Zlatev / Dimov / Faragó Richardson Extrapolation

Practical Aspects and Applications
1. Auflage 2017
ISBN: 978-3-11-053198-5
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 2, 309 Seiten

Reihe: De Gruyter Series in Applied and Numerical Mathematics

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. ContentsThe basic properties of Richardson extrapolationRichardson extrapolation for explicit Runge-Kutta methodsLinear multistep and predictor-corrector methodsRichardson extrapolation for some implicit methodsRichardson extrapolation for splitting techniquesRichardson extrapolation for advection problemsRichardson extrapolation for some other problemsGeneral conclusions

Zielgruppe

Researchers and graduate students in mathematics, physics, and en

Autoren/Hrsg.

Zlatev, Zahari

Dimov, Ivan

Faragó, István

Havasi, Ágnes

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

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