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Wenjun Ying - Institute of Natural Sciences, Shanghai Jiaotong University
Feb 15, 2018 - 12:50pm to 1:50pm
Department of Applied Mathematics - Seminar - Rettaliata Engineering Center, Room 119
I will present two Cartesian grid based evaluation methods for boundary integrals. The first method uses intersection points of an underlying Cartesian grid with the boundary (curve or surface) as quadrature points. The corresponding numerical quadrature has super-algebraic convergence as long as... read more
Feng Bao - Department of Mathematics, The University of Tennessee at Chattanooga
Feb 14, 2018 - 1:50pm to 2:55pm
Department of Applied Mathematics - Colloquia - Rettaliata Engineering Center, Room 104
We consider a dynamical system modeled by a stochastic differential equation with observational data available for the functional of the system state. The goal of the nonlinear filtering problem is to find the best estimate of the state of the dynamical system based on the observation. Some well-... read more
Andrei Tarfulea - Department of Mathematics, University of Chicago
Feb 13, 2018 - 1:50pm to 2:55pm
Department of Applied Mathematics - Colloquia - Robert A. Pritzker Science Center, Room 240
Understanding the behavior of solutions to physically motivated evolution equations is one of the most important areas of applied analysis. Developing strong bounds and asymptotics are crucial for anticipating the behavior of simulations, simplifying the methods needed to model the physical... read more