by Tam Yue Hung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 49-52). / Abstracts in English and Chinese. / List of Tables --- p.vi / List of Figures --- p.vii / Chapter 1 --- Solving Systems of ODEs with BVMs --- p.1 / Chapter 1.1 --- Introduction --- p.1 / Chapter 1.2 --- Background --- p.4 / Chapter 1.2.1 --- Linear Multistep Formulae --- p.4 / Chapter 1.2.2 --- Preconditioned GMRES Method --- p.6 / Chapter 1.3 --- Strang-Type Preconditioners with BVMs --- p.7 / Chapter 1.3.1 --- Block-BVMs and Their Matrix Forms --- p.8 / Chapter 1.3.2 --- Construction of the Strang-type Preconditioner --- p.10 / Chapter 1.3.3 --- Convergence Rate and Operation Cost --- p.12 / Chapter 1.3.4 --- Numerical Result --- p.13 / Chapter 1.4 --- Strang-Type BCCB Preconditioner --- p.15 / Chapter 1.4.1 --- Construction of BCCB Preconditioners --- p.15 / Chapter 1.4.2 --- Convergence Rate and Operation Cost --- p.17 / Chapter 1.4.3 --- Numerical Result --- p.19 / Chapter 1.5 --- Preconditioned Waveform Relaxation --- p.20 / Chapter 1.5.1 --- Waveform Relaxation --- p.20 / Chapter 1.5.2 --- Invertibility of the Strang-type preconditioners --- p.23 / Chapter 1.5.3 --- Convergence rate and operation cost --- p.24 / Chapter 1.5.4 --- Numerical Result --- p.25 / Chapter 1.6 --- Multigrid Waveform Relaxation --- p.27 / Chapter 1.6.1 --- Multigrid Method --- p.27 / Chapter 1.6.2 --- Numerical Result --- p.28 / Chapter 1.6.3 --- Concluding Remark --- p.30 / Chapter 2 --- Restoration of Chopped and Nodded Images --- p.31 / Chapter 2.1 --- Introduction --- p.31 / Chapter 2.2 --- The Projected Landweber Method --- p.35 / Chapter 2.3 --- Other Numerical Methods --- p.37 / Chapter 2.3.1 --- Tikhonov Regularization --- p.38 / Chapter 2.3.2 --- MRNSD --- p.41 / Chapter 2.3.3 --- Piecewise Polynomial TSVD --- p.43 / Chapter 2.4 --- Numerical Result --- p.46 / Chapter 2.5 --- Concluding Remark --- p.47 / Bibliography --- p.49

Slope stability is an important aspect of geotechnical engineering. Input parameters for the analysis are the governing factors and they must be determined accurately and precisely. Field investigations, laboratory testing and back analyses are vital instruments for the input parameters. This study presents the results of slope stability analysis for the soil slopes at Elbistan-&Ccedil / &ouml / llolar lignite mine. After executing the drilling programme, samples taken from the drilling work, delivered to soil mechanics laboratory for testing. The basic input parameters, namely cohesion and friction angle determined at soil mechanics laboratory were compared to the parameters obtained from back analysis of a large scale slope failure. Input parameters for the analysis are determined by this way. After determining the input parameters, slope stability analyses were carried out both for the permanent and temporary slopes in AfSin-Elbistan lignite basin, &Ccedil / &ouml / llolar sector. The effect of ground water on the stability of slopes was investigated in detail and maximum safe slope angles were determined for different water levels. For limit equilibrium analysis, Rocscience SLIDE software, for finite difference analysis in 3-D, Itasca FLAC3D was used. In the limit equilibrium analyses both circular and composite failures were considered. Shear strength reduction method is used for the finite difference method. The results between limit equilibrium and 3-D finite difference methods were compared. When the failure surfaces obtained from the finite difference analyses were imposed to limit equilibrium analysis, computations are resulted in lower factor of safety values for limit equilibrium analysis.

Thesis (M.S.)--Mississippi State University. Department of Computational Engineering. / Title from title screen. Includes bibliographical references.

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We wish to apply the newly developed multigrid method [14] to the solution of ODEs resulting from the semi-discretization of time dependent PDEs by the method of lines. In particular, we consider the general form of two important PDE equations occuring in practice, viz. the nonlinear diffusion equation and the telegraph equation. Furthermore, we briefly examine a practical area, viz. atmospheric physics where we feel this method might be of significance. In order to offer the method to a wider range of PC users we present a computer program, called PDEMGS. The purpose of this program is to relieve the user of much of the expensive and time consuming effort involved in the solution of nonlinear PDEs. A wide variety of examples are given to demonstrate the usefulness of the multigrid method and the versatility of PDEMGS. / Thesis (M.Sc.)-University of Natal, Durban, 1992.

This thesis examines the mixing times for one-dimensional interacting particle systems. We use the coupling method to study the mixing rates for particle systems on the circle which move according to specific permutations e.g., transpositions and 3-cycles. / Graduation date: 2008

Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 127-134).

No description available.

We present new 3.6 and 4.5 mu m Spitzer phase curves for the highly irradiated hot Jupiter WASP-33b and the unusually dense Saturn-mass planet HD 149026b. As part of this analysis, we develop a new variant of pixel-level decorrelation that is effective at removing intrapixel sensitivity variations for long observations (>10 hr) where the position of the star can vary by a significant fraction of a pixel. Using this algorithm, we measure eclipse depths, phase amplitudes, and phase offsets for both planets at 3.6 and 4.5 mu m. We use a simple toy model to show that WASP-33b's phase offset, albedo, and heat recirculation efficiency are largely similar to those of other hot Jupiters despite its very high irradiation. On the other hand, our fits for HD 149026b prefer a very high albedo. We also compare our results to predictions from general circulation models, and we find that while neither planet matches the models well, the discrepancies for HD 149026b are especially large. We speculate that this may be related to its high bulk metallicity, which could lead to enhanced atmospheric opacities and the formation of reflective cloud layers in localized regions of the atmosphere. We then place these two planets in a broader context by exploring relationships between the temperatures, albedos, heat transport efficiencies, and phase offsets of all planets with published thermal phase curves. We find a striking relationship between phase offset and irradiation temperature: the former drops with increasing temperature until around 3400 K and rises thereafter. Although some aspects of this trend are mirrored in the circulation models, there are notable differences that provide important clues for future modeling efforts.