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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, allowing for a drift term with super-linear growth in the state component. We propose Milstein schemes for a time-discretized interacting particle system associated wit...

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Pubblicato in:Proc Math Phys Eng Sci
Autori principali: Bao, Jianhai, Reisinger, Christoph, Ren, Panpan, Stockinger, Wolfgang
Natura: Artigo
Lingua:Inglês
Pubblicazione: The Royal Society Publishing 2021
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Accesso online:https://ncbi.nlm.nih.gov/pmc/articles/PMC7897642/
https://ncbi.nlm.nih.gov/pubmed/33642922
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2020.0258
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