Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6096
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dc.contributorDepartment of Applied Mathematics-
dc.creatorChen, X-
dc.creatorMahmoud, S-
dc.date.accessioned2014-12-11T08:24:52Z-
dc.date.available2014-12-11T08:24:52Z-
dc.identifier.issn0036-1429 (print)-
dc.identifier.issn1095-7170 (online)-
dc.identifier.urihttp://hdl.handle.net/10397/6096-
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2008 Society for Industrial and Applied Mathematicsen_US
dc.subjectImplicit Runge–Kutta methoden_US
dc.subjectSlanting Newton methoden_US
dc.subjectNonsmooth equationsen_US
dc.subjectOrdinary differential equationen_US
dc.titleImplicit Runge-Kutta methods for Lipschitz continuous ordinary differential equationsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1266-
dc.identifier.epage1280-
dc.identifier.volume46-
dc.identifier.issue3-
dc.identifier.doi10.1137/070688699-
dcterms.abstractImplicit Runge–Kutta (IRK) methods for solving the nonsmooth ordinary differential equation (ODE) involve a system of nonsmooth equations. We show superlinear convergence of the slanting Newton method for solving the system of nonsmooth equations. We prove the slanting differentiability and give a slanting function for the involved function. We develop a new code based on the slanting Newton method and the IRK method for nonsmooth ODEs arising from structural oscillation and pounding. We show that the new code is efficient for solving a nonsmooth ODE model for the collapse of the Tacoma Narrows suspension bridge and simulating 13 different earthquakes.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationSIAM journal on numerical analysis, 2008, v. 46, no. 3, p. 1266–1280-
dcterms.isPartOfSIAM journal on numerical analysis-
dcterms.issued2008-
dc.identifier.isiWOS:000255500400008-
dc.identifier.scopus2-s2.0-55349099897-
dc.identifier.rosgroupidr42359-
dc.description.ros2008-2009 > Academic research: refereed > Publication in refereed journal-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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