| 書目名稱 | Peridynamic Differential Operator for Numerical Analysis | | 編輯 | Erdogan Madenci,Atila Barut,Mehmet Dorduncu | | 視頻video | http://file.papertrans.cn/745/744012/744012.mp4 | | 概述 | Introduces a new computational method to advance the analysis of discrete data and the solutions to field equations of many physical phenomena.Provides access to sample algorithms for researchers and | | 圖書封面 |  | | 描述 | .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 suita | | 出版日期 | Textbook 2019 | | 關(guān)鍵詞 | Peridynamic; Differentiation; nonlocal; transient; nonlinear; discrete; data; recovery; ordinary; differentia | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-02647-9 | | isbn_ebook | 978-3-030-02647-9 | | copyright | Springer Nature Switzerland AG 2019 |
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