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We modify the freezing method introduced by Beyn & Thuemmler, 2004, foranalyzing rigidly rotating spiral waves in excitable media. The proposed methodis designed to stably determine the rotation frequency and the core radius ofrotating spirals, as well as the approximate shape of spiral waves in unboundeddomains. In particular, we introduce spiral wave boundary conditions based ongeometric approximations of spiral wave solutions by Archimedean spirals and byinvolutes of circles. We further propose a simple implementation of boundaryconditions for the case when the inhibitor is non-diffusive, a case which hadpreviously caused spurious oscillations.  We then utilize the method to numerically analyze the large core limit. Theproposed method allows us to investigate the case close to criticality wherespiral waves acquire infinite core radius and zero rotation frequency, beforethey begin to develop into retracting fingers. We confirm the linear scalingregime of a drift bifurcation for the rotation frequency and the core radius ofspiral wave solutions close to criticality. This regime is unattainable withconventional numerical methods.

The large core limit of spiral waves in excitable media: A numerical approach