Accuracy Verification Methods

Theory and Algorithms

Nonfiction, Computers, Advanced Computing, Computer Science, General Computing, Programming
Cover of the book Accuracy Verification Methods by Sergey Repin, Olli Mali, Pekka Neittaanmäki, Springer Netherlands
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Author: Sergey Repin, Olli Mali, Pekka Neittaanmäki ISBN: 9789400775817
Publisher: Springer Netherlands Publication: October 27, 2013
Imprint: Springer Language: English
Author: Sergey Repin, Olli Mali, Pekka Neittaanmäki
ISBN: 9789400775817
Publisher: Springer Netherlands
Publication: October 27, 2013
Imprint: Springer
Language: English

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.

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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.

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