… modern computational methods has yet to be exploited for the solution of the bidomain model.
This paper reviews the development of numerical methods for solving the bidomain model…

… The Numerical Algorithm We describe only the numerical algorithm for the bidomain
equations: the algorithm is analogous for the monodomain equations. We begin by describing the …

… The Numerical Method … algorithm that may be used to solve the bidomain equations
numerically. We begin by writing down the bidomain equations, and the semi-implicit algorithm on …

… This paper analyzed solving the bidomain equations using various methods and
techniques. First, the equations were recast into a decoupled form with parabolic and elliptic …

… In Section 2, we fix notation and establish … the bidomain equation as an equation of u only
as in (1.5). We then linearize the bidomain Allen-Cahn model around the planar front solution. …

… This is done by demonstrating numerically that an extremely … adaptive numerical method
for solving the bidomain equations … Although we consider only the bidomain model here, the …

… Since gearing up to the bidomain model is something that … require a rethinking of the
numerical algorithms used, it seems … method for numerical simulation of the bidomain equations. …

… how the bidomain equations can be approximated in an optimal manner by the solution of a
… is that this optimal solution can be computed without solving the bidomain model itself. The …

… This implies that it is very important to apply order optimal methods. We introduced such
a method for the bidomain equations in Reference [5], but there we only provided numerical …

… Next we present the time discretization for the bidomain equations using a three-step
operator splitting scheme that involves the solution of the parabolic PDE (Eq. (9)), the elliptic …