Nonlocal modeling, analysis, and computation /

Nonlocal modeling, analysis, and computation /

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Bibliographic Details
Author / Creator:	Du, Qiang, 1964- author.
Imprint:	Philadelphia : Society for Industrial and Applied Mathematics, [2019] ©2019
Description:	xiv, 166 pages : illustrations (chiefly color) ; 26 cm.
Language:	English
Series:	CBMS-NSF regional conference series in applied mathematics ; 94 CBMS-NSF regional conference series in applied mathematics ; 94.
Subject:	Continuum (Mathematics) Mathematical models. Mathematical analysis. Continuum (Mathematics) Mathematical analysis. Mathematical models.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11871887

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Other authors / contributors:	Society for Industrial and Applied Mathematics, publisher.
ISBN:	9781611975611 1611975611
Notes:	Includes bibliographical references (pages 145-163) and index.
Summary:	Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics. A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to traditional local systems represented by partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives to as well as bridges to existing local continuum and discrete models. The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on existing discrete models and local continuum models and the connections between them.
Other form:	Online version: Du, Qiang, 1964- author. Nonlocal modeling, analysis, and computation Philadelphia : Society for Industrial and Applied Mathematics, [2019] 9781611975628

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Call Number:	QA611.28.D8 2019
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