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High Order Integration of Smooth Dynamical Systems: Theory and Numerical Experiments

dc.contributor.authorAustin, Marken_US
dc.date.accessioned2007-05-23T09:48:54Z
dc.date.available2007-05-23T09:48:54Z
dc.date.issued1991en_US
dc.identifier.urihttp://hdl.handle.net/1903/5144
dc.description.abstractThis paper describes a new class of algorithms for integrating linear second order equations, and those containing smooth nonlinearities. The algorithms are based on a combination of ideas from standard Newmark integration methods, and extrapolation techniques. For the algorithm to work, the underlying Newmark method must be stable, second order accurate, and produce asymptotic error expansions for response quantities containing only even ordered terms. It is proved that setting the Newmark parameter t to 1/2 gives a desirable asymptotic expansion, irrespective of the setting for ݮ Numerical experiments are conducted for two linear and two nonlinear applications.en_US
dc.format.extent1388511 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1991-98en_US
dc.subjectalgorithmsen_US
dc.subjectnonlinear systemsen_US
dc.subjectnumerical analysisen_US
dc.subjectextrapolationen_US
dc.subjectdynamicsen_US
dc.subjectIntelligent Servomechanismsen_US
dc.titleHigh Order Integration of Smooth Dynamical Systems: Theory and Numerical Experimentsen_US
dc.typeTechnical Reporten_US
dc.contributor.departmentISRen_US


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