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Stiff Differential Systems

  • Book
  • © 1974

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Editors:
  1. Ralph A. Willoughby

    1. Mathematical Sciences Department, IBM T. J. Watson Research Center, Yorktown Heights, USA

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Part of the book series: The IBM Research Symposia Series (IRSS)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. International Symposium on Stiff Differential Systems

    • Ralph A. Willoughby
    Pages 1-19

  3. Composite Multistep Methods and Stiff Stability

    • Theodore A. Bickart, William B. Rubin
    Pages 21-36

  4. Numerical A-Stability for Difference-Differential Systems

    • R. K. Brayton
    Pages 37-48

  5. Compuation of Real-Time-Control in Aerospace Applications by Multiple Shooting Procedures

    • R. Bulirsch, H.-W. Branca
    Pages 49-50

  6. Simulation of Chemical Kinetics Transport in the Stratosphere

    • J. S. Chang, A. C. Hindmarsh, N. K. Madsen
    Pages 51-65

  7. The Sets of Smooth Solutions of Differential and Difference Equations

    • Germund Dahlquist
    Pages 67-80

  8. Integration Package for Chemical Kinetics

    • Lennart Edsberg
    Pages 81-94

  9. Optimal Second Derivative Methods for Stiff Systems

    • W. H. Enright
    Pages 95-109

  10. The Stability of Automatic Programs for Numerical Problems

    • C. W. Gear, K. W. Tu, D. S. Watanabe
    Pages 111-121

  11. An Implementation of Gear’s Algorithm for CSMP III

    • A. R. Gourlay, H. D. D. Watson
    Pages 123-133

  12. A Pseudo Dynamic Method for Solving Nonlinear Algebraic Equations

    • G. Hachtel, M. Mack
    Pages 135-150

  13. The Validation and Comparison of Programs for Stiff Systems

    • T. E. Hull
    Pages 151-164

  14. Numerical Solution of Singular Perturbation Problems

    • Heinz-Otto Kreiss
    Pages 165-170

  15. Two Unconventional Classes of Methods for Stiff Systems

    • J. D. Lambert
    Pages 171-186

  16. The Occurrence and Numerical Solution of Physical and Chemical Systems Having Widely Varying Time Constants

    • L. Lapidus, R. C. Aiken, Y. A. Liu
    Pages 187-200

  17. A Stiff System Package Based on the Implicit Midpoint Method with Smoothing and Extrapolation

    • Bengt Lindberg
    Pages 201-215

  18. Construction of a Family of Second Order, A-Stable K-Step Formulas Depending on the Maximum Number, 2K-2, of Parameters

    • Werner Liniger, Thierry Gagnebin
    Pages 217-227

  19. Stiffness and Accuracy in the Method of Lines Integration of Partial Differential Equations

    • A. M. Loeb, W. E. Schiesser
    Pages 229-243

  20. Economical Global Error Estimation

    • Hans J. Stetter
    Pages 245-258
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About this book

The papers in these proceedings were presented at an Inter­ national Symposium on Stiff Differential Systems, which was held at the Hotel Quellenhof, Wildbad, Federal Republic of Germany, October 4-6, 1973. The sumposium was organized by IBM Germany and sponsored by the IBM World Trade Corporation. On behalf of all the participants we wish to express our appreciation to the sponsors and organizers for their generous support,particularly to Dr. G. HUbner, representing Scientific Relations, IBM Germany, and Dr. G. Kozak, representing IBM World Trade Headquarters, New York. The purpose of the conference was to provide an intensive treatment of all apsects of a difficult problem class, stiff differential systems. Some major fields of interest of attendees and contributors are: 1) Modeling and problem solving in scien­ tific and technological applications, 2) Qualitative theory of stiff systems, 3) Numerical Analysis, including design, valida­ tion, and comparison of algorithms, as well as error and stability analysis, and 4) Computer Science, in particular problem-oriented programming languages, program packages, and applications-oriented computer architecture.

Editors and Affiliations

  • Mathematical Sciences Department, IBM T. J. Watson Research Center, Yorktown Heights, USA

    Ralph A. Willoughby

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