Exponential Adams-Bashforth integrators for stiff ODEs, application to cardiac electrophysiology

摘要

Models in cardiac electrophysiology are coupled systems of reaction diffusion PDE and of ODE. The ODE system displays a very stiff behavior. It is nonlinear and its upgrade at each time step is a preponderant load in the computational cost. The issue is to develop high order explicit and stable methods to cope with this situation.