Authors:
- Presents the authors' accumulated valuable experience in computing guaranteed error estimates in a systematic way
- Overviews recent trends and advances in the theory of directly computable error estimates (error indicators)
- Discusses the corresponding numerical algorithms in the context of various typical models in engineering and scientific computations
- Includes supplementary material: sn.pub/extras
Part of the book series: Computational Methods in Applied Sciences (COMPUTMETHODS, volume 32)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
From the book reviews:
“An up-to-date monograph for researchers, practitioners and advanced students in scientific computing. It tries to bridge the gap between theory and practice in error estimation spanning the whole modeling and simulation process.” (A. Bultheel, Mathematical Reviews, July, 2014)Authors and Affiliations
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Department of Mathematical InformationTechnology, University of Jyväskylä, Jyväskylä, Finland
Olli Mali, Pekka Neittaanmäki
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Steklov Institute of Mathematics, University of Jyväskylä, Jyväskylä, Finland, and Russian Academy of Sciences, St. Petersburg, Russia
Sergey Repin
Bibliographic Information
Book Title: Accuracy Verification Methods
Book Subtitle: Theory and Algorithms
Authors: Olli Mali, Pekka Neittaanmäki, Sergey Repin
Series Title: Computational Methods in Applied Sciences
DOI: https://doi.org/10.1007/978-94-007-7581-7
Publisher: Springer Dordrecht
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2014
Hardcover ISBN: 978-94-007-7580-0Published: 11 November 2013
Softcover ISBN: 978-94-024-0498-2Published: 17 September 2016
eBook ISBN: 978-94-007-7581-7Published: 27 October 2013
Series ISSN: 1871-3033
Series E-ISSN: 2543-0203
Edition Number: 1
Number of Pages: XIII, 355
Number of Illustrations: 75 b/w illustrations
Topics: Numeric Computing, Computational Science and Engineering, Numerical Analysis, Numerical and Computational Physics, Simulation, Computational Intelligence