An efficient Monte Carlo scheme for Zakai equations

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 into a PDE with random coefficients. We show that under suitable regularity assumptions on the coefficients of the Zakai...

Full description

Bibliographic Details
Main Authors: Beck, Christian, Becker, Sebastian, Cheridito, Patrick, Jentzen, Arnulf, Neufeld, Ariel
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2024
Subjects:
Online Access:https://hdl.handle.net/10356/174134