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  • January 17, 2020

        DMS colloquium talk by Kui Ren (Columbia University) 

  • January 31, 2020: ***TALK CANCELLED***

       Jialin Hong
       Institute of Computational Mathematics, Chinese Academy of Sciences
       
       Location and time: Parker Hall 328, 2:00 pm - 3:00 pm
       Title: Symplectic Numerical Methods for Stochastic Hamiltonian Systems via Large Deviation Principle

        Abstract: The phase flow of stochastic Hamiltonian systems preserves the symplectic structure on phase space. A numerical methods applied to stochastic Hamiltonian systems is called symplectic if it inherits this preservation. The symplectic numerical method is superior to non-symplectic one in the long time numerical computation for stochastic Hamiltonian systems. In this talk we first introduce symplectic numerical methods for stochastic Hamiltonian systems and review some fundamental results, then take a stochastic oscillator as the test model to investigate the probabilistic behavior of symplectic numerical methods via large deviation principle.

  • February 21, 2020

        Haomin Zhou
       School of Mathematics, Georgia Institute of Technology

       Location and time: Parker Hall 328, 2:00 pm - 3:00 pm  
        Title: Optimal Transport on Graphs and Wasserstein Hamiltonian Flow

       Abstract: Optimal transport theory in continuous space has been extensively studied in the past few decades. In this talk, I will present some properties of the optimal transport theory on discrete spaces, highlighting its connections to numerical schemes of PDEs. Particular attention will be given to the Fokker-Planck equation, as well as Wasserstein Hamiltonian Flow. 

  • March 6, 2020

        Xuemin Tu
       Department of Mathematics, University of Kansas
   
       Location and time: Parker Hall 328, 2:00 pm - 3:00 pm
       Title:  Nonoverlapping Domain Decomposition Methods for Saddle Point Problems

       Abstract: FETI-DP and BDDC these two most popular nonoverlapping domain decomposition algorithms will be discussed for solving a class of saddle point problems arising from mixed finite element discretizations of incompressible Stokes and Darcy flow. These algorithms reduce the original saddle point problems to symmetric positive definite problems in a special subspace and therefore the conjugate gradient methods can be used to accelerate the convergence. The condition numbers for the preconditioned systems are estimated and numerical results are provided to confirm the results.

  • March 20, 2020: ***TALK CANCELLED***

        Erkan Nane
       Department of Mathematics and Statistics, Auburn University 

  • April 3, 2020: ***TALK CANCELLED***

       DMS colloquium talk by Ivan Yotov (University of Pittsburgh) 

  • April 10, 2020: ***TALK CANCELLED***

        Dun Zhou
       Department of Mathematics, Nanjing University of Science and Technology

  • April 17, 2020: ***TALK CANCELLED***

        Xu Yang
       Department of Mathematics, University of California, Santa Barbara

  • April 24, 2020: ***TALK CANCELLED***
        Shuwen Xue
       Department of Mathematics and Statistics, Auburn University





Thi-Thao-Phuong Hoang, Auburn University