عنوان

Peridynamic differential operator for numerical analysis /

شابک

3030026477

شابک

9783030026479

شابک اشتباه

3030026469

شابک اشتباه

3030026485

شابک اشتباه

9783030026462

شابک اشتباه

9783030026486

عنوان اصلي

Peridynamic differential operator for numerical analysis /

نام عام مواد

[Book]

نام نخستين پديدآور

Erdogan Madenci, Atila Barut, Mehmet Dorduncu.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (xi, 282 pages) :

ساير جزييات

illustrations (some color)

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030026479

شماره استاندارد بين المللي کتاب و موسيقي

9783030026462

شماره استاندارد بين المللي کتاب و موسيقي

9783030026486

موضوع مستند نشده

Differential operators.

موضوع مستند نشده

Numerical analysis.

موضوع مستند نشده

Differential operators.

موضوع مستند نشده

Numerical analysis.

موضوع مستند نشده

SCI096000

موضوع مستند نشده

TGMD

موضوع مستند نشده

TGMD

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Madenci, Erdogan

مستند نام اشخاص تاييد نشده

Barut, Atila

مستند نام اشخاص تاييد نشده

Dorduncu, Mehmet

تاريخ عمليات

20200823074439.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y