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Peridynamic Differential Operator for Numerical Analysis

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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.

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Inventory Code Barcode Call Number Location Status
1908001829EB0002463515.724 2 Mad pCentral LibraryAvailable
Detail Information
Series Title
-
Call Number
515.724 2 Mad p
Publisher
Switzerland : Springer Cham.,
Collation
xi, 282p.:Ill
Language
English
ISBN/ISSN
978-3-030-02647-9
Classification
515.724 2
Content Type
Ebook
Media Type
-
Carrier Type
online resource
Edition
1
Subject(s)
Numerical analysis
Specific Detail Info
-
Statement of Responsibility
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No other version available

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