Peridynamic Differential Operator for Numerical Analysis

By (author)Erdogan Madenci

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.

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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.

Weight 1 kg
Dimensions 24 × 16 × 2 cm
Book Author

Erdogan Madenci

Edition

1st

Format

Hardback

ISBN

9783030026462

Language

English

Pages

282

Publication Year

Publisher

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