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 33 for “"Perturbation techniques"”.
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Identification of nonlinear ship motion using perturbation techniques
… in all other degrees of freedom, using a perturbation-energy technique. This technique approximates energy expressions and applies Lagrange's equations for quazi-coordinates to develop the equations of motion. When formulating the energies, we take advantage of the ship's symmetry to …
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Analysing Mathematical Models of Intracellular Calcium Dynamics using Geometric Singular Perturbation Techniques
… calcium dynamics, using geometric singular perturbation techniques with the aim of determining the usefulness of these techniques and what their limitations are. We find that the number of distinct time scales and the number of variables evolving on each time scale varies between models, but …
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Design of multi-degree-of-freedom tuned-mass dampers using perturbation techniques
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2003.
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Exact Solutions for Orthogonal and Non-Orthogonal Magnetohydrodynamic Stagnation-Point Flow
… values of ε, both large and small, singular perturbation techniques are used to derive asymptotic expansions for the physically relevant quantities in the flow--the skin friction at the wall and the tangential component of magnetic intensity at the wall. Extensive comparisons are made between …
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Rocket Powered Flight as a Perturbation to the Two-Body Problem.
… non-homogeneous equations. The goal is to use perturbation techniques to approximate solutions to the combined two-body and rocket equations.</p>
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Perturbation based privacy for time-series data
… develops mathematical foundations for optimal perturbation of both single-dimensional and multidimensional time-series data. The developed perturbation techniques allow users to effectively hide their original data while aggregated community statistics are still accurately reconstructed. …
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Stress distribution around holes in laminated composite plates
… Using conformal mapping and boundary form perturbation techniques, the circular hole solution has been extended to the solution of the curvilinear hole case. These analytical solutions are compared with the solution obtained from a 72 DOF finite element method. The stress resultants and …
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Local excitons in insulators and impurity doped metals
… Hartree-Fock and second order many body perturbation techniques. Accurate results are obtained for sodium fluoride by incorporating these techniques into a simple Born-Haber type cycle that requires only free space atomic and ionic data to predict where the Na LI1,III edge exciton is …
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Detecting buffer overflows using testcase synthesis and code instrumentation
… includes a test case synthesizer that uses data perturbation techniques on legal inputs to produce new test cases, and an analytical module that evaluates the effectiveness of these test cases. Using information provided by code instrumentation in further test case generation creates a feedback …
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Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
… many researchers. Recently, numerical singular perturbation techniques have been used extensively for solving many differential equation models of sciences and engineering. In this thesis, we explore some of those methods which are based on spline approximations to solve the option pricing …
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An investigation by electron paramagnetic resonance of the Jahn-Teller effect in LiNbO₃¿:Cu²+
… four effective Hamiltonians are solved using perturbation techniques and their predictions are compared to the EPR spectra. Because of the observed line intensities the spectra appears to fit most closely case 2), the so-called intermediate JahnTeller effect. High frequency EPR spectra must be …
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Temporal synchronization of CA1 pyramidal cells by high-frequency, depressing inhibition, in the presence of intracellular noise
… periodic solutions using geometric singular perturbation techniques are proven. The effects of synaptic strength, synaptic recovery, and inhibition frequency are discussed. In contrast to prior work, which suggests that the ripple is produced by homogeneous populations of either pyramidal …
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Coherent Transport of Matter Waves in Disordered Optical Potentials
The development of modern techniques for the cooling and the manipulation of atoms in recent years, and the possibility to create Bose-Einstein condensates and degenerate Fermi gases and to load them into regular optical lattices or disordered optical potentials, has evoked new interest for the …
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A Framework for the Analysis and Design of Vector Controllers for Induction Machines
… scale behavior of the motor based on singular perturbation techniques. Using the framework, established controllers are analyzed. In particular, direct torque control (DTC) is formally derived, avoiding any heuristic arguments. New controllers are also proposed, which avoid the sensitivity to …
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Testing the EPRI reactivity depletion decrement uncertainty methods
… decrements versus burnup. The analytical techniques used to infer measured assembly reactivities required perturbation calculations using 3D nodal diffusion core models. Subsequently, questions have arisen within the Nuclear Regulatory Commission (NRC) as to potential uncertainties in …
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Mathematical modeling of heavy metals diffusion and removal from cylindrical cement forms coated with bio-film
… model is solved analytically by applying regular perturbation techniques and Laplace transform. Specifically, the mathematical model consisting of a partial differential equation describing the mass transfer of the targeted species as it moves through the encapsulating cylinder toward the …
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Optimal mode localization in disordered, periodic structures
… using a newly developed Jordan Block Perturbation Method. We estimate and compare convergence zones of our newly developed method with perturbation techniques used to describe localized modes. In the second part of the thesis, we provide numerical evidence that complex branch points, …
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Optimal Control of Weakly Forced Nonlinear Oscillators
… Robust computational methods based on homotopy perturbation techniques and pseudospectral approximations are developed and implemented to construct optimal controls for spiking and synchronizing a neuron ensemble, for which analytical solutions are intractable. We finally validate the optimal …
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Perturbation Modeling for Molecular Design of Protein Tyrosine Kinase Inhibitors using Unsupervised Machine Learning
… The goal of this study pertains to creating a perturbation modeling framework in which we can conduct transformations of small molecules to SRC kinase inhibitors using a combination of a generative learning technique called Variational Auto-Encoders and Unsupervised Machine Learning techniques. …
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Stability of reticulated domes under multiple static and dynamic loads
… using nonlinear programming and discrete perturbation techniques. The nonlinear programming technique is used to obtain a starting solution for the discrete perturbation technique and to optimize the choice of the perturbation parameter. Convergence criteria and error estimates to limit …
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