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Numerical Methods for Bifurcation Problems

Proceedings of the Conference at the University of Dortmund, August 22–26, 1983

  • Conference proceedings
  • © 1984

Overview

Editors:
  1. T. Küpper

    1. Abt. Mathematik, Universität Dortmund, Dortmund 50, Germany

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  2. H. D. Mittelmann

    1. Abt. Mathematik, Universität Dortmund, Dortmund 50, Germany

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  3. H. Weber

    1. Rechenzentrum, Johannes Gutenberg-Universität, Mainz 1, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 70)

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Table of contents (40 papers)

  1. Numerical Treatment of Bifurcation Branches by Adaptive Condensation

    • Helmut Jarausch, Wolfgang Mackens
    Pages 296-309

  2. Numerical Determination of Multiple Bifurcation Points

    • Reinhard Menzel
    Pages 310-318

  3. Continuation Near Symmetry-Breaking Bifurcation Points

    • H. D. Mittelmann
    Pages 319-334

  4. The Numerical Bückling of a Visco-elastic Rod

    • Gerald Moore
    Pages 335-343

  5. Asymptotic Error Expansion for Finite Difference Schemes for Elliptic Systems Near Turning Points

    • Harry Munz
    Pages 344-351

  6. Global Aspects of Newton’s Method for Nonlinear Boundary Value Problems

    • Heinz-Otto Peitgen, Michael Prüfer
    Pages 352-368

  7. Finite Dimensional Approximation of Some Bifurcation Problems in Presence of Symmetries

    • Giuseppe Geymonat, Geneviève Raugel
    Pages 369-384

  8. Computation of Generalized Turning Points and Two-Point Boundary Value Problems

    • A. Griewank, G. W. Reddien
    Pages 385-400

  9. On Some Methods for the Computational Analysis of Manifolds

    • Werner C. Rheinboldt
    Pages 401-425

  10. Direct Methods for The Computation of a Nonsimple Turning Point Corresponding to a Cusp

    • Dirk Roose, Renaat Caluwaerts
    Pages 426-440

  11. On the Axisymmeteric Buckling of Thin Spherical Shells

    • Rudolf Scheidl
    Pages 441-451

  12. On the Rate of Convergence for the Approximation of Nonlinear Problems

    • Reinhard Scholz
    Pages 452-458

  13. Algorithms for Finite-Dimensional Turning Point Problems from Viewpoint to Relationships with Constrained Optimization Methods

    • Hubert Schwetlick
    Pages 459-479

  14. A Continuation Algorithm with Step Control

    • R. Seydel
    Pages 480-494

  15. Bifurcation near multiple eigenvalues for the flow between concentric counterrotating cylinders

    • R. C. Diprima, P. M. Eagles, J. Sijbrand
    Pages 495-501

  16. The Numerical Calculation of Cusps, Bifurcation Points and Isola Formation Points in Two Parameter Problems

    • Alastair Spence, Allan D. Jepson
    Pages 502-514

  17. Mode jumping of imperfect, buckled. rectangular plates

    • H. Steinrüc, H. Troger, R. Weiss
    Pages 515-524

  18. Application of Bifurcation Theory to the Solution of Nonlinear Stability Problems in Mechanical Engineering

    • Hans Troger
    Pages 525-546

  19. A Singular Multi-Grid Iteration Method for Bifurcation Problems

    • Helmut Weber
    Pages 547-561

  20. Regular Systems for Bifurcation Points with Underlying Symmetries

    • Bodo Werner
    Pages 562-574
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Keywords

Editors and Affiliations

  • Abt. Mathematik, Universität Dortmund, Dortmund 50, Germany

    T. Küpper, H. D. Mittelmann

  • Rechenzentrum, Johannes Gutenberg-Universität, Mainz 1, Germany

    H. Weber

Bibliographic Information

  • Book Title: Numerical Methods for Bifurcation Problems

  • Book Subtitle: Proceedings of the Conference at the University of Dortmund, August 22–26, 1983

  • Editors: T. Küpper, H. D. Mittelmann, H. Weber

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-6256-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1984

  • Softcover ISBN: 978-3-0348-6257-8Published: 11 April 2014

  • eBook ISBN: 978-3-0348-6256-1Published: 27 November 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: 584

  • Number of Illustrations: 108 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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