Can I read Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations on EtoBox?

Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations by Mohsen Zayernouri, Li-Lian Wang, Jie Shen, George Em Karniadakis is a book available to read on EtoBox.

What is Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations about?

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.

Author

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

Publisher

Cambridge University Press (Virtual Publishing)

Published

2024

Language

EN

ISBN

9781108490993