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Archive : Departmental Colloquia

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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
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
Carl Rees Lectures in Mathematical SciencesCarl Rees Lectures in Mathematical Sciences127 Memorial HallSpeaker: Mike Shelley, Courant Institute <br></br> Title: Active structures and active matter models <br></br> Abstract: Many biological structures, like the mitotic spindle and nucleus within a cell, are self-assembled and only maintained by the activity of its constituents. These aspects of assembly and maintenance of coherent structures by activity are the hallmarks of problems in the field of "active matter", which also encompasses the study of active assemblies like bird flocks and fish schools, and, increasingly, designed and synthesized active fluids and materials. I'll discuss active structures in cellular biophysics, as well as simpler "bio-synthetic" active materials, which are helping us (hopefully!) build the needed mathematical tools to study more complex biological phenomena.11/3/2017 7:30:00 PM11/3/2017 8:30:00 PMFalse
Carl Rees Lectures in Mathematical SciencesCarl Rees Lectures in Mathematical Sciences123 Memorial HallSpeaker: Mike Shelley, Courant Institute <br></br> Title: Computational Methods and Models for Biomechanics Problems in the Cell <br></br> Abstract: Pronuclear centering and spindle positioning is a fundamental dynamics problem in organismal development, and constitutes a very complex fluid- structure interaction problem involving bodies being moved by immersed biopolymers and motor-proteins. I will discuss specialized computational methods, based on singularity and boundary integral methods, we have developed for efficiently studying such problems, as well as coarse- graining methods for evolving suspensions of microtubules. I'll end by discussing open areas and problems. 11/2/2017 7:30:00 PM11/2/2017 8:30:00 PMFalse

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