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＜電子ブック＞
A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models : Proceedings of the 50th John H. Barrett Memorial Lectures / edited by Tadele Mengesha, Abner J. Salgado
(The IMA Volumes in Mathematics and its Applications. ISSN:21983224 ; 165)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XIII, 321 p. 35 illus., 31 illus. in color : online resource
著者標目	Mengesha, Tadele editor Salgado, Abner J editor SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Differential equations LCSH:Mathematical models FREE:Numerical Analysis FREE:Differential Equations FREE:Mathematical Modeling and Industrial Mathematics
一般注記	CTRW approximations for fractional equations with variable order (Kolokoltsov) -- Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation (Borthagaray) -- Regularity estimates and open problems in kinetic equations (Silvestre) -- An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions (Littlewood) -- Nonlocal diffusion models with consistent local and fractional limits (Du) -- A one-dimensional symmetric force-based blending method for atomistic-to-continuum coupling (Li) -- A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double phase equations (Mengesha) -- An overview of Almost Minimizers of Bernoulli-Type Functionals (Garcia) 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 HTTP:URL=https://doi.org/10.1007/978-3-031-34089-5

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