Stochastic finite differences and multilevel Monte Carlo for a class of SPDEs in finance

In this article, we propose a Milstein finite difference scheme for a stochastic partial differential equation (SPDE) describing a large particle system. We show, by means of Fourier analysis, that the discretization on an unbounded domain is convergent of first order in the timestep and second orde...

詳細記述

書誌詳細
主要な著者: Giles, M, Reisinger, C
フォーマット: Journal article
出版事項: SIAM 2012