Seminars

Eduardo Corona, Department of Applied Mathematics, University of Colorado Boulder A crash course in boundary integral methods with applications to Stokesian suspensions Boundary integral methods consist on re-formulating PDE boundary value problems in terms of integral operators. If this integral formulation is chosen carefully, this can reduce the dimensionality of...

Yi Zhu, Department of Mathematical Sciences, Tsinghua University, China Three-fold Weyl points for the periodic Schrödinger operator Weyl points are degenerate points on the spectral bands at which energy bands intersect conically. They are the origins of many novel physical phenomena and have attracted much attention recently. In this talk,...

Nick Barendregt, Department of Applied Mathematics, University of Colorado Boulder Adaptive Decision Rules are Optimal in Simple Environments Decision-making in uncertain environments often requires adaptive forms of evidence accumulation, but less is known about the decision rules needed to achieve optimal performance. While recent studies of decision models in stochastic...

Margaret Cheney, Department of Mathematics at Colorado State University, will talk, "Passive Source Localization" This talk introduces the problem of localizing electromagnetic sources from measurements of their radiated fields at two moving sensors. Two approaches are discussed, the first based on measuring quantities known as “time difference of arrivals“ and...

Patrick Sprenger, Department of Mathematics, North Carolina State University Traveling wave solutions of the Kawahara equation The Kawahara equation is an asymptotic model of weakly nonlinear wave phenomena when third and fifth order dispersion are in balance. The model equation consists of the Korteweg-de Vries equation with an additional fifth-order...

Sabina Altus, Department of Applied Mathematics, University of Colorado Boulder Mobility Informed Regional Modeling of the COVID-19 Pandemic in Colorado The trajectory of the COVID-19 pandemic has varied widely by region, and an understanding of these divergent timelines is of great import to local public health officials, as well as...

Leslie Greengard, Courant Department of Mathematics, New York University Adaptive methods for the simulation of diffusion and fluid flow in complex geometries We will review the state of the art in integral equation methods for the solution of the heat equation and fluid flow in moving geometries. With suitable fast...

Speaker: Dr. Thibault Congy Affiliation: University of Northumbria, Newcastle, UK Title: Dispersive Riemann problem for the Benjamin-Bona-Mahony equation Abstract: The Benjamin-Bona-Mahony (BBM) equation $u_t + uu_x = u_{xxt}$ as a model for unidirectional, weakly nonlinear dispersive shallow water wave propagation is asymptotically equivalent to the celebrated Korteweg-de Vries (KdV) equation...

Justin Cole, Department of Mathematics, University of Colorado Colorado Springs Transverse Instability of Rogue Waves Rogue waves, or “freak waves”, are large amplitude waves that suddenly appear and then disappear. Originally the subject of folklore, these waves have now been successfully observed in numerous physical systems such as deep water...

John Bush, Department of Mathematics, Massachusetts Institute of Technology (MIT) Hydrodynamic quantum analogs In 2005, Yves Couder and Emmanuel Fort discovered that droplets walking on a vibrating fluid bath exhibit several features previously thought to be exclusive to the microscopic, quantum realm. These walking droplets propel themselves by virtue of...