Efficient and practical implementations of cubature on wiener space

This paper explores and implements high-order numerical schemes for integrating linear parabolic partial differential equations with piece-wise smooth boundary data. The high-order Monte-Carlo methods we present give extremely accurate approximations in computation times that we believe are comparab...

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Bibliographic Details
Main Authors: Gyurkó, L, Lyons, T
Format: Book section
Published: Springer Berlin Heidelberg 2011