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Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
Boundary Element Method (Bem) And Method Of Fundamental Solutions (Mfs) For The Boundary Value Problems Of The 2-D Laplace's Equation, Ermes Anthony Salgado-Ibarra
Boundary Element Method (Bem) And Method Of Fundamental Solutions (Mfs) For The Boundary Value Problems Of The 2-D Laplace's Equation, Ermes Anthony Salgado-Ibarra
UNLV Theses, Dissertations, Professional Papers, and Capstones
In this thesis we study the solution of the two dimensional Laplace equation by the boundary Element method (BEM) and the method of fundamental solutions (MFS). Both the BEM and MFS used to solve boundary value problems involving the Laplace equation 2-D settings. Both methods rely on the use of fundamental solution of the Laplace's equation (the solution of Laplace's equation in the distributional sense). We will contrast and compare the results we get using the BEM with results we get using the MFS.
The First-Integral Method For Duffing-Van Der Pol-Type Oscillator System, Xiaochuan Hu
The First-Integral Method For Duffing-Van Der Pol-Type Oscillator System, Xiaochuan Hu
Theses and Dissertations - UTB/UTPA
In this thesis, we restrict our attention to nonlinear Duffing–van der Pol–type oscillator system by means of the First-integral method. This system has physical relevance as a model in certain flow-induced structural vibration problems, which includes the van der Pol oscillator and the damped Duffing oscillator etc as particular cases. Firstly we apply the Division Theorem for two variables in the complex domain, which is based on the ring theory of commutative algebra, to explore a quasi-polynomial first integral to an equivalent autonomous system. Then through a certain parametric condition, we derive a more general first integral of the Duffing–van …
Inverse Synthetic Aperture Radar Imaging Theory And Application, Jaime Xavier Lopez
Inverse Synthetic Aperture Radar Imaging Theory And Application, Jaime Xavier Lopez
Theses and Dissertations - UTB/UTPA
Inverse Synthetic Aperture Radar (ISAR) is an electromagnetic sensing system that is capable of producing high resolution microwave images of moving targets. Despite being developed within the engineering community, the theory of radar imaging is a subject of tremendous mathematical richness. The theory of ISAR imaging alone is filled with many applications and open problems that the mathematician and physicist may find interesting. In this thesis, the basis for a filtered back projection imaging algorithm is derived from a popular scalar wave model. This imaging algorithm is based on a filtered-adjoint method for inverting ISAR data, and allows for the …
Subdifferentials Of Distance Functions And Applications To Facility Location Problems, Juan Salinas Jr.
Subdifferentials Of Distance Functions And Applications To Facility Location Problems, Juan Salinas Jr.
Theses and Dissertations - UTB/UTPA
The classical Heron problem states: on a given straight line in the plane, find a point C such that the sum of the distances from C to the given points A and B is minimal. This problem can be solved using standard geometry or differential calculus. In the light of modern convex analysis, we are able to investigate more general versions of this problem. In this thesis we propose and solve the following problem: on a given nonempty closed convex subset of IRs , find a point such that the sum of the distances from that point to n given …
Qualitative Analysis To A Nonlinear System, Pengcheng Xiao
Qualitative Analysis To A Nonlinear System, Pengcheng Xiao
Theses and Dissertations - UTB/UTPA
In this thesis, we first present a qualitative analysis to a nonlinear system under certain parametric conditions. Then for a special case, we make a series of variable transformation and apply the Prelle-Singer Method to find the first integrals of the simplified equations without complicated calculations. Through the inverse transformations we get the first integrals of the original equation. Finally, we use the same Prelle-Singer method to get the first integral for an extended nonlinear system.
Zero Inflated Exponential Distribution And It's Variants, Sougata Dhar
Zero Inflated Exponential Distribution And It's Variants, Sougata Dhar
Theses and Dissertations - UTB/UTPA
There have been a lot of studies with respect to the popular Zero Inflated versions of some discrete distributions, like Zero Inflated Poisson and Zero Inflated Negative Binomial distributions. They arise naturally in the literature when one aims to model count data sets having more than usual number of zeros by well known probability distributions. But it can be argued and established that Zero Inflated versions of continuous distributions also make sense. In this thesis, we first provide some motivations for studying Zero Inflated versions of exponential distribution and its variants and then study some parametric and Bayesian aspects related …
Mathematics Of Synthetic Aperture Radar Imaging, Guillermo Garza
Mathematics Of Synthetic Aperture Radar Imaging, Guillermo Garza
Theses and Dissertations - UTB/UTPA
In Synthetic Aperture Radar (SAR) imaging, radar antennas are mounted on an airborne platform. The scene to be imaged is illuminated by electromagnetic waves transmitted from an antenna. The goal is to extract information of the scene from the measurements taken of the scattered waves. Reconstructing an image of the scene is an inverse problem. In this thesis, we study a method of image reconstruction developed by formulating the data collected as a Fourier integral operator acting on the scene, then applying an approximate inverse operator to that data. In particular, we examine the effects of bistatic system geometry to …
Collapsing Of Non Homogeneous Markov Chains, Agnish Dey
Collapsing Of Non Homogeneous Markov Chains, Agnish Dey
Theses and Dissertations - UTB/UTPA
In this thesis we have considered questions about lumpability of a non homogeneous markov chain. A number of results similar to those obtained in [2] in the case of homogeneous markov chains have been presented here. We have also considered a few results along the lines of those considered in [8].
Duffing-Van Der Pol-Type Nonlinear Oscillator System, Jing Cui
Duffing-Van Der Pol-Type Nonlinear Oscillator System, Jing Cui
Theses and Dissertations - UTB/UTPA
In this thesis, we are concerned with the nonlinear Duffing–van der Pol–type oscillator system by means of the Lie symmetry reduction method. This system has physical relevance as a simple model in certain flow-induced structural vibration problems, which includes the van der Pol oscillator and the damped Duffing oscillator etc as particular cases. By applying the Lie symmetry analysis, we find two nontrivial infinitesimal generators, and use them to construct canonical variables. Through the inverse analysis, some dynamical properties of the nonlinear system under certain parametric conditions are presented. Comparison with the existing results by the Prelle– Singer procedure is …