• 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 ...
• Groups with condition on non-permutable subgroups 

  Chataut, Laxmi Kant (University of Alabama Libraries, 2015)

  In this dissertation, we study the structure of groups satisfying the weak minimal condition and weak maximal condition on non-permutable subgroups. In Chapter 1, we discuss some definitions and well-known results that we ...
• Stability analysis of a bilayer contained within a cylindrical tube 

  Song, Yuanyuan (University of Alabama Libraries, 2015)

  Airways in the lung are coated with a liquid bilayer consisting of a serous layer adjacent to a more viscous mucus layer which is contiguous with the air core. An instability due to surface tension at the interfaces may ...
• Interval method for special constrained global optimization problems 

  Ying, Mengyi (University of Alabama Libraries, 2014)

  The basic framework in this thesis is the standard Hansen method. The standard Hansen method has become a very well-known and popular method over the last few decades in the area of Interval Arithmetic [1] for finding all ...
• Modeling the rmb exchange rate volatility using arch/garch models 

  Song, Lingxue (University of Alabama Libraries, 2016)

  China has reformed the RMB exchange rate regime since 2005. Before 2005, a purely fixed exchange rate policy was implemented in China. After reforming the exchange rate policy, China allows the RMB exchange rate to float ...
• Free inverse semigroupoids and their inverse subsemigroupoids 

  Liu, Veny (University of Alabama Libraries, 2016)

  Semigroupoids are generalizations of semigroups and of small categories. In general, the quotient of a semigroupoid by a congruence is not a semigroupoid and homomorphisms of semigroupoids can also behave badly. We define ...
• Augmented Lagrangian method for Euler's elastica based variational models 

  Chen, Mengpu (University of Alabama Libraries, 2016)

  Euler's elastica is widely applied in digital image processing. It is very challenging to minimize the Euler's elastica energy functional due to the high-order derivative of the curvature term. The computational cost is ...
• Statistical networks with applications in economics and finance 

  Alli, Toyin Omolara (University of Alabama Libraries, 2016)

  Due to the vast amount of economic and financial information to be stored and analyzed, the need for the study of high dimensional networks has increased dramatically. Typical approaches for determining the groupwise ...
• On the harmonic and geometric maximal operators 

  Duffee, Linden Anne (University of Alabama Libraries, 2016)

  In this dissertation, we attempt to characterize the boundedness of two operators over certain spaces of functions. The operators in question, the harmonic maximal operator and the geometric maximal operator, arise naturally ...
• Polydegree properties of polynomial automorphisms 

  Perry, Kaitlyn Anne (University of Alabama Libraries, 2016)

  The group of automorphisms of the affine plane has the structure of an amalgamated free product of the triangular and affine subgroups. This leads us to the polydegree: the unique sequence of degrees of the triangular ...

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