An efficient method for the computation of the Feigenbaum constants to   high precision
  We propose a new practical algorithm for computing the Feigenbaum constants {\alpha} and {\delta}, having significantly lower time and space complexity than previously used methods. The algorithm builds upon well-known linear algebra techniques, and is easily parallelizable. An implementation of it has been developed and used to determine both constants to 10,000 decimal places. 
Andrea Molteni
math.DS math.NA