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Zlatev, Zahari / Dimov, Ivan / Faragó, István / Havasi, Ágnes

Richardson Extrapolation

Practical Aspects and Applications

Series:De Gruyter Series in Applied and Numerical Mathematics 2

    119,95 € / $137.99 / £98.99*

    eBook (EPUB)
    Publication Date:
    November 2017
    ISBN
    978-3-11-053198-5
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    Overview

    • The first comprehensive treatment of the theory and applications of Richardson extrapolation.
    • Discusses in detail the stability issues of the method.
    • Includes concrete worked out examples and applications.

    Aims and Scope

    Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book.
    Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations.

     

    Contents
    The basic properties of Richardson extrapolation
    Richardson extrapolation for explicit Runge-Kutta methods
    Linear multistep and predictor-corrector methods
    Richardson extrapolation for some implicit methods
    Richardson extrapolation for splitting techniques
    Richardson extrapolation for advection problems
    Richardson extrapolation for some other problems
    General conclusions

    Details

    xvii, 292 pages
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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    Z. Zlatev, Aarhus Univ., Denmark; I. Dimov, Bulgarian Acad. of Sci., Bulgaria; I. Faragó and Á. Havasi, Eötvös Loránd Univ., Hungary.

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