Peridynamic Differential Operator for Numerical Analysis

• 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: Mechanics.; Mechanics, Applied.; Materials science.; Computer mathematics.; Solid Mechanics.; Characterization and Evaluation of Materials.; Computational Science and Engineering.

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...

Πίνακας περιεχομένων:

• 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. .