Numerical approximation of a metastable system

Using the Becker-Döring cluster equations as an example, we highlight some of the problems that can arise in the numerical approximation of dynamical systems with slowly varying solutions. We describe the Becker-Döring model, summarize some of its properties and construct a numerical approximation which allows accurate and efficient computation of solutions in the long, slowly varying metastable phase. We use the approximation to obtain test results and discuss the clear relationship between them and equilibrium solutions of the Becker-Döring equations. © 1995 Oxford University Press.