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|Title:||A smoothing Newton method for the boundary-valued ODEs||Authors:||ZHENG ZHENG||Keywords:||Nonsmooth ODEs, Semismoothness, Differential variational inequalities, Shooting method,Superlinear convergence||Issue Date:||30-Nov-2005||Citation:||ZHENG ZHENG (2005-11-30). A smoothing Newton method for the boundary-valued ODEs. ScholarBank@NUS Repository.||Abstract:||In 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.||URI:||http://scholarbank.nus.edu.sg/handle/10635/14999|
|Appears in Collections:||Master's Theses (Open)|
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