In technologically computer-aided design, the demand for a refined modelling yields the numerical simulation of coupled systems. Often the dynamics of these systems can be described as initial value problems of ordinary differential equations, which are characterised by largely varying time constants. A natural approach is to use multirate integration schemes which integrate the subsystems by their inherent step size. The realisation of the couplings of these subsystems, however done, is the crucial point. To begin, we give a short survey on multirate behaviour and its possible numerical exploitation in one-step-schemes. Based on the conception of generalised multirate, we classify multirate methods by the means, which compute the coupling terms for the internal stages: On one hand, extra/interpolation, on the other hand, the incremental formulation, which yields a genuine one-step-method. For the latter approach, we discuss the multirate W-method as an example and give finally test results for a multirate version of Prothero-Robinson's equation and the Inverter-Chain. [References: 21]
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