Numerical method

Wednesday, March 14, 2018 - 4:00pm - 4:25pm
Adam Stinchcombe (University of Toronto)
The Poisson-Nernst-Planck (PNP) equations can be used to describe cellular electrical activity. However, on domains where the space-charge layer is small, these equations are intractable and therefore it is useful to assume that the ionic solution is everywhere electrically neutral. The much more manageable electroneutral model results from a boundary layer analysis of the PNP equations.
Thursday, March 14, 2013 - 4:30pm - 5:00pm
Ian Grooms (Courant Institute of Mathematical Sciences)
Superparameterization is a multiscale numerical method that models the impacts of unresolved subgridscale dynamics on resolved large scales by embedding high-resolution, periodic simulations of fine-scale phenomena into the computational grid of a large-scale model. The conventional framework for superparameterization is computationally demanding, and fails to capture certain small-scale instabilities like baroclinic instability.
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