2 papers
math.NA2026
On the performance of the Euler-Maruyama scheme for multidimensional SDEs with discontinuous drift coefficient
Thomas Müller-Gronbach, Christopher Rauhögger, Larisa Yaroslavtseva
We study strong approximation of -dimensional stochastic differential equations (SDEs) with a discontinuous drift coefficient. More precisely, we essentially assume that the dri…
math.PR2026
Sharp lower error bounds for strong approximation of SDEs with a drift coefficient of Hölder or Sobolev regularity using a Weierstraà scale
Simon Ellinger, Thomas Müller-Gronbach, Larisa Yaroslavtseva
We study strong approximation of solutions of SDEs with bounded -Hölder continuous drift coefficient and constant diffusion coefficient at time point . Recently, it was sho…