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Titlebook: A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models; Proceedings of the 5 Tadele Mengesha,Abner J. Salgado Book

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期刊全称A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models
期刊简称Proceedings of the 5
影响因子2023Tadele Mengesha,Abner J. Salgado
视频video
发行地址Presents a thorough overview of latest developments in nonlocal modeling.Includes key contributions by experts in approximation, analysis, and applications of nonlocal models.Suitable for researchers
学科分类The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models; Proceedings of the 5 Tadele Mengesha,Abner J. Salgado Book
影响因子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..
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https://doi.org/10.1007/978-3-662-61853-0e well-posedness of the underlying model are established by analyzing an optimal blending size and blending type to ensure the . semi-norm stability for the blended force-based operator. We present several numerical experiments to test and confirm the theoretical findings.
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A One-Dimensional Symmetric-Force-Based Blending Method for Atomistic-to-Continuum Couplinge well-posedness of the underlying model are established by analyzing an optimal blending size and blending type to ensure the . semi-norm stability for the blended force-based operator. We present several numerical experiments to test and confirm the theoretical findings.
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Book 2023s 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 c
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Geschichte als Vernunftentwicklung2019), and David and Toro (Calc Var 54(1):455–524, 2015) that deal only with the “Laplacian” setting). We prove Lipschitz regularity up to, and across, the free boundary, fully generalizing the results of David and Toro (Calc Var 54(1):455–524, 2015) to the variable coefficient setting.
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Nonlocal Diffusion Models with Consistent Local and Fractional Limitscal . limit, and at the same time, for rescaled fractional-type kernels, to corresponding inhomogeneous nonlocal boundary value problems of fractional equations in the global . limit. Such discussions help to delineate issues related to nonlocal problems defined on a bounded domain with inhomogeneous data.
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