Joint Colloquium Lecture by Qiang Du

Overview

Title:
Integral models with nonlocal operators: applications and recent development

Abstract:
Recent applications and theoretical developments of models of integral equations 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. We present these models on bounded spatial domains and discuss related modeling, analysis, and computational issues.