Neuenkirch, Andreas - In: Stochastic Processes and their Applications 118 (2008) 12, pp. 2294-2333
We study the approximation of stochastic differential equations driven by a fractional Brownian motion with Hurst parameter H1/2. For the mean-square error at a single point we derive the optimal rate of convergence that can be achieved by arbitrary approximation methods that are based on an...