Accuracy verification methods [electronic resource] : theory and algorithms / Olli Mali, Pekka Neittaanmäki, Sergey Repin.
Mali, Olli, author.; Neittaanmäki, P. (Pekka), author.; Repin, Sergey I., author.
2014
QA297
Available Online

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Title Accuracy verification methods [electronic resource] : theory and algorithms / Olli Mali, Pekka Neittaanmäki, Sergey Repin.
Author Mali, Olli, author.
ISBN 9789400775817 electronic book
9400775814 electronic book
9789400775800
DOI https://doi.org/10.1007/978-94-007-7581-7
Published Dordrecht : Springer, 2014.
Language English
Description 1 online resource (xiii, 355 pages) : illustrations.
Item Number 10.1007/978-94-007-7581-7 doi
Call Number QA297
Dewey Decimal Classification 518
Summary 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.
Bibliography, etc. Note Includes bibliographical references and idnex.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from PDF title page (SpringerLink, viewed October 28, 2013).
Added Author Neittaanmäki, P. (Pekka), author.
Repin, Sergey I., author.
Series Computational methods in applied sciences (Springer (Firm)) ; v.32. 1871-3033
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Errors Arising In Computer Simulation Methods
Indicators of errors for approximate solution of differential equations
Guaranteed error bounds I
Guaranteed error bounds II
Errors generated by Uncertain data
Overview of other results and open problems.

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