First order convergence of Milstein schemes for McKean-Vlasov equations and interacting particle systems

In this paper, we derive fully implementable first order time-stepping schemes for McKean–Vlasov stochastic differential equations (McKean–Vlasov SDEs), allowing for a drift term with super-linear growth in the state component. We propose Milstein schemes for a time-discretised interacting particle...

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Bibliographic Details
Main Authors: Bao, J, Reisinger, C, Ren, P, Stockinger, W
Format: Journal article
Language:English
Published: The Royal Society 2021