The application of control theory to the numerical solution of ordinary differential equations

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dc.contributor.committeeChairMartin, Clyde F.
dc.contributor.committeeMemberSeshaiyer, Padmanabhan
dc.contributor.committeeMemberSun, Shan
dc.creatorHolder, Daniel
dc.date.accessioned2016-11-14T23:15:32Z
dc.date.available2011-02-18T22:12:17Z
dc.date.available2016-11-14T23:15:32Z
dc.date.issued2006-05
dc.degree.departmentMathematicsen_US
dc.description.abstractThere exist many methods for the numerical solution of Ordinary Differential Equations. Euler, Taylor and Runge-Kutta are examples of one-step methods. Adams-Bashforth and Adams-Moulton are examples of multi-step methods. All methods approach the solution of the differential equation at different rates and their associated error, or distance from the solution, is of different order. We desire to apply control theory concepts, such as feedback, in order to minimize the error of the numerical solution.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/17760en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectAdams-Bashforth
dc.subjectEuler's method
dc.subjectOrdinary differential equations
dc.titleThe application of control theory to the numerical solution of ordinary differential equations
dc.typeThesis

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