Stochastic analysis of scaling time series: from turbulence theory to applications
Multi-scale systems, involving complex interacting processes that occur over a range of temporal and spatial scales, are present in a broad range of disciplines. Several methodologies exist to retrieve this multi-scale information from a given time series; however, each method has its own limitation...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2015
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| Subjects: | |
| Online Access: | BSB01 UBG01 UER01 FHN01 Volltext |
| Summary: | Multi-scale systems, involving complex interacting processes that occur over a range of temporal and spatial scales, are present in a broad range of disciplines. Several methodologies exist to retrieve this multi-scale information from a given time series; however, each method has its own limitations. This book presents the mathematical theory behind the stochastic analysis of scaling time series, including a general historical introduction to the problem of intermittency in turbulence, as well as how to implement this analysis for a range of different applications. Covering a variety of statistical methods, such as Fourier analysis and wavelet transforms, it provides readers with a thorough understanding of the techniques and when to apply them. New techniques to analyse stochastic processes, including empirical mode decomposition, are also explored. Case studies, in turbulence and ocean sciences, are used to demonstrate how these statistical methods can be applied in practice, for students and researchers |
| Item Description: | Title from publisher's bibliographic system (viewed on 12 Feb 2016) |
| Physical Description: | 1 Online-Ressource (226 Seiten) |
| ISBN: | 9781107705548 |
| DOI: | 10.1017/CBO9781107705548 |
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| institution | BVB |
| isbn | 9781107705548 |
| language | English |
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| spelling | Schmitt, François G. Verfasser aut Stochastic analysis of scaling time series from turbulence theory to applications François G. Schmitt, Yongxiang Huang Cambridge Cambridge University Press 2015 1 Online-Ressource (226 Seiten) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 12 Feb 2016) Multi-scale systems, involving complex interacting processes that occur over a range of temporal and spatial scales, are present in a broad range of disciplines. Several methodologies exist to retrieve this multi-scale information from a given time series; however, each method has its own limitations. This book presents the mathematical theory behind the stochastic analysis of scaling time series, including a general historical introduction to the problem of intermittency in turbulence, as well as how to implement this analysis for a range of different applications. Covering a variety of statistical methods, such as Fourier analysis and wavelet transforms, it provides readers with a thorough understanding of the techniques and when to apply them. New techniques to analyse stochastic processes, including empirical mode decomposition, are also explored. Case studies, in turbulence and ocean sciences, are used to demonstrate how these statistical methods can be applied in practice, for students and researchers Zeitreihenanalyse (DE-588)4067486-1 gnd rswk-swf Turbulenztheorie (DE-588)4186472-4 gnd rswk-swf Turbulenztheorie (DE-588)4186472-4 s Zeitreihenanalyse (DE-588)4067486-1 s 1\p DE-604 Huang, Yongxiang 1982- Verfasser (DE-588)1117813606 aut Erscheint auch als Druckausgabe 978-1-107-06761-5 https://doi.org/10.1017/CBO9781107705548 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schmitt, François G. Huang, Yongxiang 1982- Stochastic analysis of scaling time series from turbulence theory to applications Zeitreihenanalyse (DE-588)4067486-1 gnd Turbulenztheorie (DE-588)4186472-4 gnd |
| subject_GND | (DE-588)4067486-1 (DE-588)4186472-4 |
| title | Stochastic analysis of scaling time series from turbulence theory to applications |
| title_auth | Stochastic analysis of scaling time series from turbulence theory to applications |
| title_exact_search | Stochastic analysis of scaling time series from turbulence theory to applications |
| title_full | Stochastic analysis of scaling time series from turbulence theory to applications François G. Schmitt, Yongxiang Huang |
| title_fullStr | Stochastic analysis of scaling time series from turbulence theory to applications François G. Schmitt, Yongxiang Huang |
| title_full_unstemmed | Stochastic analysis of scaling time series from turbulence theory to applications François G. Schmitt, Yongxiang Huang |
| title_short | Stochastic analysis of scaling time series |
| title_sort | stochastic analysis of scaling time series from turbulence theory to applications |
| title_sub | from turbulence theory to applications |
| topic | Zeitreihenanalyse (DE-588)4067486-1 gnd Turbulenztheorie (DE-588)4186472-4 gnd |
| topic_facet | Zeitreihenanalyse Turbulenztheorie |
| url | https://doi.org/10.1017/CBO9781107705548 |
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