SIAM Journal on Numerical Analysis, Vol. 46, No. 5 (2008), pp. 2443-2468 (26 pages) The bidomain model is a system of partial differential equations used to model the propagation of electrical ...

A class of methods, comprising combinations of explicit and implicit methods, for solving systems of conservation laws in one space dimension is developed. The explicit methods of McGuire and Morris ...

The IMEX schemes apply the implicit temporal method to only a small portion of the domain and use explicit calculations elsewhere, based on a convenient splitting algorithm. IMEX methods effectively ...