Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/14999
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dc.titleA smoothing Newton method for the boundary-valued ODEs
dc.contributor.authorZHENG ZHENG
dc.date.accessioned2010-04-08T10:49:02Z
dc.date.available2010-04-08T10:49:02Z
dc.date.issued2005-11-30
dc.identifier.citationZHENG ZHENG (2005-11-30). A smoothing Newton method for the boundary-valued ODEs. ScholarBank@NUS Repository.
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/14999
dc.description.abstractIn this thesis, we focus on the Nonsmooth Boundary-valued ODEs, whose righthandfunctions are parameterized by algebraic variables that solve the initial-valuedproblems and the nonsmooth equations. Based on the idea of the initial value techniquesused in traditional ODEs, a smoothing Newton method originated from theQSZ method is applied to the nonmsmooth dynamic systems. Most significantly,we address a reformulation of the nonsmooth ODEs to make them applicable tothe smoothing algorithm and facilitate the convergence analysis. Especially, thedifferential variational inequalities are served as the special case for discussion.
dc.language.isoen
dc.subjectNonsmooth ODEs, Semismoothness, Differential variational inequalities, Shooting method,Superlinear convergence
dc.typeThesis
dc.contributor.departmentMATHEMATICS
dc.contributor.supervisorSUN DEFENG
dc.description.degreeMaster's
dc.description.degreeconferredMASTER OF SCIENCE
dc.identifier.isiutNOT_IN_WOS
Appears in Collections:Master's Theses (Open)

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