000			03622nam a22004335i 4500
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710	2		_aSpringerLink (Online service) _9106996
999			_c110432 _d110432 _x1
001			110432
003			ES-MaUEC
005			20230102113420.0
008			190117s2019 gw a o |||| 0|eng d
020			_a9783030026479
024	7		_a10.1007/978-3-030-02647-9 _2doi
040			_bspa _dES-MaUEC _cES-MaUEC
050		4	_aQA329 2019 EB
090		4	_aTA349-359
100	1		_aMadenci, Erdogan _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9670124
245	1	0	_aPeridynamic Differential Operator for Numerical Analysis _cby Erdogan Madenci, Atila Barut, Mehmet Dorduncu.
264		1	_aCham _bSpringer International Publishing : _bImprint: Springer _c2019.
300			_a1 recurso en línea (XI, 282 páginas) _b163 ilustraciones, 137 ilustraciones a color
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aEngineering (Springer-11647)
505	0		_a1 Introduction -- 2 Peridynamic Differential Operator -- 3 Numerical Implementation -- 4 Interpolation, Regression and Smoothing -- 5 Ordinary Differential Equations -- 6 Partial Differential Equations -- 7 Coupled Field Equations -- 8 Integro-Differential Equations -- 9 Weak Form of Peridynamics -- 10 Peridynamic Least Squares Minimization.
520	3		_aThis 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.
988			_aPrimersemestre_2019_Engineering
650		7	_2embne _aOperadores, Teoría de _9670824
650		7	_2embne _aAnálisis numérico _9405025
700	1		_aBarut, Atila. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aDorduncu, Mehmet. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
776	0	8	_iPrinted edition: _z9783030026462
776	0	8	_iPrinted edition: _z9783030026486
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-02647-9 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_aSI _cm _dz _feng _ggw _h0 _b07/2019 _ejf _zSI