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 8 of 8 for “"Crank-Nicolson method"”.
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An analysis of the TR-BDF2 integration scheme
… due to insufficient numerical damping from the Crank-Nicolson method (which is based on the Trapezoidal rule) and demonstrate how these problems can be rectified with the TR-BDF2 scheme. Several examples are presented, including an advection-diffusion-reaction (ADR) problem and the (chaotic) …
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Unsteady free convection on a horizontal circular cylinder in the presence of heat generation and radiation
… by using two types of finite difference methods namely explicit finite difference method and implicit finite difference scheme of Crank Nicolson method. The solutions obtained by those two methods are used to compare the accuracy between them with the previous studies. The presence of heat …
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High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
… based upon the Discontinuous Galerkin (DG) method, is introduced to solve one- and two-dimensional Elastohydrodynamic Lubrication (EHL) problems (line contact and point contact). This thesis provides an introduction to elastohydrodynamic lubrication, including some history, and a description …
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Simulation of temperature history and estimation of thermal properties of food materials during freezing
Freezing is a very common method of food preservation around the world. Accurate simulation of the freezing process in food materials is very important for the design of superior freezing processes and more efficient refrigeration equipment. The accuracy of numerical methods is very significant for …
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Complex flow and transport phenomena in porous media
… efficient high order discontinuous Galerkin (DG) methods to solve them numerically. Specifically, the coupling of the Navier-Stokes and the Darcy's equations, which is encountered in the environmental problem of groundwater contamination through lakes and rivers, is considered. Predicting …
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Improvements to building energy usage modeling during early design stages and retrofits
… by finding the limits of the semi-implicit Crank-Nicolson method before it begins to return physically implausible oscillatory temperature profiles. An effort is made to speed up lighting calculations using a multivariate regression analysis in place of a multiple-reflection-based …
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Speeding up high-order algorithms in computational fluid and kinetic dynamics: based on characteristics tracing and low-rank structures
… challenges. First, classical discretization methods suffer from the curse of dimensionality, that is, the computational cost grows exponentially as the number of dimensions increases. Second, shock formations and sharp gradient structures that develop in certain PDEs of interest are …
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Essays on the Equity Premium Puzzle
… I utilize the conjecture and verification method to find the form of the state valuation function. After calibrating the model’s parameters, I derive the conditions that enable the Equity Premium puzzle and / or the Volatility puzzle to exist, and then I find the RRA coefficients that meet …