Generalized weakly corrected Milstein solutions to stochastic differential equations
Tapas Tripura,
Budhaditya Hazra,
Souvik Chakraborty
Abstract:In this work, weakly corrected explicit, semi-implicit and implicit Milstein approximations are presented for the solution of nonlinear stochastic differential equations. The solution trajectories provided by the Milstein schemes are corrected by employing the change of measures, aimed at removing the error associated with the diffusion process incurred due to the transformation between two probability measures. The change of measures invoked in the Milstein schemes ensure that the solution from the mapping is… Show more
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