Please use this identifier to cite or link to this item:
Title: A smoothing Newton method for the boundary-valued ODEs
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.
Appears in Collections:Master's Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
Thesis_2005.pdf350.27 kBAdobe PDF



Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.