The use of optimization techniques in the solution of partial differential equations from science and engineering

dc.contributor.advisorGlowinski, Rolanden_US
dc.contributor.advisorTapia, Richard A.en_US
dc.creatorKearsley, Anthony Joseen_US
dc.date.accessioned2009-06-04T00:14:46Zen_US
dc.date.available2009-06-04T00:14:46Zen_US
dc.date.issued1996en_US
dc.description.abstractOptimal Control of systems governed by Partial Differential Equations is an applications-driven area of mathematics involving the formulation and solution of minimization problems. Given a physical phenomenon described by a differential equation, the Optimal Control Problem (OCP) seeks to force state variables to behave in a particular, desired way. This manipulation of state variables is achieved through the control variables. Many problems arising in applications of science and engineering can fruitfully be viewed and formulated as OCP problems. From the OCP point of view, one sees the structure underlying the optimization problem. In this thesis we will propose and analyze algorithms for the solution of Nonlinear Programming Problems (NLP) designed to exploit the OCP structure.en_US
dc.format.extent160 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 1996 KEARSLEYen_US
dc.identifier.citationKearsley, Anthony Jose. "The use of optimization techniques in the solution of partial differential equations from science and engineering." (1996) Diss., Rice University. <a href="https://hdl.handle.net/1911/16938">https://hdl.handle.net/1911/16938</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/16938en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.subjectComputer scienceen_US
dc.subjectApplied mechanicsen_US
dc.titleThe use of optimization techniques in the solution of partial differential equations from science and engineeringen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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