Chi-Wang Shu, Brown University | Chi-Wang Shu, Brown University | Gore 104 | Title: 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 PM | 4/6/2018 8:30:00 PM | False | |
Christine Bachoc, Universite de Bordeaux, France | Christine Bachoc, Universite de Bordeaux, France | Gore 104 | Title: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 AM | 2/23/2018 9:30:00 AM | False | |
Carl Rees Lectures in Mathematical Sciences | Carl Rees Lectures in Mathematical Sciences | 127 Memorial Hall | Speaker: 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 PM | 11/3/2017 8:30:00 PM | False | |
Carl Rees Lectures in Mathematical Sciences | Carl Rees Lectures in Mathematical Sciences | 123 Memorial Hall | Speaker: 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 PM | 11/2/2017 8:30:00 PM | False | |
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