Error Control and Adaptivity in Scientific Computing

  • Haydar Bulgak
  • Christoph Zenger

Part of the NATO Science Series book series (ASIC, volume 536)

About this book

Introduction

One of the main ways by which we can understand complex processes is to create computerised numerical simulation models of them. Modern simulation tools are not used only by experts, however, and reliability has therefore become an important issue, meaning that it is not sufficient for a simulation package merely to print out some numbers, claiming them to be the desired results. An estimate of the associated error is also needed. The errors may derive from many sources: errors in the model, errors in discretization, rounding errors, etc.
Unfortunately, this situation does not obtain for current packages and there is a great deal of room for improvement. Only if the error can be estimated is it possible to do something to reduce it. The contributions in this book cover many aspects of the subject, the main topics being error estimates and error control in numerical linear algebra algorithms (closely related to the concept of condition numbers), interval arithmetic and adaptivity for continuous models.

Keywords

algorithm algorithms computer construction linear algebra model scientific computing simulation stability

Editors and affiliations

  • Haydar Bulgak
    • 1
  • Christoph Zenger
    • 2
  1. 1.Research Center of Applied MathematicsSelcuk UniversityKonyaTurkey
  2. 2.Institut für InformatikTechnische Universität MünchenMünchenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-4647-0
  • Copyright Information Kluwer Academic Publishers 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-5809-1
  • Online ISBN 978-94-011-4647-0
  • Series Print ISSN 1389-2185
  • About this book
Industry Sectors
Aerospace
Oil, Gas & Geosciences