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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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Berlin ; Boston
De Gruyter
[2018]
|
| Schriftenreihe: | De Gruyter series in applied and numerical mathematics
Volume 2 |
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UBY01 UPA01 TUM01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Ressource (xvii, 292 Seiten) |
| ISBN: | 9783110531985 9783110533002 |
| DOI: | 10.1515/9783110533002 |
Internformat
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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 | ||
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Datensatz im Suchindex
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| isbn | 9783110531985 9783110533002 |
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| spelling | Richardson extrapolation practical aspects and applications Zahari Zlatev, Ivan Dimov, István Faragó, Ágnes Havasi Berlin ; Boston De Gruyter [2018] © 2018 1 Online-Ressource (xvii, 292 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter series in applied and numerical mathematics Volume 2 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 Differentialgleichung Extrapolation Numerisches Verfahren Operator-Splitting-Verfahren Runge-Kutta-Verfahren Richardson-Extrapolation (DE-588)1146018282 gnd rswk-swf Richardson-Extrapolation (DE-588)1146018282 s 1\p DE-604 Dimov, Ivan 1952- (DE-588)1043787461 aut Faragó, István 1950- (DE-588)1053133243 aut Havasi, Ágnes aut Erscheint auch als Druck-Ausgabe 978-3-11-051649-4 De Gruyter series in applied and numerical mathematics Volume 2 (DE-604)BV044780808 2 https://doi.org/10.1515/9783110533002 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dimov, Ivan 1952- Faragó, István 1950- Havasi, Ágnes Richardson extrapolation practical aspects and applications De Gruyter series in applied and numerical mathematics Differentialgleichung Extrapolation Numerisches Verfahren Operator-Splitting-Verfahren Runge-Kutta-Verfahren Richardson-Extrapolation (DE-588)1146018282 gnd |
| subject_GND | (DE-588)1146018282 |
| title | Richardson extrapolation practical aspects and applications |
| title_auth | Richardson extrapolation practical aspects and applications |
| title_exact_search | Richardson extrapolation practical aspects and applications |
| title_full | Richardson extrapolation practical aspects and applications Zahari Zlatev, Ivan Dimov, István Faragó, Ágnes Havasi |
| title_fullStr | Richardson extrapolation practical aspects and applications Zahari Zlatev, Ivan Dimov, István Faragó, Ágnes Havasi |
| title_full_unstemmed | Richardson extrapolation practical aspects and applications Zahari Zlatev, Ivan Dimov, István Faragó, Ágnes Havasi |
| title_short | Richardson extrapolation |
| title_sort | richardson extrapolation practical aspects and applications |
| title_sub | practical aspects and applications |
| topic | Differentialgleichung Extrapolation Numerisches Verfahren Operator-Splitting-Verfahren Runge-Kutta-Verfahren Richardson-Extrapolation (DE-588)1146018282 gnd |
| topic_facet | Differentialgleichung Extrapolation Numerisches Verfahren Operator-Splitting-Verfahren Runge-Kutta-Verfahren Richardson-Extrapolation |
| url | https://doi.org/10.1515/9783110533002 |
| volume_link | (DE-604)BV044780808 |
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