Richardson Extrapolation practical aspects and applications

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...

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Bibliographic Details
Main Author: Zlatev, Zahar
Other Authors: Dimov, Ivan, Faragó, István, Havasi, Ágnes
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2017, ©2018
Series:De Gruyter series in applied and numerical mathematics
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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300 |a XVII, 292 Seiten 
505 0 |a 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 
653 |a Differential equations, Partial / Numerical solutions 
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653 |a Differential equations / Numerical solutions 
653 |a Mathematics / Numerical and Computational Mathematics 
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700 1 |a Faragó, István 
700 1 |a Havasi, Ágnes 
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520 3 |a 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