3 papers
math.NA2018
Exponential Adams Bashforth integrators for stiff ODEs, application to cardiac electrophysiology
Yves Coudière, Charlie Douanla Lontsi, Charles Pierre
Models in cardiac electrophysiology are coupled systems of reaction diffusion PDE and of ODE. The ODE system displays a very stiff behavior. It is non linear and its upgrade at eac…
math.NA2018
Efficient high order schemes for stiff ODEs in cardiac electrophysiology
Charlie Douanla Lontsi, Yves Coudière, Charles Pierre
In this work we analyze the resort to high order exponential solvers for stiff ODEs in the context of cardiac electrophysiology modeling. The exponential Adams-Bashforth and the Ru…
math.NA2017
Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology
Yves Coudière, Charlie Douanla Lontsi, Charles Pierre
To address the issues of stability and accuracy for reaction-diffusion equations, the development of high order and stable time-stepping methods is necessary. This is particularly…