Eventshttp://www.cam.cornell.eduEventsSat, 24 Feb 2018 20:22:11 -0500CAM Colloquium: Philippe Sosoe (Mathematics, Cornell University) - Dispersive Equations with Random Initial DataAbstract: Beginning the 1980s, there has been interest in considering certain classical nonlinear equations, such as nonlinear Schroedinger, Korteweg de Vries and wave equations, with random initial data. I will explain the motivation for this setting, describe some of the results obtained by using probabilistic methods for dispersive nonlinear equations, and finish by describing some recent and ongoing work by myself and collaborators on the subject. Bio: I graduated from McGill University in Montreal in 2009 with a BSc in Mathematics. I obtained my PhD in Mathematics in 2014 under Michael Aizenman at Princeton, where I worked on random matrices and percolation models. This was followed by a three-year postdoctoral position at Harvard's (then) new Center for Mathematical Sciences and Applications in H.T. Yau's group. I joined the faculty at Cornell in August, 2017.http://www.cam.cornell.edu/news/colloquium.cfm?event=18259
http://www.cam.cornell.edu/news/colloquium.cfm?event=18259
Fri, 02 Mar 2018 15:30:00 -0500CAM Colloquium: Peter Frazier (ORIE, Cornell University)Visit Days - talk TBDhttp://www.cam.cornell.edu/news/colloquium.cfm?event=18379
http://www.cam.cornell.edu/news/colloquium.cfm?event=18379
Fri, 09 Mar 2018 15:30:00 -0500CAM Colloquium: TBDTalk TBDhttp://www.cam.cornell.edu/news/colloquium.cfm?event=18378
http://www.cam.cornell.edu/news/colloquium.cfm?event=18378
Fri, 16 Mar 2018 15:30:00 -0500CAM Colloquium: Persi Diaconis (Stanford University) - Shuffling cards and adding numbersAbstract: When numbers are added in the usual way, carries occur. It is natural to ask for typical numbers how many carries there are there and how they are distributed. It turns out that they form a Markov chain with an amazing transition matrix. This same matrix turns up in the analysis of the usual method of shuffling cards (seven shuffles suffice), in taking sections of generating functions, and elsewhere. I will explain all this in "English." The results show that interesting math can be found anywhere and that this math can illuminate even humdrum problems like adding numbers and shuffling cards. Bio: Persi Diaconis is a mathematician and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University and is particularly known for tackling mathematical problems involving randomness and randomization, such as coin flipping and shuffling playing cards. He received a MacArthur Fellowship in 1982.http://www.cam.cornell.edu/news/colloquium.cfm?event=18405
http://www.cam.cornell.edu/news/colloquium.cfm?event=18405
Fri, 23 Mar 2018 15:30:00 -0500CAM Colloquium: No Colloquium - Spring BreakNo Colloquium talk due to Spring Break.http://www.cam.cornell.edu/news/colloquium.cfm?event=18376
http://www.cam.cornell.edu/news/colloquium.cfm?event=18376
Fri, 30 Mar 2018 15:30:00 -0500CAM Colloquium: No Colloquium - Spring BreakNo Colloquium talk due to Spring Break.http://www.cam.cornell.edu/news/colloquium.cfm?event=18381
http://www.cam.cornell.edu/news/colloquium.cfm?event=18381
Fri, 06 Apr 2018 15:30:00 -0500CAM Colloquium: Chi-Wang Shu (Brown University) - Bound-preserving high order schemes for hyperbolic equations: survey and recent developmentsAbstract: Solutions to many hyperbolic equations have convex invariant regions, for example solutions to scalar conservation laws satisfy maximum principle, solutions to compressible Euler equations satisfy positivity-preserving property for density and internal energy, etc. It is, however, a challenge to design schemes whose solutions also honor such invariant regions. This is especially the case for high order accurate schemes. In this talk, we will first survey strategies in the literature to design high order bound-preserving schemes, including the general framework in constructing high order bound-preserving finite volume and discontinuous Galerkin schemes for scalar and systems of hyperbolic equations through a simple scaling limiter and a convex combination argument based on first order bound-preserving building blocks and various flux limiters to design high order bound-preserving finite difference schemes. We will then discuss a few recent developments, including high order bound-preserving schemes for relativistic hydrodynamics, high order discontinuous Galerkin Lagrangian schemes, high order discontinuous Galerkin methods for radiative transfer equations, and implicit bound-preserving schemes. Numerical tests demonstrating the good performance of these schemes will be reported. Bio: Chi-Wang Shu obtained his BS degree from the University of Science and Technology of China in 1982 and his PhD degree from the University of California at Los Angeles in 1986. He came to Brown University as an Assistant Professor in 1987, moving up to Associate Professor in 1992 and Full Professor in 1996. He was the Chair of the Division of Applied Mathematics between 1999 and 2005 and is now the Theodore B. Stowell University Professor of Applied Mathematics. His research interest includes high order finite difference, finite element and spectral methods for solving hyperbolic and other convection dominated partial differential equations, with applications to areas such as computational fluid dynamics, semi-conductor device simulations and computational cosmology. He served as the Managing Editor of Mathematics of Computation between 2002 and 2012, is now the the Chief Editor of Journal of Scientific Computing and serves in the editorial boards of several other journals. His honors include the First Feng Kang Prize of Scientific Computing in 1995 and the SIAM/ACM Prize in Computational Science and Engineering in 2007. He is a SIAM Fellow and an AMS Fellow, and an invited speaker at the International Congress of Mathematicians at Seoul in 2014.http://www.cam.cornell.edu/news/colloquium.cfm?event=18372
http://www.cam.cornell.edu/news/colloquium.cfm?event=18372
Fri, 13 Apr 2018 15:30:00 -0500