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

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Abhandlungen zur Literaturwissenschaftmulates the coupling as a control problem in which the states are the solutions of the PD and classical equations, the objective is to minimize their mismatch on an overlap of the PD and classical domains, and the controls are virtual volume constraints and boundary conditions applied at the local–n

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Abhandlungen zur Literaturwissenschaftion defined on a bounded domain subject to various conditions that correspond to some inhomogeneous data. We consider their consistency to similar inhomogeneous boundary value problems of classical partial differential equation (PDE) models as the nonlocal interaction kernel gets localized in the lo

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https://doi.org/10.1007/978-3-662-61853-0mmetric and consistent blended force-based atomistic-to-continuum (a/c) scheme for the atomistic chain in one-dimensional space. The conditions for the well-posedness of the underlying model are established by analyzing an optimal blending size and blending type to ensure the . semi-norm stability f

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0940-6573 orking 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..978-3-031-34091-8978-3-031-34089-5Series ISSN 0940-6573 Series E-ISSN 2198-3224

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A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear ModelsProceedings of the 5

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