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

Zayernouri, Mohsen; Wang, Li-Lian; Shen, Jie

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

Inhaltsangabe

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 book proceeds to introduce a series of new spectral theories and new families of orthogonal and log-orthogonal functions, then presents 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. The book 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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Über die Autorin bzw. den Autor

Mohsen Zayernouri is Associate Professor of Mechanical Engineering and Statistics and Probability at Michigan State University. He is the recipient of two Young Investigator Program (YIP) awards from the US Air Force Office of Scientific Research (AFOSR) and Army Research Office (ARO). He brings to bear advanced computational tools from applied mathematics and data sciences to develop stochastic modeling and predictive simulation tools for challenging physical and engineering problems, including: stochastic Lévy processes in turbulent flows and anomalous transport in multi-scale and disordered bio-materials.

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Verlag
Cambridge University Press
Erscheinungsdatum
2024
Sprache
Englisch
ISBN 10 
1108490999
ISBN 13 
9781108490993
Einband
Gebundene Ausgabe
Anzahl der Seiten
742
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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