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Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations: Series Number 41 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 41) - Hardcover

Mohsen Zayernouri , Li-Lian Wang , Jie Shen , George Em Karniadakis

 
9781108490993: Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations: Series Number 41 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 41)
Hardcover
ISBN 10: 1108490999 ISBN 13: 9781108490993
Publisher: Cambridge University Press, 2024

Synopsis

This comprehensive introduction to global spectral methods 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.

"synopsis" may belong to another edition of this title.

About the Author

This comprehensive introduction to global spectral methods 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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2024
Language
English
ISBN 10 
1108490999
ISBN 13 
9781108490993
Binding
Hardcover
Number of pages
734