Accuracy verification methods [electronic resource] : theory and algorithms / Olli Mali, Pekka Neittaanmäki, Sergey Repin.
2014
QA297
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Title
Accuracy verification methods [electronic resource] : theory and algorithms / Olli Mali, Pekka Neittaanmäki, Sergey Repin.
Author
ISBN
9789400775817 electronic book
9400775814 electronic book
9789400775800
9400775814 electronic book
9789400775800
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).
Series
Computational methods in applied sciences (Springer (Firm)) ; v.32. 1871-3033
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Table of Contents
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.
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.