Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	März 2019
Genre:	Naturwissensch., Medizin, Technik
	B / Characterization and Analytical Technique / Characterization and Evaluation of Materials / Computational Science and Engineering / Computer mathematics / Coupled multi-field equations / engineering / implicit / Integro-differential equations / Materials science / Maths for scientists / Mechanics / Mechanics, Applied / multi-field equations / Numerische Mathematik / Peridynamic least square minimization / Solid Mechanics / Testing of materials / Weak form of peridynamics / Werkstoffprüfung mehr...
ISBN:	9783030026462
EAN-Code:	9783030026462
Verlag:	Springer EN
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 235 mm / B 155 mm / D 25 mm
Gewicht:	612 gr
Seiten:	282
Illustration:	XI, 282 p. 163 illus., 137 illus. in color., farbige Illustrationen, schwarz-weiss Illustrationen
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.