Richardson Extrapolation

Practical Aspects and Applications
1. Auflage 2017
ISBN: 978-3-11-051649-4
Verlag: De Gruyter

Buch, Englisch, Band 2, 292 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 707 g

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. 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

Zielgruppe

Researchers and graduate students in mathematics, physics, and en

Autoren/Hrsg.

Zlatev, Zahari

Havasi, Ágnes

Dimov, Ivan

Faragó, István

Fachgebiete

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

Über Autor(innen)

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