Mathematics Masters Theses
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Application of image based finite element analysis for mechanical characterization of materials processed by direct energy deposition technology
(North Dakota State University, 2024)The main focus of this study is to analyze the elastic properties of two different additively manufactured materials. To this end, a cobalt chromium (CoCr) metal alloy sample and a tungsten carbide-17% cobalt (WC-17Co) ... -
Fluid-structure interaction of steady and pulsating flow through a collapsible thin-walled vessel
(North Dakota State University, 2024)An experimental study has been conducted to investigate complex fluid-structure interactions in collapsible tubes under steady and pulsatile flow conditions, which holds significant implications for many physiological fluid ... -
Local Risk Minimization Under Time-Varying Transaction Costs
(North Dakota State University, 2010)Closely following the results of Lamberton, Pham, and Schweizer [5] we construct a locally risk-minimizing strategy in a general incomplete market including transactiou costs. This is done in dbcrete time under the ... -
Absolute Stability of a Class of Second Order Feedback Non-Linear, Time-Varying Systems
(North Dakota State University, 2010)In this thesis, we consider the problem of absolute stability of continuous time feedback systems with a single, time-varying nonlinearity. Necessary and sufficient conditions for absolute stability of second-order systems ... -
The Square of Adjacency Matrices
(North Dakota State University, 2011)It can be shown that any symmetric (0, 1)-matrix A with tr A = 0 can be interpreted as the adjacency matrix of a simple, finite graph. The square of an adjacency matrix A2 = (si1) has the property that Sij represents the ... -
A New Generalization of Cohen-Kaplansky Domains
(North Dakota State University, 2015)The goal of this thesis is to provide an new generalization of Cohen-Kaplansky domains, stemming from questions related to valuation domains. Recall that a Cohen-Kaplansky domain is an atomic integral domain that contains ... -
Bifurcation Portrait of a Hybrid Spiking Neuron Model
(North Dakota State University, 2012)A bifurcation portrait classifies the behavior of a dynamical system and how it transitions between different behaviors. A hybrid dynamical system displays both continuous and discrete dynamics and may display nonsmooth ...
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