Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 15 of 15 for “"variational analysis"”.
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Variational Analysis In Parametric Optimization
… dissertation is devoted to the development of variational analysis and generalized differentiation in infinite dimensions. We derive new calculus rules for both first-order partial subdifferentials and second-order partial subdifferentials in the framework of general Banach spaces as well as …
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Methods Of Variational Analysis In Pessimistic Bilevel Programming
… be treated by using appropriate tools of modern variational analysis and generalized differentiation developed by B. Mordukhovich. </p> <p> This dissertation begins with analyzing pessimistic bilevel programs, formulation of the problems, literature review, practical application, existence of the …
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Well-Posedness Properties In Variational Analysis And Its Applications
… properties in well-posedness and sensitivity analysis, among which the notions of uniform metric regularity , higher-order metric subregularity and its strong subregularity counterpart play an essential role in modern variational analysis. We derived verifiable sufficient conditions and …
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Variational analysis and optimal control of the sweeping process
… of discrete approximations and advanced tools of variational analysis and generalized differentiation. The final results obtained are given in terms of the initial data of the controlled sweeping process and are illustrated by nontrivial examples.</p>
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Some numerical aspects of developing an operational primitive-equation model for the tropics.
… methods of initialization including numerical variational analysis. Comparisons of forecast accuracy are made between staggered and non-staggered grids. All prediction models produce better verification statistics than persistence, with the staggered grid verifying better than the full grid. …
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New variational principles with applications to optimization theory and algorithms
… dissertation we investigate some applications of variational analysis in optimization theory and algorithms. In the first part we develop new extremal principles in variational analysis that deal with finite and infinite systems of convex and nonconvex sets. The results obtained, under the name of …
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Finite-Difference Approximations And Optimal Control Of Differential Inclusions
… generalized differential constructions of variational analysis.</p>
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Modeling Of Mouse Eye And Errors In Ocular Parameters Affecting Refractive State
… indices of ocular refractive media, using variational analysis and a computational model of the rodent eye. </p> <p>Variational analysis revealed that variation in all the ocular parameters does affect the refractive status of the eye, but depending upon the magnitude of the impact those …
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Full Stability In Optimization
… generalized differential constructions of variational analysis. We develop effective applications of our general characterizations of full stability to </p> <p>parametric variational systems including the well-known generalized equations and variational inequalities. Many relationships of …
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Analysis of critical points for nonconvex optimization
… fields such as global optimization, equilibrium analysis, and efficient algorithm design, we provide sufficient conditions that are not merely theoretical characterizations of uniqueness, but rather, given an optimization problem, can be checked algebraically. In our analysis we use results from …
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A Study of the Λ(1405) in Lattice QCD
… (2+1)-flavour full-QCD ensembles together with a variational analysis using source and sink smearing in an attempt to isolate this otherwiseelusive state using lattice QCD. For the first time, we report masses for the lowest-lying states consistent with those in nature – including the Λ(1405). We …
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Intercalation dynamics in lithium-ion batteries
… to close the original PDE system--via a variational analysis of the free energy functional; I include a thermodynamically-consistent treatment of the reaction rates; I develop a semi-discrete finite volume method for numerical simulations; and I include a careful asymptotic treatment of …
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Using Kullback-Leibler Divergence to Analyze the Performance of Collaborative Positioning
… uses information theory to perform a theoretical analysis of the value of collaborative positioning.The main research problem addressed states: 'Is collaboration always beneficial? If not, can we determine theoretically when it is and when it is not?' We show that the immediate advantage of …
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Mathematical and Computational Methods for the n-Body Problem
… develops an integrated framework that combines variational analysis, advanced numerical optimisation, and rigorous computer-assisted proofs (CAPs) to detect, classify, and validate periodic solutions of the n-body problem. The work begins by reformulating the search for periodic trajectories as …
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Statistical physics of isotropic-genesis nematic elastomers
… by the Urayama group. By means of a Gaussian variational analysis, we also find that the macroscopically isotropic state of IGNEs (of which the polydomain state is a particular instance) remains stable, at least locally, in the low-temperature regime. Chapters 2, 3, 4, 7 and 8 provide analyses …