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Theoretical Computer Science and General Issues

Computer Algebra in Scientific Computing

15th International Workshop, CASC 2013, Berlin, Germany, September 9-13, 2013, Proceedings

Editors: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (Eds.)

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  • ISBN 978-3-319-02297-0
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About this book

This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2013, held in Berlin, Germany, in September 2013. The 33 full papers presented were carefully reviewed and selected for inclusion in this book.

The papers address issues such as polynomial algebra; the solution of tropical linear systems and tropical polynomial systems; the theory of matrices; the use of computer algebra for the investigation of various mathematical and applied topics related to ordinary differential equations (ODEs); applications of symbolic computations for solving partial differential equations (PDEs) in mathematical physics; problems arising at the application of computer algebra methods for finding infinitesimal symmetries; applications of symbolic and symbolic-numeric algorithms in mechanics and physics; automatic differentiation; the application of the CAS Mathematica for the simulation of quantum error correction in quantum computing; the application of the CAS GAP for the enumeration of Schur rings over the group A5; constructive computation of zero separation bounds for arithmetic expressions; the parallel implementation of fast Fourier transforms with the aid of the Spiral library generation system; the use of object-oriented languages such as Java or Scala for implementation of categories as type classes; a survey of industrial applications of approximate computer algebra.

Table of contents (35 chapters)

  • On the Dimension of Solution Spaces of Full Rank Linear Differential Systems

    Abramov, S. A. (et al.)

    Pages 1-9

  • Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem

    Adrovic, Danko (et al.)

    Pages 10-29

  • Computing the Limit Points of the Quasi-component of a Regular Chain in Dimension One

    Alvandi, Parisa (et al.)

    Pages 30-45

  • On Consistency of Finite Difference Approximations to the Navier-Stokes Equations

    Amodio, Pierluigi (et al.)

    Pages 46-60

  • Faster Sparse Interpolation of Straight-Line Programs

    Arnold, Andrew (et al.)

    Pages 61-74

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-3-319-02297-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-319-02296-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Computer Algebra in Scientific Computing
Book Subtitle
15th International Workshop, CASC 2013, Berlin, Germany, September 9-13, 2013, Proceedings
Editors
  • Vladimir P. Gerdt
  • Wolfram Koepf
  • Ernst W. Mayr
  • Evgenii V. Vorozhtsov
Series Title
Theoretical Computer Science and General Issues
Series Volume
8136
Copyright
2013
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-02297-0
DOI
10.1007/978-3-319-02297-0
Softcover ISBN
978-3-319-02296-3
Edition Number
1
Number of Pages
XVI, 443
Number of Illustrations and Tables
58 b/w illustrations
Topics