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Accuracy Verification Methods

Theory and Algorithms

  • Olli Mali
  • Pekka Neittaanmäki
  • Sergey Repin

Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 32)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Olli Mali, Pekka Neittaanmäki, Sergey Repin
    Pages 1-5
  3. Olli Mali, Pekka Neittaanmäki, Sergey Repin
    Pages 7-44
  4. Olli Mali, Pekka Neittaanmäki, Sergey Repin
    Pages 45-92
  5. Olli Mali, Pekka Neittaanmäki, Sergey Repin
    Pages 93-151
  6. Olli Mali, Pekka Neittaanmäki, Sergey Repin
    Pages 153-204
  7. Olli Mali, Pekka Neittaanmäki, Sergey Repin
    Pages 205-246
  8. Back Matter
    Pages 247-355

About this book

Introduction

The importance of accuracy verification methods was understood at the very beginning of the development of numerical analysis. Recent decades have seen a rapid growth of results related to adaptive numerical methods and a posteriori estimates. However, in this important area there often exists a noticeable gap between mathematicians creating the theory and researchers developing applied algorithms that could be used in engineering and scientific computations for guaranteed and efficient error control.

 

The goals of the book are to (1) give a transparent explanation of the underlying mathematical theory in a style accessible not only to advanced numerical analysts but also to engineers and students; (2) present detailed step-by-step algorithms that follow from a theory; (3) discuss their advantages and drawbacks, areas of applicability, give recommendations and examples.

Keywords

numerical analysis verification methods

Authors and affiliations

  • Olli Mali
    • 1
  • Pekka Neittaanmäki
    • 2
  • Sergey Repin
    • 3
  1. 1.Department of Mathematical InformationTechnologyUniversity of JyväskyläJyväskyläFinland
  2. 2.Department of Mathematical InformationTechnologyUniversity of JyväskyläJyväskyläFinland
  3. 3.Steklov Institute of MathematicsUniversity of Jyväskylä, Jyväskylä, Finland, and Russian Academy of SciencesSt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-7581-7
  • Copyright Information Springer Science+Business Media Dordrecht 2014
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-94-007-7580-0
  • Online ISBN 978-94-007-7581-7
  • Series Print ISSN 1871-3033
  • Buy this book on publisher's site
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