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Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters

  • Book
  • © 1993

Overview

Editors:
  1. Hans G. Kaper

    1. Argonne National Laboratory, Argonne, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Marc Garbey

    1. Université Claude Bernard, Lyon, France

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    You can also search for this editor in PubMed   Google Scholar

  3. Gail W. Pieper

    1. Argonne National Laboratory, Argonne, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 384)

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Table of contents (23 chapters)

  1. Front Matter

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

    1. Front Matter

      Pages 1-1
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    2. Asymptotics and Numerics for Laminar Flow Over a Finite Flat Plate

      • D. Dijkstra, J. G. M. Kuerten
      Pages 3-19

    3. Time-Scale Decoupling for Nearly Periodic Advection-Diffusion Equations

      • A. van Harten
      Pages 21-39

    4. Turbulence Modeling from an Asymptotic Point of View

      • H. Herwig
      Pages 41-52

    5. Some Applications of Combined Asymptotics and Numerics in Fluid Mechanics and Aerodynamics

      • N. D. Malmuth
      Pages 53-79

    6. Asymptotic-Assisted Numerics for Spectral Perturbation in MHD Instability

      • R. B. Paris, A. D. Wood
      Pages 81-90

  3. Asymptotic-induced Domain Decomposition Methods

    1. Front Matter

      Pages 91-91
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    2. Domain Decomposition as a Mechanism for Using Asymptotic Methods

      • William D. Gropp, David E. Keyes
      Pages 93-105

    3. Domain Decomposition: A Blowup Problem and the Ginzburg-Landau Equations

      • Man Kam Kwong
      Pages 107-122

    4. Factorization of the Advection-Diffusion Operator and Domain Decomposition Method

      • F. Nataf, F. Rogier
      Pages 123-133

  4. Multiple-Scale Problems in Scientific Computing

    1. Front Matter

      Pages 135-135
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    2. Modulated Traveling Waves in Combustion

      • Alvin Bayliss, Bernard J. Matkowsky, Hermann Riecke
      Pages 137-162

    3. Asymptotics and Multiscale Simulation in a Numerical Combustion Laboratory

      • D. Scott Stewart, John B. Bdzil
      Pages 163-187

  5. Applied and Asymptotic Analysis

    1. Front Matter

      Pages 189-189
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    2. Viscoelastic Fluid Flow: Critical Parameters and Asymptotics

      • L. Pamela Cook, D. O. Olagunju, G. F. Schleiniger
      Pages 191-205

    3. Exponentially Small Splitting of Homoclinic Orbits in a Water-Wave Problem

      • Wiktor Eckhaus
      Pages 207-214

    4. Supersensitive Boundary Value Problems

      • Jacques G. Laforgue, Robert E. O’Malley Jr.
      Pages 215-223

    5. Asymptotics of the Thual-Fauve Pulse

      • Piero de Mottoni, Michelle Schatzman
      Pages 225-239

    6. Exponential Convergence of the Galerkin Approximation for the Ginzburg-Landau Equation

      • Arjen Doelman, Edriss S. Titi
      Pages 241-252
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Keywords

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.

Editors and Affiliations

  • Argonne National Laboratory, Argonne, USA

    Hans G. Kaper, Gail W. Pieper

  • Université Claude Bernard, Lyon, France

    Marc Garbey

Bibliographic Information

  • Book Title: Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters

  • Editors: Hans G. Kaper, Marc Garbey, Gail W. Pieper

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-011-1810-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1993

  • Hardcover ISBN: 978-0-7923-2061-6Published: 30 November 1992

  • Softcover ISBN: 978-94-010-4798-2Published: 16 October 2012

  • eBook ISBN: 978-94-011-1810-1Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XVIII, 372

  • Topics: Analysis, Partial Differential Equations, Numeric Computing

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