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Departmental Colloquia

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​Seminars will usually take place on Fridays,  3:30pm-4:30pm in Gore 104. Consult the schedule for more details

 

 

Christine Bachoc, Universite de Bordeaux, FranceChristine Bachoc, Universite de Bordeaux, France Gore 104Title:Semidefinite programming bounds for the independence number of graphs and hypergraphs, with geometric applications.<br><br>Abstract:The idea of applying semidefinite programming to compute an approximation of the independence number of a graph goes back to the seminal work of Lov\'asz in 1979. In recent years, his ideas have been extended in many directions, in particular to the geometric setting, with the help of tools from harmonic analysis. Great progresses were achieved this way related to several classical problems in geometry such as the kissing number problem, the sphere packing problem, or the chromatic number of metric spaces. In this talk, after explaining the underlying ideas of the method in the context of finite graphs, we will discuss its generalizations and review its geometric applications. 2/23/2018 8:30:00 AM2/23/2018 9:30:00 AMFalse
Chi-Wang Shu, Brown UniversityChi-Wang Shu, Brown UniversityGore 104Title: Discontinuous Galerkin Method for Convection Dominated Partial Differential Equations Abstract: Discontinuous Galerkin (DG) method is a finite element method with features from high resolution finite difference and finite volume schemes such as approximate Riemann solvers and nonlinear limiters. It was originally designed for solving hyperbolic conservation laws but has been generalized later to solve higher order convection dominated partial differential equations (PDEs) such as convection diffusion equations and convection dispersion equations. The DG method has been widely applied, in areas such as computational fluid dynamics, computational electromagnetism, and semiconductor device simulations, just to name a few. In this talk we will give a general survey of the DG method, emphasizing its designing principles and main ingredients. We will also describe some of the recent developments in DG methods.4/6/2018 7:30:00 PM4/6/2018 8:30:00 PMFalse

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