Overview
- 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 and graduate students in integro-partial differential
Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 165)
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About this book
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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Table of contents (8 chapters)
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Front Matter
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Invited Contributions
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Front Matter
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Back Matter
Editors and Affiliations
About the editors
Tadele Mengesha: Tadele Mengesha is a professor of mathematics at the University of Tennessee, Knoxville. He obtained his PhD in Mathematics in 2007 from Temple University. His main area of research is applied analysis with particular interest in regularity theory for solutions of partial differential and integral equations, asymptotic analysis, and calculus of variations.
Abner J. Salgado: Abner J. Salgado is a professor of mathematics at the University of Tennessee, Knoxville. He obtained his PhD in Mathematics in 2010 from Texas A&M University. His main area of research is the numerical analysis of nonlinear partial differential equations, and related questions.
Abner J. Salgado: Abner J. Salgado is a professor of mathematics at the University of Tennessee, Knoxville. He obtained his PhD in Mathematics in 2010 from Texas A&M University. His main area of research is the numerical analysis of nonlinear partial differential equations, and related questions.
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Bibliographic Information
Book Title: A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models
Book Subtitle: Proceedings of the 50th John H. Barrett Memorial Lectures
Editors: Tadele Mengesha, Abner J. Salgado
Series Title: The IMA Volumes in Mathematics and its Applications
DOI: https://doi.org/10.1007/978-3-031-34089-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-34088-8Published: 12 August 2023
Softcover ISBN: 978-3-031-34091-8Published: 13 August 2024
eBook ISBN: 978-3-031-34089-5Published: 11 August 2023
Series ISSN: 0940-6573
Series E-ISSN: 2198-3224
Edition Number: 1
Number of Pages: XIII, 321
Number of Illustrations: 4 b/w illustrations, 31 illustrations in colour
Topics: Numerical Analysis, Analysis, Mathematical Modeling and Industrial Mathematics