عنوان

Peridynamic differential operator for numerical analysis /

(Number (ISBN

3030026477

(Number (ISBN

9783030026479

Erroneous ISBN

3030026469

Erroneous ISBN

3030026485

Erroneous ISBN

9783030026462

Erroneous ISBN

9783030026486

Title Proper

Peridynamic differential operator for numerical analysis /

General Material Designation

[Book]

First Statement of Responsibility

Erdogan Madenci, Atila Barut, Mehmet Dorduncu.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xi, 282 pages) :

Other Physical Details

illustrations (some color)

Text of Note

Includes bibliographical references and index.

Text of Note

1 Introduction -- 2 Peridynamic Differential Operator -- 3 Numerical Implementation -- 4 Interpolation, Regression and Smoothing -- 5 Ordinary Differential Equations -- 6 Partial Differential Equations -- 7 Coupled Field Equations -- 8 Integro-Differential Equations -- 9 Weak Form of Peridynamics -- 10 Peridynamic Least Squares Minimization.

0

Text of Note

This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data. This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poisson's and Navier's equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization. Peridynamic Differential Operator for Numerical Analysis is suitable for both advanced-level student and researchers, demonstrating how to construct solutions to all of the applications. Provided as supplementary material, solution algorithms for a set of selected applications are available for more details in the numerical implementation.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030026479

International Standard Book Number

9783030026462

International Standard Book Number

9783030026486

Differential operators.

Numerical analysis.

Differential operators.

Numerical analysis.

SCI096000

TGMD

TGMD

Number

Edition

Class number

Madenci, Erdogan

Barut, Atila

Dorduncu, Mehmet

Date of Transaction

20200823074439.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y