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Computer Algebra in Scientific Computing CASC’99

Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, Munich, May 31 – June 4, 1999

  • Conference proceedings
  • © 1999

Overview

Editors:
  1. Victor G. Ganzha

    1. Institut für Informatik, Technische Universität, München, Germany

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  2. Ernst W. Mayr

    1. Institut für Informatik, Technische Universität, München, Germany

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  3. Evgenii V. Vorozhtsov

    1. Institute of Theoretical and Applied Mathematics, Russian Academy of Sciences, Novosibirsk, Russia

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  • This is one of the few books on computer algebra topics from a scientific computing point of view

  • Includes supplementary material: sn.pub/extras

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Table of contents (38 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Solution of Ordinary Differential Equations with MathLie

    • Gerd Baumann
    Pages 1-23

  3. Analysis of Stability of Rational Approximations through Computer Algebra

    • Massimo Cafaro, Beatrice Paternoster
    Pages 25-36

  4. An Automatic Symbolic-Numeric Taylor Series ODE Solver

    • Brian J. Dupée, James H. Davenport
    Pages 37-50

  5. About Normal Form Method

    • Victor F. Edneral
    Pages 51-66

  6. Computer Algebra Investigation of Equivalence in 4-node Plane Stress/Strain Finite Elements

    • Anders Eriksson, Yunhua Luo, Costin Pacoste
    Pages 67-79

  7. Symmetry Theorems for the Newtonian 4- and 5-body Problems with Equal Masses

    • Jean-Charles Faugère, Ilias Kotsireas
    Pages 81-92

  8. Symbolic Derivation of Different Class of High-order Compact Schemes for Partial Differential Equations

    • Michel Fournié
    Pages 93-100

  9. Implementation of Aerodynamic Computations with Mathematica

    • Victor G. Ganzha, Evgenii V. Vorozhtsov
    Pages 101-114

  10. Completion of Linear Differential Systems to Involution

    • Vladimir P. Gerdt
    Pages 115-137

  11. Constrained Hamiltonian Systems and Gröbner Bases

    • Vladimir P. Gerdt, Soso A. Gogilidze
    Pages 139-146

  12. Construction of Involutive Monomial Sets for Different Involutive Divisions

    • Vladimir P. Gerdt, Vladimir V. Kornyak, Matthias Berth, Günter Czichowski
    Pages 147-157

  13. Partial Inverse Heuristic for the Approximate Solution of Non-linear Equations

    • Gaston H. Gonnet, Allan Bonadio
    Pages 159-176

  14. Computing Cocycles on Simplicial Complexes

    • Rocío González-Díaz, Pedro Real
    Pages 177-190

  15. Bifurcations of Maps in the Software Package CONTENT

    • W. Govaerts, Yu A. Kuznetsov, B. Sijnave
    Pages 191-206

  16. Extending a Java Based Framework for Scientific Software-Components

    • Manfred Göbel, Wolfgang Küchlin, Stefan Müller, Andreas Weber⋆
    Pages 207-222

  17. Symbolic-numeric Investigations for Stability Analysis of Satellite Systems

    • Sergey A. Gutnik
    Pages 223-228

  18. Quantization by Presentation: The Nambu-Goto String in 1+3 Dimensions

    • Gerrit Handrich
    Pages 229-232

  19. One Algorithm of Finding Solutions for the Systems with First Integrals

    • Valentin Irtegov, Tatyana Titorenko
    Pages 233-239

  20. Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis

    • Vladimir V. Kornyak
    Pages 241-249
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Keywords

About this book

The development of powerful computer algebra systems has considerably ex­ tended the scope of problems of scientific computing which can now be solved successfully with the aid of computers. However, as the field of applications of computer algebra in scientific computing becomes broader and more complex, there is a danger of separation between theory, systems, and applications. For this reason, we felt the need to bring together the researchers who now ap­ ply the tools of computer algebra for the solution of problems in scientific computing, in order to foster new and closer interactions. CASC'99 is the second conference devoted to applications of computer al­ gebra in scientific computing. The first conference in this sequence, CASC'98, was held 20-24 April 1998 in St. Petersburg, Russia. This volume contains revised versions of the papers submitted by the par­ ticipants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scien­ tific computing: symbolic-numeric analysis and solving differential equations, efficient computations with polynomials, groups, matrices and other related objects, special purpose programming environments, application to physics, mechanics, optics and to other areas. In particular, a significant group of papers deals with applications of com­ puter algebra methods for the solution of current problems in group theory, which mostly arise in mathematical physics.

Editors and Affiliations

  • Institut für Informatik, Technische Universität, München, Germany

    Victor G. Ganzha, Ernst W. Mayr

  • Institute of Theoretical and Applied Mathematics, Russian Academy of Sciences, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

Bibliographic Information

  • Book Title: Computer Algebra in Scientific Computing CASC’99

  • Book Subtitle: Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, Munich, May 31 – June 4, 1999

  • Editors: Victor G. Ganzha, Ernst W. Mayr, Evgenii V. Vorozhtsov

  • DOI: https://doi.org/10.1007/978-3-642-60218-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Softcover ISBN: 978-3-642-64309-5Published: 16 September 2011

  • eBook ISBN: 978-3-642-60218-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XI, 511

  • Topics: Algorithms, Algorithm Analysis and Problem Complexity

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