Milstein schemes and antithetic multilevel Monte Carlo sampling for delay McKean–Vlasov equations and interacting particle systems

In this paper, we first derive Milstein schemes for an interacting particle system associated with point delay McKean–Vlasov stochastic differential equations, possibly with a drift term exhibiting super-linear growth in the state component. We prove strong convergence of order one and moment stabil...

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Những tác giả chính: Bao, J, Reisinger, C, Ren, P, Stockinger, W
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: Oxford University Press 2023