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...

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Bibliographic Details
Main Authors: Giles, M, Reisinger, C
Format: Journal article
Published: SIAM 2012