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dc.contributor.advisor Symes, William W.
dc.creatorEnriquez, Marco
dc.date.accessioned 2012-07-03T22:49:44Z
dc.date.available 2012-07-03T22:49:44Z
dc.date.created 2010-12
dc.date.issued 2011
dc.identifier.citation Enriquez, Marco. "The Effects of Coupling Adaptive Time-Stepping and Adjoint-State Methods for Optimal Control Problems." (2011) Diss., Rice University. https://hdl.handle.net/1911/64429.
dc.identifier.urihttps://hdl.handle.net/1911/64429
dc.description.abstract This thesis presents the implications of using adaptive time-stepping schemes with the adjoint-state method, a widely used algorithm for computing derivatives in optimal-control problems. Though we gain control over the accuracy of the timestepping scheme, the forward and adjoint time grids become mismatched. Despite this fact, I claim using adaptive time-stepping for optimal control problems is advantageous for two reasons. First, taking variable time-steps potentially reduces the computational cost and improves accuracy of the forward and adjoint equations' numerical solution. Second, by appropriately adjusting the tolerances of the timestepping scheme, convergence of the optimal control problem can be theoretically guaranteed via inexact Newton theory. I present proofs and computational results to support this claim.
dc.format.extent 131 pp
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectApplied Mathematics
dc.title The Effects of Coupling Adaptive Time-Stepping and Adjoint-State Methods for Optimal Control Problems
dc.identifier.digital EnriquezM
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Computational and Applied Mathematics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy


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