lyakhov, Vladimir Gerdt, Andreas Weber, Dominik Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt, Andreas G. Weber, Dominik L. Michels

X Demographics

X Demographics

The data shown below were collected from the profiles of 3 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 11 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 11 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 27%
Professor > Associate Professor 3 27%
Researcher 2 18%
Unknown 3 27%
Readers by discipline Count As %
Engineering 3 27%
Computer Science 2 18%
Mathematics 1 9%
Arts and Humanities 1 9%
Nursing and Health Professions 1 9%
Other 0 0%
Unknown 3 27%
Attention Score in Context

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 01 November 2018.
All research outputs
#18,575,287
of 23,852,579 outputs
Outputs from arXiv
#459,025
of 990,619 outputs
Outputs of similar age
#231,081
of 320,109 outputs
Outputs of similar age from arXiv
#12,414
of 20,419 outputs
Altmetric has tracked 23,852,579 research outputs across all sources so far. This one is in the 19th percentile – i.e., 19% of other outputs scored the same or lower than it.
So far Altmetric has tracked 990,619 research outputs from this source. They receive a mean Attention Score of 4.0. This one is in the 43rd percentile – i.e., 43% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 320,109 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 22nd percentile – i.e., 22% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 20,419 others from the same source and published within six weeks on either side of this one. This one is in the 25th percentile – i.e., 25% of its contemporaries scored the same or lower than it.