• Efficient algorithms for solving three dimensional parabolic interface problem with variable coefficients 

  Wei, Zhihan (University of Alabama Libraries, 2018)

  The dissertation consists of two parts, in the first part, a new matched alternating direction implicit (ADI) method is proposed for solving three-dimensional (3D) parabolic interface problems with discontinuous jumps, ...
• Sparse regression of textual analysis 

  Carter, Phylisicia N. (University of Alabama Libraries, 2018)

  We consider sparse regression techniques as tools for classification of sentiment within Twitter posts. Analysis of Twitter usage suffers from several unique challenges. For example, the 140-character limit severely limits ...
• A super-Gaussian Poisson-Boltzmann model for electrostatic solvation energy calculation: smooth dielectric distributions for protein cavities and in both water and vacuum states 

  Hazra, Tania (University of Alabama Libraries, 2018)

  Calculations of electrostatic potential and solvation energy of macromolecules are essential for understanding the mechanism of many biological processes. In the classical implicit solvent Poisson-Boltzmann (PB) model, the ...
• Regression models with a universal penalized function and applications in economics and finance 

  Sun, Mingwei (University of Alabama Libraries, 2018)

  Variable selection is an important topic in linear regression analysis and attracts considerable research in this era of big data. It is fundamental to high-dimensional statistical modeling, including nonparametric regression. ...
• Heuristics for large-scale semidefiniite programming for the K disjoint clique problem 

  Barnes, Alexander Putnam (University of Alabama Libraries, 2018)

  Large-scale semidefinite programming has many applications, including optimal control, computer vision, and machine learning. However, current algorithms for solving semidefinite programs (SDPs) can be time consuming and ...
• Development of interval and non-interval methods for solving multi-objective optimization problems 

  Liu, Sijie (University of Alabama Libraries, 2018)

  Multi-objective optimization problems are pervasive across many diverse disciplines in engineering, economics, management and design where optimal decisions need to be made in the presence of tradeoffs between two or more ...
• Inexact methods for the chemical master equation with constant or time-varying propensities, and application to parameter inference 

  Dinh, Khanh Ngoc (University of Alabama Libraries, 2018)

  Complex reaction networks arise in molecular biology and many other different fields of science such as ecology and social study. A familiar approach to modeling such problems is to find their master equation. In systems ...
• Variational models with elastica energies: a comparison, a new model and new algorithms 

  He, Xuan (University of Alabama Libraries, 2018)

  This work comprises two parts. In the first part, we propose novel ALM based algorithms for the ECV-L1 and ECV-L2 segmentation models in order to compare their performance. By imposing one extra constraint, we develop novel ...
• Curved surfaces of right cones 

  Milner, Robert Toombs (University of Alabama Libraries, 1919)

  It is the purpose of this article to derive a formula for finding the curved surface of a right cone with any plain curve as a base.
• Development of modal interval algorithm for solving continuous minimax problems 

  Luo, Xin (University of Alabama Libraries, 2017)

  While there are a large variety of effective methods developed for solving more traditional minimization problems, much less success has been reported in solving the minimax problem $\displaystyle\min_{u \in U}\displaystyle\max_{v ...
• Sparse technology in weighted harmonic analysis 

  Hoang, Cong Quoc (University of Alabama Libraries, 2017)

  This dissertation is the union of two major results that we discovered during my graduate time. Both of the results involve what are called sparse families of cubes. There will also be some partial results included though ...
• Structural validity and reliability of two observation protocols in college mathematics 

  Watley, Laura Erin (University of Alabama Libraries, 2017)

  Undergraduate mathematics education is being challenged to improve, with peer evaluation, student evaluations, and portfolio assessments as the primary methods of formative and summative assessment used by instructors. ...
• Development, analysis and simulation of laboratory scale models of some problems in astrophysical convection 

  Aljahdaly, Noufe Hemaid (University of Alabama Libraries, 2017)

  This dissertation addresses some open questions in the linear and non-linear theories of thermal convection in regions that are unbounded in the direction of gravity. The first part of the dissertation seeks to model and ...
• Implementation of some parallel algorithms arising in sparse matrix and other applications 

  Lass, David Francis (University of Alabama Libraries, 2017)

  Generally the processing time of a program can be improved by splitting the program into several portions and executing each portion on its own computing core. This process allows us to take advantage of as much of the ...
• Weakly nonlinear convection induced by the sequestration of co$_2$ in a perfectly impervious geological formation 

  Vo, Liet Anh (University of Alabama Libraries, 2017)

  This thesis examines the problem of convection that occurs during the geological sequestration of carbon dioxide. The mathematical model accounts for both diffusion and convection in a geological formation that has anistropic ...
• On finitely generated nilpotent groups and their subgroups 

  Sandor, Bryan Glenn (University of Alabama Libraries, 2017)

  In this work we investigate nilpotent groups $G$ in which all proper subgroups (or all subgroups of infinite index) have class smaller than the class of $G$. Our main results are obtained by considering analagous questions ...
• Krylov approximation and model reduction methods for solving the chemical master equation 

  Vo, Huy D. (University of Alabama Libraries, 2017)

  Complex interacting networks are prevalent across many fields of science and engineering, ranging from chemical kinetics and pharmacology to social sciences. In biochemistry, such networks arise through the reactions between ...
• Fractional Brownian motion and managing risk with short-term futures contracts 

  Cui, Wei (University of Alabama Libraries, 2016)

  In this dissertation, we consolidate previous research done by [3], [5], [13], [14] and [22] on an optimal strategy to reduce the running risk in hedging a long-term supply commitment with short-term futures contracts. ...
• A refinement of Wolff type theorems for the multiplier algebras of dirichlet spaces 

  Neal, Todd (University of Alabama Libraries, 2016)

  In 2014, Banjade and Trent proved an analog of Wolff's theorem for the multiplier algebra of the Dirichlet space, which gives conditions for the cube of a function to be in a generated ideal. This dissertation investigates ...
• High order FDTD methods for electromagnetic systems in dispersive inhomogeneous media 

  Nguyen, Duc D. (University of Alabama Libraries, 2015)

  This dissertation presents matched interface and boundary time-domain (MIBTD) methods for solving both transverse magnetic (TM) and transverse electric (TE) Maxwell's equations in non-dispersive and dispersive media with ...

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