A New Modification of the Milstein Method and the Taylor-Ito Expansion for Ito Stochastic Differential Equations with Drift and Diffusion Coefficients Having Non-Differentiable or Singular Time-Dependent Multipliers

The article presents a new modification of the Milstein method for systems of Ito stochastic differential equations with drift and diffusion coefficients having differentiable and non-differentiable or singular power-law time-dependent components (the latter depending only on the time variable). By