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Model Reduction for Nanoscale Stick-Slip Friction Using Proper Orthogonal Decomposition

dc.contributor.advisorShapiro, Benjaminen_US
dc.contributor.authorO'Connor, Kristin Hadleyen_US
dc.date.accessioned2007-02-28T06:31:00Z
dc.date.available2007-02-28T06:31:00Z
dc.date.issued2006-12-14en_US
dc.identifier.urihttp://hdl.handle.net/1903/4310
dc.description.abstractAdvances in computing hardware and algorithms have led to molecular dynamical models being able to model more realist cases. In this paper, we focus on a special case of molecular dynamics as a starting example. The molecular dynamical simulations that model slip-stick friction are often very large and complex, requiring a great deal of computational resources and time to run. In this paper, proper orthogonal decomposition (POD), a model reduction technique that has been successfully applied to a number of different application areas, is applied to the nanoscale slip-stick friction problem. The standard POD approach, and a modified version of the POD technique that is particularly aimed at the stick-slip problem, are presented.en_US
dc.format.extent1089783 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleModel Reduction for Nanoscale Stick-Slip Friction Using Proper Orthogonal Decompositionen_US
dc.typeThesisen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentApplied Mathematics and Scientific Computationen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pquncontrolledModel Reductionen_US
dc.subject.pquncontrolledMolecular Frictionen_US


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