The asymptotic error of chaos expansion approximations for stochastic differential equations

In this paper we present a numerical scheme for stochastic differential equations based upon the Wiener chaos expansion. The approximation of a square integrable stochastic differential equation is obtained by cutting off the infinite chaos expansion in chaos order and in number of basis elements. W...

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Bibliographic Details
Main Authors: Tony Huschto, Mark Podolskij, Sebastian Sager
Format: Article
Language:English
Published: VTeX 2019-04-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/19-VMSTA133