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Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations

Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations

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

Cambridge University Press
Publication date : 2024-11-14

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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.

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About the book

Author

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

Imprint

Cambridge University Press

Collection

n.c

Publication date

2024-11-14

Pages

n.c

Print ISBN

9781108490993

Language

English

Ebook informations

EAN PDF

9781108856829

Price

£131.88

Copy count 0

Print count 0

File size 22446 Ko

Informations accessibility

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About author(s)

George Em Karniadakis

Jie Shen

Li-Lian Wang

Mohsen Zayernouri

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