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Volume 3 Numerical Methods
-
Edited by:
George Em Karniadakis
Language:
English
Published/Copyright:
2019
About this book
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This third volume collects authoritative chapters covering several numerical aspects of fractional calculus, including time and space fractional derivatives, finite differences and finite elements, and spectral, meshless, and particle methods.
- A unique, comprehensive overview of fractional calculus and its applications
- With authoritative contributions from the world's leading experts
- Of interest to mathematicians, physicists, and engineers
Author / Editor information
George Em Karniadakis, Brown University, USA.
Topics
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Frontmatter
I -
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Preface
V -
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Contents
IX -
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Fundamental approaches for the numerical handling of fractional operators and time-fractional differential equations
1 -
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Time-fractional derivatives
23 -
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High-order finite difference methods for fractional partial differential equations
49 -
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Spectral methods for some kinds of fractional differential equations
101 -
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Spectral methods for fractional differential equations using generalized Jacobi functions
127 -
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Spectral and spectral element methods for fractional advection–diffusion–reaction equations
157 -
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Discontinuous Galerkin and finite element methods
185 -
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Numerical methods for time-space fractional partial differential equations
209 -
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Comparison of two radial basis collocation methods for Poisson problems with fractional Laplacian
249 -
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Particle tracking solutions of vector fractional differential equations: A review
275 -
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Singularities
287 -
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Fast numerical methods for space-fractional partial differential equations
307 -
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Fast methods for the computation of the Mittag-Leffler function
329 -
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Index
347
Publishing information
Pages and Images/Illustrations in book
eBook published on:
April 15, 2019
eBook ISBN:
9783110571684
Hardcover published on:
April 15, 2019
Hardcover ISBN:
9783110570830
Pages and Images/Illustrations in book
Front matter:
10
Main content:
350
Illustrations:
18
Coloured Illustrations:
28
Tables:
20
Keywords for this book
Gebrochene Analysis
Audience(s) for this book
Researchers and graduate students in mathematics, physics, and engineering.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
