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Richardson Extrapolation: Practical Aspects and Applications (De Gruyter Series in Applied and Numerical Mathematics, 2) - Hardcover
Synopsis
The aim of this book is to provide a practical guide for Richardson extrapolation, a numerical procedure which enhances the accuracy of a wide class of numerical methods for ordinary and partial differential equations, and to study several related stability issues. Clear explanations and many examples make this book an easy-to-follow handbook for applied mathematicians, physicists and engineers working with models based on differential equations.
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About the Author
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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- PublisherDe Gruyter
- Publication date2017
- ISBN 10 3110516497
- ISBN 13 9783110516494
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages309
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783110516494
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Richardson Extrapolation
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De Gruyter, De Gruyter Nov 2017, 2017
ISBN 10: 3110516497
ISBN 13: 9783110516494
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 310 pp. Englisch. Seller Inventory # 9783110516494
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