Spectral and spectral element methods for fractional ordinary and partial differential equations / Mohsen Zayernouri, Li-Lian Wang, Jie Shen, George Em Karniadakis.

Format:

Book

Author/Creator:

Zayernouri, Mohsen, author.

Wang, Li-Lian, author.

Shen, Jie, author.

Karniadakis, George, author.

Series:

Cambridge monographs on applied and computational mathematics ; 41.

Cambridge monographs on applied and computational mathematics; 41

Language:

English

Subjects (All):

Fractional differential equations.

Physical Description:

1 online resource (xiv, 726 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2024.

Summary:

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

Notes:

Title from publisher's bibliographic system (viewed on 11 Oct 2024).

ISBN:

9781108856829

1108856829

9781108867160

1108867162

OCLC:

1465034408