Polynomial Chaos Expansions for Random Ordinary Differential Equations Public Deposited

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  • 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.
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  • description.provenance : Made available in DSpace on 2012-01-11T16:09:38Z (GMT). No. of bitstreams: 1Polynomial Chaos Expansions for Random Ordinary Differentail Equations.pdf: 713995 bytes, checksum: 7b5422e02055304d0586a5a0d735f586 (MD5) Previous issue date: 2012-01-06
  • description.provenance : Approved for entry into archive by Vrushali Bokil(bokilv@math.oregonstate.edu) on 2012-01-11T16:09:38Z (GMT) No. of bitstreams: 1Polynomial Chaos Expansions for Random Ordinary Differentail Equations.pdf: 713995 bytes, checksum: 7b5422e02055304d0586a5a0d735f586 (MD5)
  • description.provenance : Submitted by Kevin Campbell (kevin.campbell@oregonstate.edu) on 2012-01-11T15:13:26ZNo. of bitstreams: 1Polynomial Chaos Expansions for Random Ordinary Differentail Equations.pdf: 713995 bytes, checksum: 7b5422e02055304d0586a5a0d735f586 (MD5)

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