Peridynamic Differential Operator for Numerical Analysis

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 da...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Madenci, Erdogan (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Barut, Atila (http://id.loc.gov/vocabulary/relators/aut), Dorduncu, Mehmet (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03893nam a2200505 4500
001 978-3-030-02647-9
003 DE-He213
005 20191026081231.0
007 cr nn 008mamaa
008 190117s2019 gw | s |||| 0|eng d
020 |a 9783030026479  |9 978-3-030-02647-9 
024 7 |a 10.1007/978-3-030-02647-9  |2 doi 
040 |d GrThAP 
050 4 |a TA349-359 
072 7 |a TGMD  |2 bicssc 
072 7 |a SCI096000  |2 bisacsh 
072 7 |a TGMD  |2 thema 
082 0 4 |a 531  |2 23 
100 1 |a Madenci, Erdogan.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Peridynamic Differential Operator for Numerical Analysis  |h [electronic resource] /  |c by Erdogan Madenci, Atila Barut, Mehmet Dorduncu. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a XI, 282 p. 163 illus., 137 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a 1 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 |a 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. 
650 0 |a Mechanics. 
650 0 |a Mechanics, Applied. 
650 0 |a Materials science. 
650 0 |a Computer mathematics. 
650 1 4 |a Solid Mechanics.  |0 http://scigraph.springernature.com/things/product-market-codes/T15010 
650 2 4 |a Characterization and Evaluation of Materials.  |0 http://scigraph.springernature.com/things/product-market-codes/Z17000 
650 2 4 |a Computational Science and Engineering.  |0 http://scigraph.springernature.com/things/product-market-codes/M14026 
700 1 |a Barut, Atila.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Dorduncu, Mehmet.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783030026462 
776 0 8 |i Printed edition:  |z 9783030026486 
856 4 0 |u https://doi.org/10.1007/978-3-030-02647-9  |z Full Text via HEAL-Link 
912 |a ZDB-2-ENG 
950 |a Engineering (Springer-11647)