Numerical Boundary Value ODEs

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

  • Uri M. Ascher
  • Robert D. Russell

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

Table of contents

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

    1. Frank de Hoog, Robert Mattheij
      Pages 21-54
    2. R. M. M. Mattheij, F. R. de Hoog
      Pages 55-75
    3. Roland England, Robert M. M. Mattheij
      Pages 91-106
  3. Implementation aspects of various methods

  4. Singular perturbation (‘stiff’) problems

  5. Bifurcation problems and delay differential equations

  6. Special applications

  7. Back Matter
    Pages 318-318

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 are more 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.


Approximation Boundary value problem boundary element method differential equation partial differential equation

Editors and affiliations

  • Uri M. Ascher
    • 1
  • Robert D. Russell
    • 2
  1. 1.The University of British ColumbiaVancouverCanada
  2. 2.University of New MexicoAlbuquerqueUSA

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