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

Yves Coudière, Charlie Douanla-Lontsi and Charles Pierre

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 153, issue C, 15-34

Abstract: 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.

Keywords: Stiff equations; Explicit high-order multistep methods; Exponential integrators of Adams type; Stability and convergence; Dahlquist stability (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:153:y:2018:i:c:p:15-34

DOI: 10.1016/j.matcom.2018.04.006

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