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Showing 1 to 20 of 92 for “"Diffusion Equations"”.
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Green's Dyadic Solutions of the Multigroup Diffusion Equations
Made available in DSpace on 2017-07-06T18:55:32Z (GMT). No. of bitstreams: 3 Nanko_Laura_J_MS.pdf: 41554738 bytes, checksum: c55e8f034214ba6de4ec649d2ae00b66 (MD5) Nanko_Laura_J_MS_ABS.pdf: 658223 bytes, checksum: 8cab0e76fe0d4f99e812bca5b950d987 (MD5) license.txt: 4813 bytes, checksum: …
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Entropic criteria for computational models of advection-diffusion equations
… the estimation of parameters within advection-diffusion equations (ADEs) often overlook the entropic contribution of the discretization, i.e.number of particles, within associated numerical methods. Many times, the gain in accuracyof a highly discretized numerical model is outweighed by its …
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Monte Carlo methods for parallel processing of diffusion equations
A Monte Carlo algorithm for solving simple linear systems using a random walk is demonstrated and analyzed. The described algorithm solves for each element in the solution vector independently. Furthermore, it is demonstrated that this algorithm is easily parallelized. To reduce error, each …
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Fast Solution Methods For Fractional Diffusion Equations and Their Applications
<p>Fractional diffusion equations model phenomena exhibiting anomalous diffusion that can not be modeled accurately by the second order diffusion equations. Because of the non-local property of fractional differential operators, the numerical methods have full coefficient matrices which require …
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On the derivation of non-local diffusion equations in confined spaces
… of the thesis is the derivation of non-local diffusion equations from kinetic models with heavy-tailed equilibrium in velocity. We are particularly interested in confining the kinetic equations and developing methods that allow us, from the confined kinetic models, to derive confined versions …
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Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations
… regulator (LQR) control problems for convection diffusion equations. The motivation for this effort comes from the observation that when linearization is applied to fluid flow control problems the resulting equations have the form of a convection diffusion equation. This effort is focused on the …
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First Flight Effects on Two-Group Thermal Diffusion Equations in Spherical Geometry
Made available in DSpace on 2017-07-06T18:48:55Z (GMT). No. of bitstreams: 3 Kastanes_John_MS.pdf: 38375200 bytes, checksum: cd6e29cd80cda3777cc1521ca8b143e0 (MD5) Kastanes_John_MS_ABS.pdf: 1047967 bytes, checksum: e788b2c7a1ebd2c56942fec58253a9d7 (MD5) license.txt: 4813 bytes, checksum: …
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A fast characteristic finite difference method for fractional advection-diffusion equations with non-linear reaction.
… can be modeled with fractional differential equations. This approach results in early arrival of contaminants and heavy-tail distributions observed in field experiments. The implicit finite difference scheme with the shifted Grunwald approximation discritizing the fractional …
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Finite element methods for parameter identification problem of linear and nonlinear steady-state diffusion equations
… identification problem for the steady state diffusion equations. In this thesis, we transform this identification problem into a minimization problem by considering an appropriate cost functional and propose a finite element method for the identification of the parameter for the linear and …
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Unstructured Nodal Discontinuous Galerkin Method for Convection-Diffusion Equations Applied to Neutral Fluids and Plasmas
… has been extensively applied to convection-diffusion problems. In this dissertation, a numerical package, texttt{PHORCE}, is introduced to solve a number of convection-diffusion problems in neutral fluids and plasmas. Unstructured grids are used in order to randomize grid errors, which is …
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A Multigrid Acceleration for an ADI Finite Difference Method for Two-Dimensional Space Fractional Diffusion Equations
<p>Fractional diffusion equations are generalizations of classical diffusion equations which are used in modeling practical superdiffusive problems in fluid flow, finance and others. Because of the nonlocal property of fractional differential operators, the numerical methods for fractional …
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An analytic nodal method for solving the two-group, multidimensional, static and transient neutron diffusion equations
Thesis (Nucl.E.)--Massachusetts Institute of Technology, Dept. of Nuclear Engineering, 1979.
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Asymptotic Analysis of Perturbations to Travelling Wave Solutions of Nonlinear Advection-Reaction-Diffusion Equations of Fisher Type
… this thesis we examine some nonlinear advection-diffusion-reaction equations of Fisher type. First we discuss the stability properties of the equations by writing each nonlinear equation as a system of two ordinary different equations and then analyzing the stability of their equilibrium …
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Efficient computational models for pattern formation in fixed and evolving domains
… spatial patterns formed by nonlinear reaction-diffusion equations for benchmark reaction kinetics. Computational methods for modeling reaction-diffusion equations have been presented extensively in literature. Efficiency in these computational methods, either higher convergence or reduced …
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The application of signaling networks to cancer metastasis and cellular motility through the EGFR pathway
… model that consists of partial differential equations and signaling networks. Analysis techniques for these nonlinear reaction-diffusion equations included a study of the biological background and motivation, along with computational simulation of the various sets of models developed. The …
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Stabilized Explicit Time Integration for Parallel Air Quality Models
… Most air quality models are based on advection-diffusion equations. These differential equations are moderately stiff and require appropriate techniques for fast integration over large intervals of time. Implicit time stepping techniques for solving differential equations being unconditionally …
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Reactor Static Optimization With Integral System Equations
… consideration are transformed into integral equations by using Green's functions. Two-group, two-dimensional Green's functions for the neutron diffusion equations have been derived.
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