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 7 of 7 for “"contour integration"”.
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Perceptual Learning, Long-Range Horizontal Connections And Top-Down Influences In Primary Visual Cortex
… task-irrelevant. A second set of experiments on contour integration was analyzed with ROC analysis to show that an ideal observer could predict the presence of an embedded contour from the spike count of a single neuron on a single trial as well as the animal's behavioral performance. A final set …
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Rational Interpolation Methods for Nonlinear Eigenvalue Problems
… first contribution of this work connects recent contour integration methods to the theory and practice of system identification. This observation leads us to explore rational interpolation for system realization, producing a Loewner matrix contour integration technique. The second development of …
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Contributions to Trigonometric Sums and Fifth -Order Mock Theta Functions
… evaluations and reciprocity theorems using contour integration as our main method. The second portion of this thesis focuses on Ramanujan's mock theta functions. In the second chapter, we extend the work of G. N. Watson on the fifth order mock theta functions, and show that in comparison to …
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Development of a discrete numerical approach to the Fredholm Integral Method for evaluating microwave scattering by irregular hydrometeors
… departure from earlier work where the numerical integration is no longer based on expansion in a set of polynomials but based on direct spatial integration. The strength of our approach is that the computations are performed in the spatial frequency domain. As a result, the angular scattering …
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Vibrations of mechanical structures: source localization and nonlinear eigenvalue problems for mode calculation
… In numerical experiments, I test several contour integration solvers for NLEVPs on sample problems generated from string networks.
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Multivariate Rational Approximation in Action: From Data-driven Modeling to Nonlinear Eigenvalue Problems
… multivariate rational interpolation methods and contour integration. As a final contribution of this dissertation, we introduce a model order reduction framework for linear systems with polynomial outputs. This framework is based on the controllability and observability energy functions of the …
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Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory
… through special functions and without using contour integration and Mellin transforms. The proofs require certain identitites of Ramanujan from the above-referred paper. However, two identities in the paper are incorrect. Here, we derive correct versions of the same. Chapter 5 is devoted to …