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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 On the Differential and Full Algebraic Complexities of Operator Matrices Transformations
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    Chapter 2 Resolving Decompositions for Polynomial Modules
  4. Altmetric Badge
    Chapter 3 Setup of Order Conditions for Splitting Methods
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    Chapter 4 Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators
  6. Altmetric Badge
    Chapter 5 Improved Computation of Involutive Bases
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    Chapter 6 Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods
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    Chapter 7 Algorithmic Computation of Polynomial Amoebas
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    Chapter 8 Sparse Gaussian Elimination Modulo p: An Update
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    Chapter 9 MathCheck2: A SAT+CAS Verifier for Combinatorial Conjectures
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    Chapter 10 Incompleteness, Undecidability and Automated Proofs
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    Chapter 11 A Numerical Method for Computing Border Curves of Bi-parametric Real Polynomial Systems and Applications
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    Chapter 12 The Complexity of Cylindrical Algebraic Decomposition with Respect to Polynomial Degree
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    Chapter 13 Efficient Simplification Techniques for Special Real Quantifier Elimination with Applications to the Synthesis of Optimal Numerical Algorithms
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    Chapter 14 Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems
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    Chapter 15 Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups
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    Chapter 16 A Symbolic Investigation of the Influence of Aerodynamic Forces on Satellite Equilibria
  18. Altmetric Badge
    Chapter 17 Computer Algebra in High-Energy Physics (Invited Talk)
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    Chapter 18 A Note on Dynamic Gröbner Bases Computation
  20. Altmetric Badge
    Chapter 19 Qualitative Analysis of the Reyman – Semenov–Tian–Shansky Integrable Case of the Generalized Kowalewski Top
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    Chapter 20 On Multiple Eigenvalues of a Matrix Dependent on a Parameter
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    Chapter 21 A Generalised Branch-and-Bound Approach and Its Application in SAT Modulo Nonlinear Integer Arithmetic
  23. Altmetric Badge
    Chapter 22 Computing Characteristic Polynomials of Matrices of Structured Polynomials
  24. Altmetric Badge
    Chapter 23 Computer Algebra in Scientific Computing
  25. Altmetric Badge
    Chapter 24 Computer Algebra in Scientific Computing
  26. Altmetric Badge
    Chapter 25 Using Sparse Interpolation in Hensel Lifting
  27. Altmetric Badge
    Chapter 26 A Survey of Satisfiability Modulo Theory
  28. Altmetric Badge
    Chapter 27 Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image
  29. Altmetric Badge
    Chapter 28 A Lower Bound for Computing Lagrange’s Real Root Bound
  30. Altmetric Badge
    Chapter 29 Enhancing the Extended Hensel Construction by Using Gröbner Bases
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    Chapter 30 Symbolic-Numerical Optimization and Realization of the Method of Collocations and Least Residuals for Solving the Navier–Stokes Equations
  32. Altmetric Badge
    Chapter 31 Pruning Algorithms for Pretropisms of Newton Polytopes
  33. Altmetric Badge
    Chapter 32 Computational Aspects of a Bound of Lagrange
Attention for Chapter 24: Computer Algebra in Scientific Computing
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Chapter title
Computer Algebra in Scientific Computing
Chapter number 24
Book title
Computer Algebra in Scientific Computing
Published in
Lecture notes in computer science, January 2016
DOI 10.1007/978-3-319-45641-6_24
Book ISBNs
978-3-31-945640-9, 978-3-31-945641-6
Authors

Dominik Michels, Dmitry Lyakhov, Vladimir Gerdt, Zahid Hossain, Ingmar Riedel-Kruse, Andreas Weber, Dominik L. Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt, Ingmar H. Riedel-Kruse, Andreas G. Weber

Editors

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

X Demographics

X Demographics

The data shown below were collected from the profile of 1 X user 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 13 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 8%
Unknown 12 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 23%
Other 2 15%
Researcher 2 15%
Student > Bachelor 1 8%
Student > Master 1 8%
Other 1 8%
Unknown 3 23%
Readers by discipline Count As %
Engineering 7 54%
Computer Science 2 15%
Arts and Humanities 1 8%
Unknown 3 23%
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 12 October 2016.
All research outputs
#20,346,264
of 22,893,031 outputs
Outputs from Lecture notes in computer science
#6,993
of 8,129 outputs
Outputs of similar age
#330,792
of 393,734 outputs
Outputs of similar age from Lecture notes in computer science
#502
of 582 outputs
Altmetric has tracked 22,893,031 research outputs across all sources so far. This one is in the 1st percentile – i.e., 1% of other outputs scored the same or lower than it.
So far Altmetric has tracked 8,129 research outputs from this source. They receive a mean Attention Score of 5.0. This one is in the 1st percentile – i.e., 1% 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 393,734 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 1st percentile – i.e., 1% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 582 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.