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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zlatev, Zahari
Otros Autores: Dimov, Ivan, Faragó, István, Havasi, Ágnes
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin/Boston : De Gruyter, 2017.
Colección:De Gruyter series in applied and numerical mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Richardson Extrapolation :  |b Practical Aspects and Applications. 
260 |a Berlin/Boston :  |b De Gruyter,  |c 2017. 
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520 |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. 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 
520 |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. 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. 
520 |a The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences. 
505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t 1. The basic properties of Richardson extrapolation --  |t 2. Richardson extrapolation for explicit Runge-Kutta methods --  |t 3. Linear multistep and predictor-corrector methods --  |t 4. Richardson extrapolation for some implicit methods --  |t 5.2 Richardson extrapolation for splitting techniques --  |t 6. Richardson extrapolation for advection problems --  |t 7. Richardson extrapolation for some other problems --  |t 8. General conclusions --  |t References --  |t List of abbreviations --  |t Author index --  |t Subject index. 
546 |a In English. 
504 |a Includes bibliographical references and index. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Differential equations  |x Numerical solutions. 
650 0 |a Differential equations, Partial  |x Numerical solutions. 
650 6 |a Équations différentielles  |x Solutions numériques. 
650 6 |a Équations aux dérivées partielles  |x Solutions numériques. 
650 7 |a MATHEMATICS  |x Numerical Analysis.  |2 bisacsh 
650 7 |a Differential equations  |x Numerical solutions  |2 fast 
650 7 |a Differential equations, Partial  |x Numerical solutions  |2 fast 
700 1 |a Dimov, Ivan. 
700 1 |a Faragó, István. 
700 1 |a Havasi, Ágnes. 
758 |i has work:  |a Richardson extrapolation (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGgK6K9TqrVGpWhpFyjf7b  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Zlatev, Zahari.  |t Richardson Extrapolation : Practical Aspects and Applications.  |d Berlin/Boston : De Gruyter, ©2017  |z 9783110516494 
830 0 |a De Gruyter series in applied and numerical mathematics. 
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