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Nonlocal Modeling, Analysis, and Computation

2019-03-20 Science
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Release : 2019-03-20
Genre : Science
Kind : eBook
Book Rating : 611/5 ( reviews)

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Book Synopsis Nonlocal Modeling, Analysis, and Computation by : Qiang Du

Download or read book Nonlocal Modeling, Analysis, and Computation written by Qiang Du. This book was released on 2019-03-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models

2023-09-12 Mathematics
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Release : 2023-09-12
Genre : Mathematics
Kind : eBook
Book Rating : 892/5 ( reviews)

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Book Synopsis A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models by : Tadele Mengesha

Download or read book A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models written by Tadele Mengesha. This book was released on 2023-09-12. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers based on plenary and invited talks given at the 50th Barrett Memorial Lectures on Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models that was organized by the University of Tennessee, Knoxville and held virtually in May 2021. The three-day meeting brought together experts from the computational, scientific, engineering, and mathematical communities who work with nonlocal models. These proceedings collect contributions and give a survey of the state of the art in computational practices, mathematical analysis, applications of nonlocal models, and explorations of new application domains. The volume benefits from the mixture of contributions by computational scientists, mathematicians, and application specialists. The content is suitable for graduate students as well as specialists working with nonlocal models and covers topics on fractional PDEs, regularity theory for kinetic equations, approximation theory for fractional diffusion, analysis of nonlocal diffusion model as a bridge between local and fractional PDEs, and more.

75 Years of Mathematics of Computation

2020-07-29 Education
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Release : 2020-07-29
Genre : Education
Kind : eBook
Book Rating : 638/5 ( reviews)

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Book Synopsis 75 Years of Mathematics of Computation by : Susanne C. Brenner

Download or read book 75 Years of Mathematics of Computation written by Susanne C. Brenner. This book was released on 2020-07-29. Available in PDF, EPUB and Kindle. Book excerpt: The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

2019-02-27 Mathematics
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Release : 2019-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 899/5 ( reviews)

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Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Sirakov Boyan

Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan. This book was released on 2019-02-27. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Computational and Mathematical Aspects of Nonlocal Models

2016
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Release : 2016
Genre :
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Book Synopsis Computational and Mathematical Aspects of Nonlocal Models by :

Download or read book Computational and Mathematical Aspects of Nonlocal Models written by . This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:

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