MULTILEVEL MONTE CARLO EM SCHEME FOR MV-SDES WITH SMALL NOISE

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作者
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机构
来源
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2024年 / 14卷 / 04期
关键词
Multilevel Monte Carlo; McKean-Vlasov stochastic differential equations; small noise; Euler-Maruyama scheme; variance of coupled paths;
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we estimate the variance of two coupled paths derived with the Multilevel Monte Carlo method combined with the Euler Maruyama discretization scheme for the simulation of McKean-Vlasov stochastic differential equations with small noise. The result often translates into a more efficient method than the standard Monte Carlo method combined with algorithms tailored to the small noise setting.
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页码:748 / 777
页数:30
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