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IMA/MCIM Industrial Problems Seminar

Dealing with stiffness in low-Mach number flows
Caroline Gatti-Bono (Lawrence Livermore National Laboratory)
October 3, 2008, 1:25pm, 570 Vincent Hall
Video (flv)

Virtual prototyping of hearing aids using numerical modeling and supercomputing
Thomas H. Burns (Lawrence Livermore National Laboratory)
October 17, 2008, 1:25pm, 1:25pm, 570 Vincent Hall

Image registration with applications in medical imaging towards drug discovery and development
Belma Dogdas (Merck Research Labs)
November 14, 2008, 1:25pm, 570 Vincent Hall

The DE Shaw group recruiting event. Contact Person: Elie Yuan
January 23, 2009, 1:25pm, 1:25pm, 570 Vincent Hall

Peridynamics: a case study for the role of an applied mathematician at a national lab
Richard B. Lehoucq (Computational Mathematics and Algorithms Department, Sandia National Laboratories)
February 6, 2009, 1:25pm, 570 Vincent Hall

Simple mathematics in biomedical applications
Viktoria A. Averina (School of Mathematics, University of Minnesota)
February 20, 2009, 1:25pm, 570 Vincent Hall

American option pricing models and obstacle problems
Yongmin Zhang (Capital Market Finance/Wells Fargo)
February 27, 2009, 1:25pm, 570 Vincent Hall
  • April 24, 2009, 1:25pm, 570 Vincent Hall
    Vanessa Lopez (IBM T.J. Watson Research Center)

    Computing invariant solutions of PDEs with symmetries

    Abstract: We consider the problem of numerically computing solutions of evolutionary nonlinear partial differential equations (PDEs) with a finite-dimensional group of symmetries. Specifically, we look for solutions that are fixed by elements of the equations' symmetry group. The latter class includes time-periodic solutions. We work with the complex Ginzburg-Landau equation (CGLE) in one space dimension, which has a 3-parameter group of symmetries generated by space-time translations and a rotation of the (complex) amplitude. The spectral-Galerkin method used to discretize the PDE will be described, along with the approach for solving the resulting system of nonlinear algebraic equations which allowed us to identify multiple new solutions in a chaotic region of the CGLE.

    Due to the relatively small number of unknowns considered (2,000 - 3,000 after discretization), it was possible to use a direct method for linear systems as part of the process for solving the nonlinear system. However, for problems with a large number of unknowns, iterative methods for linear systems are required. We will conclude our talk with a discussion on the use of such methods for solving these types of problems.

  • May 1, 2009, 1:25pm, 570 Vincent Hall
    Paul Rejto (Directory of Computational Biology, Oncology Research Unit, Pfizer)

    Computational challenges in cancer therapeutics
    Video (flv)

    Abstract: Recent advances have dramatically advanced our understanding of cancer at the molecular level. In turn, new therapeutic agents that target specific molecular defects in cancer have been developed, though cancer remains a significant health threat. Following an introduction to the molecular biology of cancer, a statistical approach to distinguish driver mutations from passengers based on non-random clustering will be discussed. Next, approaches to pharmaceutical intervention will be reviewed and an integrated approach to link targeted therapeutics with specific patient populations will be shown. Throughout, open questions will be presented with a focus on problems of potential mathematical interest.