Read Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94)

Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94)

Qiang Du

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Description: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 local 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 for as well as bridges to existing 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 traditional models, analytical techniques, and algorithms. Nonlocal Modeling, Analysis, and Computation offers applied mathematicians, computational scientists, researchers, and graduate students an illustration of the broad applicability and rich mathematics of nonlocal models and provides motivation for further investigations.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94). To get started finding Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1611975611

Description: 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 local 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 for as well as bridges to existing 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 traditional models, analytical techniques, and algorithms. Nonlocal Modeling, Analysis, and Computation offers applied mathematicians, computational scientists, researchers, and graduate students an illustration of the broad applicability and rich mathematics of nonlocal models and provides motivation for further investigations.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94). To get started finding Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94)

Nonlocal Modeling, Analysis, and Computation (CBMS-NSF Regional Conference Series in Applied Mathematics 94)

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