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math.NA2022★ 1 cited
An efficient Monte Carlo scheme for Zakai equations
Christian Beck, Sebastian Becker, Patrick Cheridito +2
In this paper we develop a numerical method for efficiently approximating solutions of certain Zakai equations in high dimensions. The key idea is to transform a given Zakai SPDE i…
math.NA2022★ 4 cited
Multilevel Picard approximation algorithm for semilinear partial integro-differential equations and its complexity analysis
Ariel Neufeld, Sizhou Wu
In this paper we introduce a multilevel Picard approximation algorithm for semilinear parabolic partial integro-differential equations (PIDEs). We prove that the numerical approxim…