Theoretical Computer Science and General Issues

Computer Algebra in Scientific Computing

14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012, Proceedings

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

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About this book

This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012. The 28 full papers presented were carefully reviewed and selected for inclusion in this book. One of the main themes of the CASC workshop series, namely polynomial algebra, is represented by contributions devoted to new algorithms for computing comprehensive Gröbner and involutive systems, parallelization of the Gröbner bases computation, the study of quasi-stable polynomial ideals, new algorithms to compute the Jacobson form of a matrix of Ore polynomials, a recursive Leverrier algorithm for inversion of dense matrices whose entries are monic polynomials, root isolation of zero-dimensional triangular polynomial systems, optimal computation of the third power of a long integer, investigation of the complexity of solving systems with few independent monomials, the study of ill-conditioned polynomial systems, a method for polynomial root-finding via eigen-solving and randomization, an algorithm for fast dense polynomial multiplication with Java using the new opaque typed method, and sparse polynomial powering using heaps.

Table of contents (30 chapters)

  • On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations

    Abramov, S. A. (et al.)

    Pages 1-11

  • An Algebraic Characterization of Rainbow Connectivity

    Ananth, Prabhanjan (et al.)

    Pages 12-21

  • Application of the Method of Asymptotic Solution to One Multi-Parameter Problem

    Batkhin, Alexander

    Pages 22-33

  • A New Algorithm for Long Integer Cube Computation with Some Insight into Higher Powers

    Bodrato, Marco (et al.)

    Pages 34-46

  • Lightweight Abstraction for Mathematical Computation in Java

    Bourdykine, Pavel (et al.)

    Pages 47-59

Buy this book

eBook $64.99
price for USA (gross)
  • ISBN 978-3-642-32973-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $83.00
price for USA
  • ISBN 978-3-642-32972-2
  • 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
14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012, Proceedings
Editors
  • Vladimir P. Gerdt
  • Wolfram Koepf
  • Ernst W. Mayr
  • Evgenii V. Vorozhtsov
Series Title
Theoretical Computer Science and General Issues
Series Volume
7442
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-32973-9
DOI
10.1007/978-3-642-32973-9
Softcover ISBN
978-3-642-32972-2
Edition Number
1
Number of Pages
XIV, 363
Number of Illustrations and Tables
42 b/w illustrations
Topics