Lp-sup convergence of the Euler-Maruyama scheme for SDEs with distributional Besov drift
Preprint, 2026. I prove convergence rates in Lp, for all p ≥ 2, for the Euler-Maruyama scheme applied to one-dimensional Brownian SDEs with drift in a negative-order Besov space. The proof uses the Yamada-Watanabe approximation technique and gives an explicit L1-sup convergence rate.
