This post is about methods for solving ODEs (Ordinary Differential Equations) and about such methods used particularly in GENESIS, the ancestor of MOOSE (Multiscale Object-Oriented Simulation Environment), for neuronal modeling.
Before we discuss the methods themselves, there's a need for mentioning stiffness. We consider an ODE stiff if it has abrupt transitions in it, like an action potential. Basically stiffness measures the difficulty of solving an ODE numerically.
Stiff systems
