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Springer Peridynamic Differential Operator for Numerical Analysis: Includes Digital Download

Name: Peridynamic Differential Operator for Numerical Analysis: Includes Digital Download
Brand: Springer
Price: 65.33 GBP
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Computer Science

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Description

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.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3030026469
Category: Books > Subjects > Computing & Internet > Computer Science
Domain: Amazon UK
Release Date: 04 March 2019
Listed Since: 11 September 2018

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Springer Peridynamic Differential Operator for Numerical Analysis: Includes Digital Download

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