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Computer Algebra in Scientific Computing

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

  • Conference proceedings
  • © 2012

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Editors:
  1. Vladimir P. Gerdt

    1. Laboratory of Information Technologies (LIT), Joint Institute for Nuclear Research (JINR), Dubna, Russia

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  2. Wolfram Koepf

    1. Institut für Mathematik, Universität Kassel, Kassel, Germany

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  3. Ernst W. Mayr

    1. Institut für Informatik, Lehrstuhl für Effiziente Algorithmen, Technische Universität München, Garching, Germany

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  4. Evgenii V. Vorozhtsov

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

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 7442)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

Included in the following conference series:

Conference proceedings info: CASC 2012.

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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.

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Table of contents (30 papers)

  1. Front Matter

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

    • S. A. Abramov, M. Petkovšek
    Pages 1-11

  3. An Algebraic Characterization of Rainbow Connectivity

    • Prabhanjan Ananth, Ambedkar Dukkipati
    Pages 12-21

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

    • Alexander Batkhin
    Pages 22-33

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

    • Marco Bodrato, Alberto Zanoni
    Pages 34-46

  6. Lightweight Abstraction for Mathematical Computation in Java

    • Pavel Bourdykine, Stephen M. Watt
    Pages 47-59

  7. Calculation of Normal Forms of the Euler–Poisson Equations

    • Alexander D. Bruno, Victor F. Edneral
    Pages 60-71

  8. Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem

    • Dzmitry A. Budzko, Alexander N. Prokopenya
    Pages 72-83

  9. Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates

    • Hassan Errami, Werner M. Seiler, Markus Eiswirth, Andreas Weber
    Pages 84-97

  10. Comprehensive Involutive Systems

    • Vladimir Gerdt, Amir Hashemi
    Pages 98-116

  11. A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials

    • Mark Giesbrecht, Albert Heinle
    Pages 117-128

  12. The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System

    • Jaume Giné, Colin Christopher, Mateja Prešern, Valery G. Romanovski, Natalie L. Shcheglova
    Pages 129-142

  13. Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics

    • Dima Grigoriev, Andreas Weber
    Pages 143-154

  14. Symbolic-Numerical Calculations of High-|m| Rydberg States and Decay Rates in Strong Magnetic Fields

    • Alexander Gusev, Sergue Vinitsky, Ochbadrakh Chuluunbaatar, Vladimir Gerdt, Luong Le Hai, Vitaly Rostovtsev
    Pages 155-171

  15. Quasi-stability versus Genericity

    • Amir Hashemi, Michael Schweinfurter, Werner M. Seiler
    Pages 172-184

  16. Invariant Theory: Applications and Computations

    • Gregor Kemper
    Pages 185-185

  17. Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems

    • Jia Li, Jin-San Cheng, Elias P. Tsigaridas
    Pages 186-197

  18. On Fulton’s Algorithm for Computing Intersection Multiplicities

    • Steffen Marcus, Marc Moreno Maza, Paul Vrbik
    Pages 198-211

  19. A Note on the Space Complexity of Fast D-Finite Function Evaluation

    • Marc Mezzarobba
    Pages 212-223

  20. Inversion Modulo Zero-Dimensional Regular Chains

    • Marc Moreno Maza, Éric Schost, Paul Vrbik
    Pages 224-235
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Other volumes

  1. Computer Algebra in Scientific Computing

Editors and Affiliations

  • Laboratory of Information Technologies (LIT), Joint Institute for Nuclear Research (JINR), Dubna, Russia

    Vladimir P. Gerdt

  • Institut für Mathematik, Universität Kassel, Kassel, Germany

    Wolfram Koepf

  • Institut für Informatik, Lehrstuhl für Effiziente Algorithmen, Technische Universität München, Garching, Germany

    Ernst W. Mayr

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

    Evgenii V. Vorozhtsov

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