Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/136481
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dc.contributor.authorLyu, Xingyuen_US
dc.date.accessioned2019-12-19T02:53:42Z-
dc.date.available2019-12-19T02:53:42Z-
dc.date.issued2019-
dc.identifier.urihttps://hdl.handle.net/10356/136481-
dc.description.abstractThe Malliavin weight sampling method is a way to tracking the dynamics of a stochastic system. In this FYP, we aim to apply this MWS method to a specific stochastic problem. First, we construct a Malliavin weight in a rigorous and precise mathematical way. Then we apply this MWS to Kelvin-Voigt stochastic model with Gaussian random variable to study the dynamic of the system with respect to some parameter in the system. We found that the dynamic of the system can be approximated by MWS method perfectly when time is close to zero and the Malliavin weight deviates from the analytical solution when time becomes larger. Then we verified this result by a numerical approximation by Euler’s explicit finite difference method. This FYP is a supplementary work for existing study on Malliavin sampling method regarding the dynamic of the Malliavin weight, especially in Kelvin-Voigt model.en_US
dc.language.isoenen_US
dc.publisherNanyang Technological Universityen_US
dc.subjectScienceen_US
dc.subjectScience::Mathematics::Probability theoryen_US
dc.titleCalculating the Malliavin derivative of one stochastic mechanics problemen_US
dc.typeFinal Year Project (FYP)en_US
dc.contributor.supervisorNicolas Privaulten_US
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.description.degreeBachelor of Science in Mathematical Sciences and Economicsen_US
dc.contributor.supervisoremailNPRIVAULT@ntu.edu.sgen_US
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Appears in Collections:SPMS Student Reports (FYP/IA/PA/PI)
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