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 261 for “"system of equations"”.
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Using Mathematical Discourse to Engage Learners in System of Equations
… through a four-lesson sequence on solving systems of equations. Grounded in research on discourse-based mathematics teaching, the project emphasizes structured opportunities for students to reason, communicate, and make connections among multiple solution methods, including graphing, …
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Intermittent behavior in numerical solutions to a nonlinear system of equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Meteorology, 1979.
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Dimensionally Compatible System of Equations for Tree and Stand Volume, Basal Area, and Growth
A dimensionally compatible system of equations for stand basal area, volume, and basal area and volume growth was derived using dimensional analysis. These equations are analytically and numerically consistent with dimensionally compatible individual tree volume and taper equations and share …
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Computer aided analysis of electric circuits using state-variable techniques.
… analysis must perform: 1) formulation of a degenerate system of equations; 2) processing of these equations until they eventually become the state equations; 3) the solution of the state equations. The first task requires the computation of a topological tree and its associated tie-set …
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The Lie Symmetries of a Few Classes of Harmonic Functions
… setting, we can analyze the solutions to systems of differential equations in such a way as to allow us to derive entire classes of solutions from any given solution. This process involves calculating the Lie symmetries of a system of equations and looking at the resulting transformations. …
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Spatial Decay of Rotating Waves and Restrictions on Finite Disks.
In this thesis, we consider the system of reaction-diffusion equations and the behavior of the solution of such a system. The focus is to concentrate on solutions which decay at infinity. Under suitable assumptions, we prove the solution and its derivatives decay exponentially in all space. We also …
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Cost synergies in the commercial banking industry: An econometric examination
This study contributes to the issue of bank product deregulation by examining whether cost synergies, measured by economies of scope, exist in the production of banking services. Using the multiproduct cost economies approach, the existence of overall and product-specific economies of scope and …
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Iterative Techniques for Radial Basis Function Interpolation
The problem of interpolating functions comes up naturally in many areas of applied mathematics and natural sciences. Radial basis function methods provide an interpolant to values of a real function of $\textit{d}$ variables and are highly useful in many applications, especially if the function …
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The Effect of Suspension on Parametric Stability and Bifurcation of Geared Systems in Permanent Contact Regime
Gears are known to be one of the most common mechanical parts used in rotary machinery and power transmission systems. Originally, gears are designed to remain in permanent contact regime, where the teeth in mesh do not separate during operation. But because of the clearance between the teeth in …
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Optimal control of dynamical systems with time-invariant probabilistic parametric uncertainties
The importance of taking model uncertainties into account during controller design is well established. Although this theory is well developed and quite mature, the worst-case uncertainty descriptions assumed in robust control formulations are incompatible with the uncertainty descriptions …
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Architecture Flow Optimization - Refinement and Application for Naval Ship Concept Design
This thesis describes the refinement of an Architecture Flow Optimization (AFO) tool for naval surface ship design, specifically focusing on the development of new network and matrix-based methods for AFO formulation and their application in Concept Development. The AFO tool analyzes and optimizes …
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Mechanics and numerical simulations of Dry Granular Flows driven by gravity
… in the world, and especially the mountain areas of Europe. Proper design criteria are required in order to improve protection structures and prevention strategies. Due to their complex nature, these phenomena present many aspects still unsolved in the research field. This research addresses some …
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Minimal Norm Constrained Interpolation
… usually known only discreetly (say, from a set of measurements), must often be approximated. An acceptable approximation must, of course, preserve the salient features of the data (convexity, concavity, etc.) In this dissertation we compute a smooth interpolant which is locally convex where the …
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Uma estratégia de refinamento auto-adaptativo versão h do método dos elementos finitos aplicada a problemas bi-dimensionais regidos pela equação de campo
… for the Finite Element Method (FEM) solution of two dimensional potential problems is studied. The mesh refinement strategy and the a-posteriori error analysis are also discussed. The Galerkin formulation for FEM is utilized and the resulting system of equations is solved by Preconditiohed …
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Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations
The algebraic constraints in a system of differential-algebraic equations (DAEs) impose a consistency requirement on the initial values that can be difficult to satisfy. In this thesis the consistency requirement is characterized by a system of equations. An approximation method is introduced for …
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Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions
… having prescribed Dirichlet data on one part of the boundary and prescribed Neumann data on the remainder. One must make a choice as to the required boundary regularity of solutions. When only weak regularity conditions are imposed, the harmonic mixed problem has been solved on smooth domains …
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Neural network control of nonstrict feedback and nonaffine nonlinear discrete-time systems with application to engine control
… approximate unknown nonlinear functions in the system equations, unknown control inputs, and cost functions for two different classes of nonlinear discrete-time systems. Employing NN in closed-loop feedback systems requires that weight update algorithms be stable...Controllers are developed and …
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Characterizing smoothness of solutions with respect to boundary data of Dirichlet-nonlocal-Dirichlet boundary value problems for third order ordinary differential equations.
The goal of our paper is to establish analogues of Peano's Theorem for Dirichlet-nonlocal-Dirichlet conditions in third order ordinary differential equations. We begin by establishing the difference quotient, followed by a telescoping sum, allowing us to set up a linear system of equations in two …
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Solution of Nonsymmetric Systems of Equations on a Multiprocessor
We consider the iterative solution of large sparse linear systems of equations arising from elliptic and parabolic partial differential equations in two and three space dimensions. Specifically, we focus our attention on non-symmetric systems of equations whose eigenvalues lie on both sides of the …
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Vector and parallel algorithms for chemical process simulation on supercomputers
… rigorous equation-based models is the solution of a large sparse linear system of equations. Most of the currently used sparse solvers were developed for use on conventional serial machines and these do not take full advantage of the power of modern parallel-vector supercomputers.
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