Scientific Computation with Automatic Result Verification

  • Ulrich Kulisch
  • Hans J. Stetter
Conference proceedings

Part of the Computing Supplementum book series (COMPUTING, volume 6)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Automatic Result Verification

    1. U. Kulisch, H. J. Stetter
      Pages 1-6
  3. Numerical Methods with Result Verification

  4. Applications in the Technical Sciences

  5. Improving the Tools

  6. Appendix

    1. Front Matter
      Pages 225-225
    2. J. H. Bleher, S. M. Rump, U. Kulisch, M. Metzger, Ch. Ullrich, W. Walter
      Pages 227-244

About these proceedings


Scientific Computation with Result Verification has been a persevering research topic at the Institute for Applied Mathematics of Karlsruhe University for many years. A good number of meetings have been devoted to this area. The latest of these meetings was held from 30 September to 2 October, 1987, in Karlsruhe; it was co-sponsored by the GAMM Committee on "Computer Arithmetic and Scientific Computation". - - This volume combines edited versions of selected papers presented at this confer­ ence, including a few which were presented at a similar meeting one year earlier. The selection was made on the basis of relevance to the topic chosen for this volume. All papers are original contributions. In an appendix, we have supplied a short account of the Fortran-SC language which permits the programming of algorithms with result verification in a natural manner. The editors hope that the publication of this material as a Supplementum of Computing will further stimulate the interest of the scientific community in this important tool for Scientific Computation. In particular, we would like to make application scientists aware of its potential. The papers in the second chapter of this volume should convince them that automatic result verification may help them to design more reliable software for their particular tasks. We wish to thank all contributors for adapting their manuscripts to the goals of this volume. We are also grateful to the Publisher, Springer-Verlag of Vienna, for an efficient and quick production.


FORTRAN Mathematica Natural algorithms computer

Editors and affiliations

  • Ulrich Kulisch
    • 1
  • Hans J. Stetter
    • 2
  1. 1.Institut für Angewandte MathematikUniversität KarlsruheFederal Republic of Germany
  2. 2.Institut für Angewandte und Numerische MathematikTechnische Universität WienAustria

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Vienna 1988
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-82063-6
  • Online ISBN 978-3-7091-6957-5
  • Series Print ISSN 0344-8029
  • Buy this book on publisher's site