Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters

  • Hans G. Kaper
  • Marc Garbey
  • Gail W. Pieper

Part of the NATO ASI Series book series (ASIC, volume 384)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Modeling of Complex Systems with Asymptotic-enhanced Numerical Methods

  3. Asymptotic-induced Domain Decomposition Methods

  4. Multiple-Scale Problems in Scientific Computing

    1. Front Matter
      Pages 135-135
    2. Alvin Bayliss, Bernard J. Matkowsky, Hermann Riecke
      Pages 137-162
  5. Applied and Asymptotic Analysis

    1. Front Matter
      Pages 189-189
    2. L. Pamela Cook, D. O. Olagunju, G. F. Schleiniger
      Pages 191-205
    3. Jacques G. Laforgue, Robert E. O’Malley Jr.
      Pages 215-223
    4. Piero de Mottoni, Michelle Schatzman
      Pages 225-239
  6. Symbolic Manipulation Tools for Asymptotic Analysis

    1. Front Matter
      Pages 253-253
  7. Numerical Methods, Algorithms, and Architectures

  8. Back Matter
    Pages 367-372

About this book


This volume contains the proceedings of the NATO Advanced Research Workshop on "Asymptotic-induced Numerical Methods for Partial Differ­ ential Equations, Critical Parameters, and Domain Decomposition," held at Beaune (France), May 25-28, 1992. The purpose of the workshop was to stimulate the integration of asymp­ totic analysis, domain decomposition methods, and symbolic manipulation tools for the numerical solution of partial differential equations (PDEs) with critical parameters. A workshop on the same topic was held at Argonne Na­ tional Laboratory in February 1990. (The proceedings were published under the title Asymptotic Analysis and the Numerical Solu.tion of Partial Differ­ ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture Notes in Pure and Applied Mathematics. Vol. 130, ·Marcel Dekker, Inc., New York, 1991.) In a sense, the present proceedings represent a progress report on the topic area. Comparing the two sets of proceedings, we see an increase in the quantity as well as the quality of the contributions. 110re research is being done in the topic area, and the interest covers serious, nontrivial problems. We are pleased with this outcome and expect to see even more advances in the next few years as the field progresses.


Computer algorithms calculus differential equation modeling numerical methods partial differential equation

Editors and affiliations

  • Hans G. Kaper
    • 1
  • Marc Garbey
    • 2
  • Gail W. Pieper
    • 1
  1. 1.Argonne National LaboratoryArgonneUSA
  2. 2.Université Claude BernardLyonFrance

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 1993
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4798-2
  • Online ISBN 978-94-011-1810-1
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site