Polynomial Chaos Expansions for Random Ordinary Differential Equations

Graduate Project

Público Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_projects/f1881m655

Descriptions

Attribute Name	Values
Creator	McKenzie, Brian
Abstract	We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In particular, we consider those with forcing functions that have a random parameter in both the scalar and vector case. We then consider linear systems of ODEs with deterministic forcing and randomness in the matrix of the systems and conclude with a method of approximating solutions to the case where the system involves a nonlinear function of a matrix and a random variable.
Resource Type	Capstone Project
Fecha Disponible	2012-01-11T16:09:38+00:00
Fecha de Emisión	2012-01-06
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2012
Advisor	Gibson, Nathan L.
Committee Member	Bokil, Vrushali Peszynska, Malgorzata
Academic Affiliation	Mathematics
Declaración de derechos	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/26650

Miniatura	Título	Fecha de subida	Visibilidad	Acciones
	Polynomial_Chaos_Expansions_for_Random_Ordinary_Differential_Equations.pdf	2017-07-11	Público	Descargar