A fairly recent technique is to use perturbation theory to approximate the solution to the complex equation for points near a decently chosen starting point. Th

A fairly recent technique is to use perturbation theory to approximate the solution to the complex equation for points near a decently chosen starting point. The approximation massively reduces the amount of slow big decimal arithmetic needed for deep zooms, while retaining accuracy. Without getting into the actual math being perturbation theory, http://superfractalthing.co.nf/sft_maths.pdf http://superfractalthing.co.nf/sft_maths.pdf is a good start for just dumping some calculations into your fractal viewer to get good results.