Defect Correction Methods

Theory and Applications

  • Klaus Böhmer
  • Hans J. Stetter

Part of the Computing Supplementum book series (COMPUTING, volume 5)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Introduction

    1. K. Böhmer, P. W. Hemker, H. J. Stetter
      Pages 1-32
  3. Defect Correction for Operator Equations

  4. Multi-grid Methods

  5. Computation of Guaranteed High-accuracy Results

  6. Defect Corrections in Applied Mathematics and Numerical Software

  7. Back Matter
    Pages 243-243

About this book


Ten years ago, the term "defect correction" was introduced to characterize a class of methods for the improvement of an approximate solution of an operator equation. This class includes many well-known techniques (e.g. Newton's method) but also some novel approaches which have turned out to be quite efficient. Meanwhile a large number of papers and reports, scattered over many journals and institutions, have appeared in this area. Therefore, a working conference on "Error Asymptotics and Defect Corrections" was organized by K. Bohmer, V. Pereyra and H. J. Stetter at the Mathematisches Forschungsinstitut Oberwolfach in July 1983, a meeting which aimed at bringing together a good number of the scientists who are active in this field. Altogether 26 persons attended, whose interests covered a wide spectrum from theoretical analyses to applications where defect corrections may be utilized; a list of the participants may be found in the Appendix. Most of the colleagues who presented formal lectures at the meeting agreed to publish their reports in this volume. It would be presumptuous to call this book a state-of-the-art report in defect corrections. It is rather a collection of snapshots of activities which have been going on in a number of segments on the frontiers of this area. No systematic coverage has been attempted. Some articles focus strongly on the basic concepts of defect correction; but in the majority of the contributions the defect correction ideas appear rather as instruments for the attainment of some specified goal.


algorithms calculus differential equation finite element method mathematics

Editors and affiliations

  • Klaus Böhmer
    • 1
  • Hans J. Stetter
    • 2
  1. 1.Fachbereich MathematikUniversität MarburgFederal Republic of Germany
  2. 2.Institut für Angewandte und Numerische MathematikTechnische Universität WienAustria

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Vienna 1984
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-81832-9
  • Online ISBN 978-3-7091-7023-6
  • Series Print ISSN 0344-8029
  • Buy this book on publisher's site