7 citations · 7 across the 11 of their papers we have counts for
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Analytical properties of Graetz modes in parallel and concentric configurations
Charles Pierre, Franck Plouraboué
The generalized Graetz problem refers to stationary convection-diffusion in uni-directional flows. In this contribution we demonstrate the ana-lyticity of generalized Graetz soluti…
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…
Approximation of the Ventcel problem, numerical results
Charles Pierre, Marc Dambrine
Report on the numerical approximation of the Ventcel problem. The Ventcel problem is a 3D eigenvalue problem involving a surface differential operator on the domain boundary: the L…
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…