Handbook of fractional calculus with applications. Volume 3, Numerical methods / George Em Karniadakis (ed.)

Format:

Book

Contributor:

Karniadakis, George, Editor.

Series:

De Gruyter reference.

De Gruyter reference

Language:

English

Subjects (All):

Numerical analysis.

Fractional calculus.

Physical Description:

1 online resource (x, 349 pages) : illustrations.

Other Title:

Numerical methods

Place of Publication:

Berlin ; Boston : De Gruyter, [2019]

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

Preface

Contents

Fundamental approaches for the numerical handling of fractional operators and time-fractional differential equations

Time-fractional derivatives

High-order finite difference methods for fractional partial differential equations

Spectral methods for some kinds of fractional differential equations

Spectral methods for fractional differential equations using generalized Jacobi functions

Spectral and spectral element methods for fractional advection-diffusion-reaction equations

Discontinuous Galerkin and finite element methods

Numerical methods for time-space fractional partial differential equations

Comparison of two radial basis collocation methods for Poisson problems with fractional Laplacian

Particle tracking solutions of vector fractional differential equations: A review

Singularities

Fast numerical methods for space-fractional partial differential equations

Fast methods for the computation of the Mittag-Leffler function

Index

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)

Other Format:

Print version:

ISBN:

3-11-057168-4

3-11-057106-4

9783110571684

9783110571066

OCLC:

1100436417