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math.NA2023★ 1 cited
GPU acceleration of the Seven-League Scheme for large time step simulations of stochastic differential equations
Shuaiqiang Liu, Graziana Colonna, Lech A. Grzelak +1
Monte Carlo simulation is widely used to numerically solve stochastic differential equations. Although the method is flexible and easy to implement, it may be slow to converge. Mor…
math.NA2020★ 2 cited
The Seven-League Scheme: Deep learning for large time step Monte Carlo simulations of stochastic differential equations
Shuaiqiang Liu, Lech A. Grzelak, Cornelis W. Oosterlee
We propose an accurate data-driven numerical scheme to solve Stochastic Differential Equations (SDEs), by taking large time steps. The SDE discretization is built up by means of a…