Presenter: Andy Wan, Assistant Professor, University of California, Merced   Description: Many models from science and engineering possess fundamental structures which are important to preserve in order for accurate and stable long-term predictions. For instance, preserving conserved quantities, such as energy, mass and momentum, are fundamental in many physical systems. Moreover, preserving dissipative quantities, such as entropy […]

Presenter: Professor Jingmei Qiu, University of Delaware   Description: In this talk, we introduce a sampling-based semi-Lagrangian adaptive rank (SLAR) method, which leverages a cross approximation strategy—also known as CUR or pseudo-skeleton decomposition—to efficiently represent low-rank structures in kinetic solutions. The method dynamically adapts the rank of the solution while ensuring numerical stability through singular value truncation […]

Presenter: Dr. Martha Shott, Department of Mathematics & Statistics, Sonoma State University   Description: Many mathematical models of traffic are macroscopic in nature, meaning that they model the relationship between average speed, density, and flow along a road or freeway segment. One of the fundamental relationships connecting these three quantities is the flow-density relationship, for which various […]