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 59 for “"collocation method"”.
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Spectral collocation method for compact integral operators
<p>We propose and analyze a spectral collocation method for integral</p> <p>equations with compact kernels, e.g. piecewise smooth kernels and</p> <p>weakly singular kernels of the form $\frac{1}{|t-s|^\mu}, \;</p> <p>0<\mu<1. $ We prove that 1) for integral equations, the convergence</p> <p>rate …
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A partial state collocation method for covariance optimal control
An overview is presented for two methods of incorporating the covariance in an optimal control problem. Including the covariance in the optimal control problem can be beneficial in the field of navigation where it is desirable to design trajectories which either minimize navigation error or …
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Wavelet Collocation Method for Hammerstein Integral Equations of High Dimension
… In the first part, we extend fast wavelets collocation method and multilevel augmentation method on three dimensional Hammerstein equation with both smooth kernel and weakly singular kernel. In this part, self similar partition on d-dimensional (<em>d</em> ≥ 3) unit cube will be introduced …
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Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method
… problem using a Chebyshev pseudospectral collocation method to discretize the system. This thesis first examines the vibrations of webs with uniform material properties throughout, then investigates the effects of using biologically realistic material parameters for silks within a single …
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Collocation Method and Model Predictive Control for Accurate Landing of a Mars EDL vehicle
This thesis aims at investigating numerical methods through which the accuracy in landing of a Mars entry-descent-landing (EDL) vehicle can be improved. The methods investigated include the collocation method and model predictive control (MPC). The primary control variable utilized in this study is …
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Mathematical Modeling and Scanning Electron Microscopic Study of Biofilm on Adsorptive Media (Orthogonal Collocation Method)
… numerical technique, the Global Orthogonal Collocation Method, was employed to solve the model.
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Trajectory optimization for a fixed trim re-entry vehicle using direct collocation with nonlinear programming
… the optimal control problem using a direct collocation method. The resulting parameter optimization problem is solved using the MINOS non-linear programming software package. The resulting collocation guidance software is tested using data for the Kistler K-1 vehicle system and an existing …
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Combined analytical and numerical solutions in liquid metal flows in a rectangular duct with uniform or non-uniform, strong magnetic fields
… walls have been treated by combining analytical methods and numerical solutions. An asymptotic method has been used in the linear stability analysis for the high-velocity side layers in an MHD duct flow with a uniform and very strong, transverse magnetic field. A composite core-side-layer …
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Three Methods for Solving the Low Energy Neutron Boltzmann Equation
… neutron propagation. Three different solution methods are then used to solve the equations. The collocation method employs linear I3-splines to transform each equation into a system of ODES; the resulting system is then solved exactly and evaluated using numerical integration techniques. …
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Post-Processing Techniques and Wavelet Applications for Hammerstein Integral Equations
… of the Hammerstein type. Post-processed collocation solutions are shown to exhibit better accuracy. Moreover, an extrapolation technique for the Galerkin solution of Hammerstein equation is also obtained. This result appears new even in the setting of the linear Fredholm equation.</p> …
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Estimating Uncertainties in the Joint Reaction Forces of Construction Machinery
… system of interest was a wheel loader, but the methodology developed can be applied to any multibody systems. The modeling technique implemented focused on efficiently modeling stochastic systems for which the equations of motion are not available. The analysis targeted the reaction forces in …
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Wavelets operational methods for fractional differential equations and systems of fractional differential equations
In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed. In particular we study one of the important polynomial that belongs to the Appell family of polynomials, namely, Genocchi polynomial. This polynomial …
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Spectral Methods For The Hamiltonian Systems
<p>We conduct a systematic comparison of spectral methods with some</p> <p>symplectic methods in solving Hamiltonian dynamical systems. Our</p> <p>main emphasis is on the non-linear problems. Numerical evidence has</p> <p>demonstrated that the proposed spectral collocation method preserves</p> …
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Stochastic techniques for computational electromagnetics and signal integrity design optimization
… the efficiency and accuracy of the Stochastic Collocation method, and its application in computer system design optimization. A stochastic Finite Element Method electromagnetic solver is also implemented using Stochastic Collocation to study waveguides with geometric uncertainties.
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ΜΕΘΟΔΟΙ ΠΑΡΕΜΒΟΛΗΣ ΜΕ Ο(Η6) ΣΥΓΚΛΙΣΗ ΓΙΑ ΕΛΛΕΙΠΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ 2ΗΣ ΚΑΙ 4ΗΣ ΤΑΞΗΣ
IN THIS THESIS WE DEVELOP AND ANALYZE OPTIMAL COLLOCATION METHODS FOR SECOND AND FOURTH ORDER TWO-POINT BOUNDARY VALUE PROBLEMS (LINEAR AND NON LINEAR). THESEDIFFERENTIAL EQUATIONS ARE CONSIDERED TO BE DEFINED IN SPACES R AND R2 AND THEIR SOLUTION SATISFIES SOME BOUNDARY CONDITIONS. THE …
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Improved Collocation Methods With Application to Six -Degree -of -Freedom Trajectory Optimization
An improved collocation method is developed for a class of problems that is intractable, or nearly so, by conventional collocation. These are problems in which there are two distinct timescales of the system states, that is, where a subset of the states have high-frequency variations while the …
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Viscoelastic response of wound polymer cord with multiple filament cross-sections
… by utilizing the Wiechert model and the Schapery collocation method. The geometric effects are then combined with the material properties in order to develop a solution for the stress-strain relationships in the cord. This approach involves convolution integrals. The solution to these integrals is …
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Solution Representation and Indentification for Singular neutral Functional Differential Equations
… Volterra Integral Equation. We study the Collocation Method as a projection method for the approximation of solutions for Volterra Integral Equations. Particulary, the possibility of achieving higher order ap- proximations is discussed. Special attention is given to the choice of the …
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The use of stochastic collocation for sampling from expensive distributions with applications in finance
… pricing of financial derivatives using numerical methods often requires sampling from expensive distributions. These are distributions with inverse cumulative distribution functions that are difficult to evaluate, thus requiring significant computation time. To mitigate this, Grzelak et al. (2015) …
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Prediction of Limit Cycle Oscillation in an Aeroelastic System using Nonlinear Normal Modes
There is a need for a nonlinear flutter analysis method capable of predicting limit cycle oscillation in aeroelastic systems. A review is conducted of analysis methods and experiments that have attempted to better understand and model limit cycle oscillation (LCO). The recently developed method of …
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