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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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