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Birkhäuser

Numerical Boundary Value ODEs

Proceedings of an International Workshop, Vancouver, Canada, July 10–13, 1984

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. Uri M. Ascher

    1. The University of British Columbia, Vancouver, Canada

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  2. Robert D. Russell

    1. University of New Mexico, Albuquerque, USA

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Part of the book series: Progress in Scientific Computing (PSC, volume 5)

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Table of contents (18 papers)

  1. Front Matter

    Pages i-xii
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  2. Conditioning, dichotomy and related numerical considerations

    1. A Unified View of Some Recent Developments in the Numerical Solution of Bvodes

      • Robert D. Russell
      Pages 1-20

    2. The Role of Conditioning in Shooting Techniques

      • Frank de Hoog, Robert Mattheij
      Pages 21-54

    3. On Non-Invertible Boundary Value Problems

      • R. M. M. Mattheij, F. R. de Hoog
      Pages 55-75

    4. Riccati Transformations: When and How to Use?

      • Paul van Loon
      Pages 77-89

    5. Discretizations with Dichotomic Stability for Two-Point Boundary Value Problems

      • Roland England, Robert M. M. Mattheij
      Pages 91-106

  6. Special applications

    1. A Finite Difference Method for the Basic Stationary Semiconductor Device Equations

      • Peter A. Markowich
      Pages 285-301

    2. Solution of Premixed and Counterflow Diffusion Flame Problems by Adaptive Boundary Value Methods

      • Mitchell D. Smooke, James A. Miller, Robert J. Kee
      Pages 303-317

  7. Back Matter

    Pages 318-318
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Keywords

About this book

In the past few years, knowledge about methods for the numerical solution of two-point boundary value problems has increased significantly. Important theoretical and practical advances have been made in a number or fronts, although they are not adequately described in any tt'xt currently available. With this in mind, we organized an international workshop, devoted solely to this topic. Tht' workshop took place in Vancouver, B.C., Canada, in July 1()"13, 1984. This volume contains the refereed proceedings of the workshop. Contributions to the workshop were in two formats. There were a small number of invited talks (ten of which are presented in this proceedings); the other contributions were in the rorm or poster sessions, for which there was no parallel activity in the workshop. We had attemptt'd to cover a number of topics and objectives in the talks. As a result, the general review papt'rs of O'Malley and Russell are intended to take a broader perspective, while the other papers aremore specific. The contributions in this volume are divided (somewhat arbitrarily) into five groups. The first group concerns fundamental issues like conditioning and decoupling, which have only rect'ntly gained a proper appreciation of their centrality. Understanding of certain aspects or shooting methods ties in with these fundamental concepts. The papers of Russell, dt' Hoog and Mattheij all deal with these issues.

Editors and Affiliations

  • The University of British Columbia, Vancouver, Canada

    Uri M. Ascher

  • University of New Mexico, Albuquerque, USA

    Robert D. Russell

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