When
Where
Speaker: Qiang Du, Columbia
Title: Integral models with nonlocal operators: applications and recent developments
Abstract: Recent applications and theoretical developments of integral models using nonlocal operators have shown promise as effective alternatives to local models, especially in the presence of singularities and anomalies. These models also serve as continuum limits for large-scale discrete models used in data learning and network analysis. In this talk, we give an overview of some progress on models involving a finite range of interactions. For problems defined on bounded domains, we discuss various options for modeling nonlocal interactions in the interior and on the boundary. We also present recent advances in the mathematical and numerical analysis of these problems, as well as their applications.