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...

Celý popis

Podrobná bibliografie
Hlavní autoři: Giles, M, Reisinger, C
Médium: Journal article
Jazyk:English
Vydáno: 2012