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 20 of 95 for “"ANALYTIC SOLUTIONS"”.
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Analytic Solutions for Flows Through Cascades
… landing stages. This thesis therefore presents analytic investigations into turbomachinery flows with the aim that the resulting solutions be used by aircraft designers to produce quieter aircraft. In order to facilitate exact solutions, the turbine is unwrapped onto the two-dimensional plane, …
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Analytic Solutions of the PN Equation for Non-Uniformly Loaded Fast Metal Assemblies
Made available in DSpace on 2017-07-06T18:42:38Z (GMT). No. of bitstreams: 2 Cantlin_Shawn_H_MS.pdf: 20150426 bytes, checksum: cdd3d4373dc393c84dc1bf49acf369f8 (MD5) license.txt: 4813 bytes, checksum: 715c4321821a960fa1a1e91d2ac7ebce (MD5) Previous issue date: 1988
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Analytic Solutions to Some Stochastic, Adaptive, and Dual Optimal Control Problems for Economic Decision-Making
Made available in DSpace on 2014-12-11T17:13:10Z (GMT). No. of bitstreams: 1 7317367.pdf: 6078857 bytes, checksum: 33dc6fea8de91429a9c4145051c8e980 (MD5) Previous issue date: 1972
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Analytic Solutions to the Laplace, Poisson, and Biharmonic Equations with Internal Boundaries: Theory and Application to Microfluidic Dynamics
This dissertation focuses on developing analytical methods for elliptic partial differential equations with conditions imposed on internal boundaries. Internal boundaries are formed where materials with different properties meet to form interfaces. These interfaces arise in a variety of physical …
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Analytic progress in open string field theory
… off-shell formulation of open string theory. The solutions to the equation of motion of open string field theory are expected to describe consistent classical open string backgrounds. In this thesis, I present a number of analytic results in bosonic open string field theory. Firstly, I present …
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Nonlinear dynamics of a particle in an electric and magnetic field
… field of the proton are "switched off", closed analytic solutions for the classical dynamics exist. However, when both fields are present, only approximate analytic solutions are available. For a weak, applied magnetic field perturbation theory may be used to construct the approximate solutions, …
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Power Series Solutions to Ordinary Differential Equations
… made aware of methods for finding power series solutions to ordinary differential equations. In the case that a solution to a differential equation may not be expressed in terms of elementary functions, it is practical to obtain a solution in the form of an infinite series, since many …
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The propagation of planetary-scale waves into the upper atmosphere
… form of Laplace's tidal equation. Quasi-analytic solutions to the propagation equation are obtained for certain model atmospheres in terms of approximate Hough functions and other special functions. These solutions are seen to be equivalent to solutions obtained by other authors for …
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On Multi-component Nonlinear Schrödinger Equation with PT-Symmetry
… sets of scattering data and the fundamental analytic solutions. We also derive the completeness relations of Jost solutions which are related to the spectral decomposition of the operator L(λ). As main examples, we use the Manakov vector Schrödinger equation (related to A.III-symmetric …
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Coherence Effects and Spin Polarisation of Electrons in Electromagnetic Fields
… This code will be rigorously tested against analytic solutions. With both numerical and analytic results, we can explore the conditions on the electron distribution necessary for generating coherent X-rays, and spin polarised electron beams.
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Stability analysis of the 4th order Runge Kutta method in application to colloidal particle interactions
… functions, we were able to generate exact analytic solutions satisfying arbitrary hydrodynamic and interaction forces. This allowed rigorous comparison of the theoretical stability limits and the observed stability limits on time step. We found excellent agreement with the predicted and …
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Anisotropic wave guides-- propagation, focusing and dispersive phenomena with applications for non-destructive testing.
… in which to analyze such layers. To this end, analytic solutions to the plane wave displacement and stress fields in a single layer monoclinic material will be presented The propagation, frequency, and dispersive characteristics of transmitted signals can be analyzed to determine various …
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Finite Element Simulations of Two Dimensional Peridynamic Models
… under this limit for a number of cases where analytic solutions of the classical elasticity problem are known. To carry out this study, the integral-based peridynamic model is solved using the finite element method in two dimensions and compared against solutions using the classical approach.
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Computationally Modeling the Effects of Surface Roughness on Soft X-Ray Multilayer Reflectors
… obtained by means of comparison with well-known analytic solutions and approximations. The predicted Nevot-Croce factor drop in reflectance was found to be in general agreement with the computed decrease in reflectance due to surface roughness. However, an angle dependent difference was also …
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Markov-Airy method for electromagnetic fields in layered structures and microsphere-stabilized planar resonators
… and subsequently validated by testing it against analytic solutions. In the second section of the thesis, a new method of constructing a cavity is demonstrated. A microsphere is placed in between two high-reflecting mirrors. Depending on the separation of the mirrors, the spheres were observed to …
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Monolithic low phase noise oscillators for moderate frequency applications
… created a strong need for integrated oscillator solutions despite generally inferior noise performance. The development of non-linear noise models that can accurately and efficiently predict noise in ring oscillators aids designers in optimizing noise performance in integrated oscillator …
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Oppenheimer-Snyder Collapse in the BSSN Formalism
… solution in isotropic coordinates, we find semi-analytic solutions to the constraint equations at linear order in angular momentum. In addition, we develop a Mathematica simulation code for modeling of spherical vacuum systems using the BSSN formalism. Diagnostics provide comparison of our …
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Geometrically nonlinear analysis for an elastic body by the boundary element method
… the deformation gradients are determined from analytical differentiation of the displacement representation, which requires the integration of higher order singularities, is totally eliminated. This allows for an easier calculation of the domain terms which account for the nonlinear portion of …
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Design of Multidimensional Large -Tip -Angle Radiofrequency Pulses for Parallel Transmission in Magnetic Resonance Imaging
… spiral are derived, and both numeric and analytic solutions to the equations are given. The variable slew-rate spiral design is applicable to peak B 1 amplitude reduction of both single-channel and parallel transmission RF pulses. The localized manipulation of gradient waveforms empowers …
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