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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 245 for “"partial differential equation"”.
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Partial differential equation-based surface modelling and applications.
… deformations for better realism etc., partial differential equation (PDE)-based modelling provides a powerful technique of creating, manipulating, and animating 3D models, and has been attracting considerable attention in the community of computer graphics in the last three decades. …
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Analysis of a Partial Differential Equation Model of Surface Electromigration
<p>A Partial Differential Equation (PDE) based model combining surface electromigration and wetting is developed for the analysis of the morphological instability of mono-crystalline metal films in a high temperature environment typical to operational conditions of microelectronic interconnects. …
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Approximations and Object-Oriented Implementation for a Parabolic Partial Differential Equation
This work is a numerical study of the 2-D heat equation with Dirichlet boundary conditions over a polygonal domain. The motivation for this study is a chemical vapor deposition (CVD) reactor in which a substrate is heated while being exposed to a gas containing precursor molecules. The interaction …
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Reverse Engineering of Aircraft Wing Data Using a Partial Differential Equation Surface Model
… representation is in the form of mathematical equations that are compatible with computer-aided design and computer-aided manufacturing (CAD/CAM) equipment. The four basic steps to the reverse engineering process are data acquisition, data separation, surface or curve fitting, and CAD/CAM …
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Cardiac MRI Data Segmentation Using the Partial Differential Equation of Allen–Cahn Type
… numerical solution of the geometrical evolution partial differen- tial equation of the Allen-Cahn type. This equation has origin in the description of motion by mean curvature and has diffusive character. The diffusion pro- cess can be controlled by the segmented signal so that the edges of the …
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Parametric curve and Partial Differential Equation-based parametric surface reconstruction from point clouds
… sur- face reconstruction methods lies in solving partial differential equations, which is why most studies have focused on implicit PDE-based shape reconstruction, despite its computational ex- pense. To address these challenges, we propose a novel method that uses an accurate closed-form solution …
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Radar scattering from bodies of revolution using an efficient partial differential equation algorithm
In this thesis, partial differential equation techniques for solving the problem of electromagnetic scattering by a three-dimensional body of revolution are discussed. The unknowns used do not obey the scalar Helmholtz equation. Thus, neither the Mur nor the Bayliss-Turkel boundary condition can be …
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Modeling and Numerics for Two Partial Differential Equation Systems Arising From Nanoscale Physics
The mathematical field of analysis of partial differential equations has undergone rapid changes in recent years. Consistent improvement of mathematical computation allows more and more questions to be addressed in the form of numerical simulations. At the same time, novel materials arising from …
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Analysis of a partial differential equation related to pressure-driven separations of binary liquids
… distribution in a binary liquid. The governing equations involve conservation of mass, momentum, energy, and species, which we simplify to a model involving only a diffusion-like equation for conservation of species, based on neglecting the effects of mass transfer on conservation of momentum …
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On some partial differential equation models in socio-economic contexts - analysis and numerical simulations
… analysis and numerical simulation of different partial differential equation models arising in socioeconomic sciences. It is divided into two parts: The first part deals with a mean-field price formation model introduced by Lasry and Lions in 2007. This model describes the dynamic behaviour of …
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New progress in hot-spots detection, partial-differential-equation-based model identification and statistical computation
… detection in spatial-temporal data, (2) partial-differential-equation-based (PDE-based) model identification, and (3) optimization in the Least Absolute Shrinkage and Selection Operator (Lasso) type problem. In this thesis, we have four main works. Chapter 1 and Chapter 2 fall in the …
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Krylov Subspace Spectral Method with Multigrid for a Time-Dependent, Variable-Coefficient Partial Differential Equation
<p>Krylov Subspace Spectral (KSS) methods are traditionally used to solve time-dependent, variable-coefficient PDEs. They are high-order accurate, component-wise methods that are efficient with variable input sizes.</p> <p>This thesis will demonstrate how one can make KSS methods even more …
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A parallel Monte-Carlo partial-differential-equation procedure for the analysis of multicomponent random media
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1993.
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Existence and Uniqueness of the Solution of a Traffic Flow Partial Differential Equation on Multi-Lane Freeways
… the existence of a solution of the stochastic partial differential equation describing the density of cars on a multi-lane freeway using the operator splitting method. Furthermore, we shall prove the uniqueness of the solution of the stochastic differential equation which forms when we apply …
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On the Efficient and Accurate Application of Partial Differential Equation Solvers of Maxwell's Equations in the Time Domain
… which may be more consistent with Maxwell's equations and more accurate than the previous relation. The new field/voltage relation given is derived qualitatively by comparing the symmetric condensed node TLM algorithm with the Yee algorithm. It is demonstrated numerically that this new …
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The Solution of a Parabolic Partial Differential Equation via Domain Decomposition: The Synthesis of Asymptotic and Numerical Analysis
… a time dependent reaction convection diffusion equation with small parameter on the diffusion term will be presented. The method is based on a domain decomposition that is dictated by singular perturbation analysis. The analysis is used to determine regions where certain reduced equations may be …
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On matrix-free pseudo-arclength continuation methods applied to a nonlocal partial differential equation in 1+1D with pseudo-spectral time-stepping
… differing only by the direction they travel. The equations describing the evolution of the populations is a hyperbolic, nonlocal partial di erential equation with periodic boundary conditions [5]. We apply pseudo-spectral methods to numerically integrate initial states of the populations given as …
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Application of a Numerical Method and Optimal Control Theory to a Partial Differential Equation Model for a Bacterial Infection in a Chronic Wound
… techniques and a numerical method to a system of partial differential equations arising from a problem in wound healing. Optimal control theory is a generalization of calculus of variations, as well as the method of Lagrange Multipliers. Both of these techniques have seen prevalent use in the …
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Solution of a Second Order Elliptic Partial Differential Equation with Varying Complex Coefficients: An Application for Computing Effective Complex Electrical Properties of Materials represented by 3D Images
… the solution of the second order elliptic partial differential equation as ∇ [Q(w)∇ u(x, y, z)] = 0, where Q(w)ϵC3˟3 represents the physical parameters of the different phases in the material, and u(x,y,z) is the electric potential. The main difficulty in solving this equation comes from …
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Solution of a Second Order Elliptic Partial Differential Equation with Varying Complex Coefficients: An Application for Computing Effective Complex Electrical Properties of Materials represented by 3D Images
… the solution of the second order elliptic partial differential equation as ∇ [Q(w)∇ u(x, y, z)] = 0, where Q(w)ϵC3˟3 represents the physical parameters of the different phases in the material, and u(x,y,z) is the electric potential. The main difficulty in solving this equation comes from …
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