An explicit Milstein-type scheme for interacting particle systems and McKean--Vlasov SDEs with common noise and non-differentiable drift coefficients

We propose an explicit drift-randomised Milstein scheme for both McKean–Vlasov stochastic differential equations and associated high-dimensional interacting particle systems with common noise. By using a drift randomisation step in space and measure, we establish the scheme’s strong convergence rate...

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Bibliografiske detaljer
Main Authors: Biswas, S, Kumar, C, Neelima, Dos Reis, G, Reisinger, C
Format: Journal article
Sprog:English
Udgivet: Institute of Mathematical Statistics 2024