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Accuracy Verification Methods: Theory and Algorithms
Hardcover
Series: Computational Methods in Applied Sciences, Book 32
General ComputersGeneral MathematicsProgramming
ISBN13: 9789400775800
Publisher: Springer
Published: Nov 11 2013
Pages: 355
Weight: 1.53
Height: 0.88 Width: 6.14 Depth: 9.21
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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