Continuation Method on Cumulant Neglect Equations

dc.contributor.author	Perkins, Edmon
dc.contributor.author	Fitzgerald, Tim
dc.date.accessioned	2019-02-28T11:12:01Z
dc.date.available	2019-02-28T11:12:01Z
dc.date.copyright	7/26/2018 12:00:00 AM
dc.date.issued	2018
dc.identifier.issn	1555-1415
dc.identifier.other	cnd_013_09_090913.pdf
dc.identifier.uri	http://yetl.yabesh.ir/yetl1/handle/yetl/4253749
dc.description.abstract	For stochastic systems, the Fokker–Planck equation (FPE) is used to describe the system dynamics. The FPE is a partial differential equation, which is a function of all the variables in state space and of time. To solve the FPE, several methods are used, including finite elements, moment neglect methods, and cumulant neglect methods. This paper will study the cumulant neglect equations, which are derived from the FPE. It will be shown that the cumulant neglect method, while being a useful and popular tool for studying the system response, introduces several nonphysical artifacts.
dc.publisher	The American Society of Mechanical Engineers (ASME)
dc.title	Continuation Method on Cumulant Neglect Equations
dc.type	Journal Paper
dc.journal.volume	13
dc.journal.issue	9
dc.journal.title	Journal of Computational and Nonlinear Dynamics
dc.identifier.doi	10.1115/1.4038895
dc.journal.fristpage	90913
dc.journal.lastpage	090913-3
dc.tree	Journal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 009
dc.contenttype	Fulltext