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Finite difference schemes for linear stochastic integro-differential equations

Konstantinos Dareiotis and James-Michael Leahy

Stochastic Processes and their Applications, 2016, vol. 126, issue 10, 3202-3234

Abstract: We study the rate of convergence of an explicit and an implicit–explicit finite difference scheme for linear stochastic integro-differential equations of parabolic type arising in non-linear filtering of jump–diffusion processes. We show that the rate is of order one in space and order one-half in time.

Keywords: Stochastic integro-differential equations; Finite differences; Lévy processes (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1016/j.spa.2016.04.025

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