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Cookie akzeptierenErdogan Madenci / Mehmet Dorduncu / Atila Barut
Peridynamic Differential Operator for Numerical Analysis
- Springer International Publishing
- 2019
- Gebunden
- 296 Seiten
- ISBN 9783030026462
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
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