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Parallel multigrid methods for parabolic partial differential equations and applications

Thursday 1st October 2015 - 11:00 to 12:30
INI Seminar Room 2
In the first part of the talk, I will give the audience an overview of a so-called geometric multigrid. I must extend the discussion to include advanced computational techniques for better efficiency, namely adaptive mesh refinements, parallelisation through domain decomposition and adaptive time-stepping.

In the second part, I will describe how do we apply these techniques to mathematical models of partial differential equations. We will have a look at a thin film model of droplet spreading. Then we move on to an optimal control model for whole cell tracking. I will also discuss some robust techniques of greater efficiency for general semi-linear optimal control models. The whole cell tracking is closely related to the cell biology and I hope to end the talk with some discussions to its further practical use.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons