Peridynamic Differential Operator for Numerical Analysis

Nonfiction, Science & Nature, Technology, Material Science, Science, Physics, Mechanics
Cover of the book Peridynamic Differential Operator for Numerical Analysis by Erdogan Madenci, Atila Barut, Mehmet Dorduncu, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Erdogan Madenci, Atila Barut, Mehmet Dorduncu ISBN: 9783030026479
Publisher: Springer International Publishing Publication: January 17, 2019
Imprint: Springer Language: English
Author: Erdogan Madenci, Atila Barut, Mehmet Dorduncu
ISBN: 9783030026479
Publisher: Springer International Publishing
Publication: January 17, 2019
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Walking Virginia Woolf’s London by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Research Outside The Academy by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Reducing Mortality in Critically Ill Patients by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Reference Architecture for the Telecommunications Industry by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Sensors for Everyday Life by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Cultural Anatomies of the Heart in Aristotle, Augustine, Aquinas, Calvin, and Harvey by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Kenneth Warren and the Great Neglected Diseases of Mankind Programme by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Direction of Time by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Social Network Based Big Data Analysis and Applications by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Poetry and Pedagogy across the Lifespan by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Contemporary Demographic Transformations in China, India and Indonesia by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Image Feature Detectors and Descriptors by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Digital Libraries and Archives by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book Facing Trajectories from School to Work by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
Cover of the book What If We Don't Die? by Erdogan Madenci, Atila Barut, Mehmet Dorduncu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy