Spectral and spectral element methods for fractional ordinary and partial differential equations:
This comprehensive introduction to global 9781108490993 for fractional differential equations from leaders of this emerging field is designed to be accessible to graduate students and researchers across math, science, and engineering. The book begins by covering the foundational fractional calculus...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2024
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
41 |
| Links: | https://doi.org/10.1017/9781108867160 |
| Zusammenfassung: | This comprehensive introduction to global 9781108490993 for fractional differential equations from leaders of this emerging field is designed to be accessible to graduate students and researchers across math, science, and engineering. The book begins by covering the foundational fractional calculus concepts needed to understand and model anomalous transport phenomena. The authors proceed to introduce a series of new spectral theories and new families of orthogonal and log orthogonal functions, then present corresponding spectral and spectral element methods for fractional differential equations. The book also covers the fractional Laplacian in unbounded and bounded domains and major developments in time-integration of fractional models. It ends by sampling the wide variety of real-world applications of fractional modeling, including concentration transport in surface/subsurface dynamics, complex rheology and material damage, and fluid turbulence and geostrophic transport. |
| Umfang: | 1 Online-Ressource (xiv, 726 Seiten) |
| ISBN: | 9781108867160 |
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| spelling | Zayernouri, Mohsen Spectral and spectral element methods for fractional ordinary and partial differential equations Mohsen Zayernouri, Li-Lian Wang, Jie Shen, George Em Karniadakis Cambridge Cambridge University Press 2024 1 Online-Ressource (xiv, 726 Seiten) txt c cr Cambridge monographs on applied and computational mathematics 41 This comprehensive introduction to global 9781108490993 for fractional differential equations from leaders of this emerging field is designed to be accessible to graduate students and researchers across math, science, and engineering. The book begins by covering the foundational fractional calculus concepts needed to understand and model anomalous transport phenomena. The authors proceed to introduce a series of new spectral theories and new families of orthogonal and log orthogonal functions, then present corresponding spectral and spectral element methods for fractional differential equations. The book also covers the fractional Laplacian in unbounded and bounded domains and major developments in time-integration of fractional models. It ends by sampling the wide variety of real-world applications of fractional modeling, including concentration transport in surface/subsurface dynamics, complex rheology and material damage, and fluid turbulence and geostrophic transport. Karniadakis, George Shen, Jie Wang, Li-Lian Erscheint auch als Druck-Ausgabe 9781108490993 |
| spellingShingle | Zayernouri, Mohsen Spectral and spectral element methods for fractional ordinary and partial differential equations |
| title | Spectral and spectral element methods for fractional ordinary and partial differential equations |
| title_auth | Spectral and spectral element methods for fractional ordinary and partial differential equations |
| title_exact_search | Spectral and spectral element methods for fractional ordinary and partial differential equations |
| title_full | Spectral and spectral element methods for fractional ordinary and partial differential equations Mohsen Zayernouri, Li-Lian Wang, Jie Shen, George Em Karniadakis |
| title_fullStr | Spectral and spectral element methods for fractional ordinary and partial differential equations Mohsen Zayernouri, Li-Lian Wang, Jie Shen, George Em Karniadakis |
| title_full_unstemmed | Spectral and spectral element methods for fractional ordinary and partial differential equations Mohsen Zayernouri, Li-Lian Wang, Jie Shen, George Em Karniadakis |
| title_short | Spectral and spectral element methods for fractional ordinary and partial differential equations |
| title_sort | spectral and spectral element methods for fractional ordinary and partial differential equations |
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