Number Theory Seminar

High order time-stepping methods for cardiac electrophysiology
Friday, 28 April 2017 - 12:00 pm to 1:00 pm
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Date: April 28, 2017

Time: 12:00-13:00

Place: 585 KED, B015


Speaker: Charlie Douanla Lontsi, INRIA


  The mathematical models used in cardiac electrophysiology are parabolic PDE,

  coupled with systems of ODEs called ionic models. These models

  belong to the class of stiff reaction diffusion equations, where the PDE and ODE are both

  responsible of the stiffness. The PDE displays a diffusion term that is solved

  implicitely while the reaction term coupled with the ODE system is strongly non

  linear and is solved explicitely with order one or two methods. In order to

  increase the accuracy without losing the stability, we will propose new high

  order exponential integrator methods specific to the biophysical context, and

  coherent with our strong understanding of the time scales (stiffness) of the

  models. We will give a convergence theorem of the new method and a

  numerical  study that illustrates its interest for classical models used in

  cardiac electrophysiology