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Inclusion Methods for Nonlinear Problems

With Applications in Engineering, Economics and Physics

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Jürgen Herzberger

    1. Faculty of Mathematics, University of Oldenbourg, Oldenbourg, Germany

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Part of the book series: Computing Supplementa (COMPUTING, volume 16)

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Table of contents (17 papers)

  1. Front Matter

    Pages I-XII
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  2. On Symmetric Solution Sets

    • Götz Alefeld, Vladik Kreinovich, Güunter Mayer
    Pages 1-22

  3. Methods for Computing All Roots of a Polynomial Simultaneously ­ Known Results and Open Problems

    • Lydia Atanassova, N. Kyurkchiev, Tetsuro Yamamoto
    Pages 23-35

  4. Narrow Bounds for the Effective Rate of Return Concerning a Special Problem for Annuities

    • F. Detmers, J. Herzberger
    Pages 37-43

  5. Algorithmic Differentiation with Intervals

    • H. Fischer
    Pages 45-65

  6. Computation of a Family of Non-cosymmetrical Equilibria in a System of Nonlinear Parabolic Equations

    • K. Frischmuth, V. G. Tsybulin
    Pages 67-82

  7. Quadratic Convergence of Scaled Iterates by Kogbetliantz Method

    • Vjeran Hari, Josip Matejaš
    Pages 83-105

  8. On a Method for Computing Inclusions of Solutions of the Basic GPS Equations

    • G. Heindl
    Pages 107-119

  9. Construction of Bounds for the Positive Root of a General Class of Polynomials with Applications

    • J. Herzberger, A. Langer
    Pages 121-133

  10. Rounding Near Zero

    • Ulrich W. Kulisch
    Pages 135-142

  11. a Note on the Convergence of the SOR-like Weierstrass Method

    • N. Kyurkchiev
    Pages 143-149

  12. Boundary Regularity Aspects in Solving Contact Problems

    • Dirk Langemann
    Pages 151-163

  13. Convex-decomposable Operators and Inclusive Algorithms

    • Yong-xiang Ling, Hua-lin Cao, Han-fang Sheng
    Pages 165-170

  14. Fast Inclusion and Residual Iteration for Solutions of Matrix Equations

    • Takeshi Ogita, Shin’ichi Oishi, Yasunori Ushiro
    Pages 171-184

  15. Schröder-like Methods for the Simultaneous Inclusion of Polynomial Zeros

    • L. D. Petković, M. S. Petković
    Pages 185-197

  16. Interval Root-finding Methods of Laguerre’s Type*

    • L. D. Petković, M. S. Petković, D. Živković
    Pages 199-211

  17. Exact Behavior of Singularities of Protter’s Problem for the 3-D Wave Equation

    • Nedyu Popivanov, Todor Popov
    Pages 213-236

  18. Construction of Shortest Line of Restricted Curvature in a Non-singly-connected Polygonal Area

    • S. V. Smelyakov
    Pages 237-244

  19. Back Matter

    Pages 245-251
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Keywords

About this book

This workshop was organized with the support of GAMM, the International Association of Applied Mathematics and Mechanics, on the occasion of J. Herzberger's 60th birthday. GAMM is thankful to him for all the time and work he spent in the preparation and holding of the meeting. The talks presented during the workshop and the papers published in this volume are part of the field of Verification Numerics. The important subject is fostered by GAMM already since a number of years, especially also by the GAMM­ FachausschuB (special interest group) "Rechnerarithmetik und Wissenschaft­ liches Rechnen". GiHz Alefeld Karlsruhe, Dezember 2001 (President of GAMM) Preface At the end of the year 2000, about 23 scientists from many countries gathered in the beautiful city of Munich on the occasion of the International GAMM­ Workshop on "Inclusion Methods for Nonlinear Problems with Applications in Engineering, Economics and Physics" from December 15 to 18. The purpose of this meeting was to bring together representatives of research groups from Austria, Bulgaria, China, Croatia, Germany, Japan, Russia, Ukraine and Yugoslavia who in a wider sense work in the field of calculating numerical solutions with error-bounds. Most of those participants have already known each other from earlier occasions or closely cooperated in the past. Representatives from three Academies of Sciences were among the speakers of this conference: from the Bulgarian Academy, the Russian Academy and the Ukrainian Academy of Sciences.

Editors and Affiliations

  • Faculty of Mathematics, University of Oldenbourg, Oldenbourg, Germany

    Jürgen Herzberger

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