### Recent Submissions

• #### Certain plane configurations ﻿

(University of Kansas, 1930)
• #### Multiplicities in Commutative Algebra ﻿

(University of Kansas, 2016-08-31)
This dissertation explores the notion of multiplicity and its generalizations within the theory of commutative algebra. Chapter 2 is dedicated to calculating the limits which give rise to Buchsbaum-Rim multiplicities. We ...
• #### Composing Scalable Nonlinear Algebraic Solvers ﻿

(Society for Industrial and Applied Mathematics (SIAM), 2015-11-05)
Most efficient linear solvers use composable algorithmic components, with the most common model being the combination of a Krylov accelerator and one or more preconditioners. A similar set of concepts may be used for ...
• #### A FETI-DP TYPE DOMAIN DECOMPOSITION ALGORITHM FOR THREE-DIMENSIONAL INCOMPRESSIBLE STOKES EQUATIONS ﻿

(Society for Industrial and Applied Mathematics, 2015-03-03)
The FETI-DP (dual-primal finite element tearing and interconnecting) algorithms, proposed by the authors in [SIAM J. Numer. Anal., 51 (2013), pp. 1235–1253] and [Internat. J. Numer. Methods Engrg., 94 (2013), pp. 128–149] ...
• #### Nonexistence of soliton-like solutions for defocusing generalized KdV equations ﻿

(Texas State University, Department of Mathematics, 2015-02-24)
We consider the global dynamics of the defocusing generalized KdV equation $$\partial_t u + \partial_x^3 u = \partial_x(|u|^{p-1}u).$$ We use Tao's theorem [5] that the energy moves faster than the mass to prove a ...
• #### On L2 modulus of continuity of Brownian local times and Riesz potentials ﻿

(Institute of Mathematical Statistics, 2015-05-05)
This article is concerned with modulus of continuity of Brownian local times. Specifically, we focus on three closely related problems: (a) Limit theorem for a Brownian modulus of continuity involving Riesz potentials, ...
• #### Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency ﻿

(Institute of Mathematical Statistics, 2016-06-04)
This paper studies the stochastic heat equation with multiplicative noises of the form uW, where W is a mean zero Gaussian noise and the differential element uW is interpreted both in the sense of Skorohod and Stratonovich. ...
• #### Density convergence in the Breuer-Major theorem for Gaussian stationary sequences ﻿

(Bernoulli Society for Mathematical Statistics and Probability, 2015)
Consider a Gaussian stationary sequence with unit variance X={Xk;k∈N∪{0}}. Assume that the central limit theorem holds for a weighted sum of the form Vn=n−1/2∑n−1k=0f(Xk), where f designates a finite sum of Hermite ...
• #### Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models ﻿

(Society for Industrial and Applied Mathematics, 2015-01-15)
In this work, we examine effects of permanent charges on ionic flows through ion channels via a quasi-one-dimensional classical Poisson--Nernst--Planck (PNP) model. The geometry of the three-dimensional channel is presented ...
• #### Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations ﻿

(Society for Industrial and Applied Mathematics, 2015-09-17)
We study the stability and instability of periodic traveling waves for Korteweg--de Vries-type equations with fractional dispersion and related, nonlinear dispersive equations. We show that a local constrained minimizer ...
• #### On summation of finite series ﻿

(University of Kansas, 1929)
• #### Application of stochastic differential equations to option pricing ﻿

(University of Kansas, 2016-05-31)
The financial world is a world of random things and unpredictable events. Along with the innovative development of diversity and complexity in modern financial market, there are more and more financial derivative emerged ...
• #### Some Studies on Parameter Estimations ﻿

(University of Kansas, 2016-05-31)
Parameter estimation has wide applications in such fields as finance, biological science, weather prediction, oil deposit detection, etc. Researchers are particularly interested in reconstructing some unknown parameters ...
• #### Depth and Associated Primes of Modules over a Ring ﻿

(University of Kansas, 2016-05-31)
This thesis consists of three main topics. In the first topic, we let $R$ be a commutative Noetherian ring, $I,J$ ideals of $R$, $M$ a finitely generated $R$-module and $F$ an $R$-linear covariant functor. We ask whether ...
• #### Convergence Properties of Hausdorff Closed Spaces ﻿

(University of Kansas, 2016-05-31)
The purpose of this work is to study the topological property of Hausdorff closedness as a purely convergence theoretic property. It is the author's opinion that this perspective proves to be a natural one from which to ...
• #### Numerical solutions of rough differential equations and stochastic differential equations ﻿

(University of Kansas, 2016-05-31)
In this dissertation, we investigate time-discrete numerical approximation schemes for rough differential equations and stochastic differential equations (SDE) driven by fractional Brownian motions (fBm). The dissertation ...
• #### Generalized Fixed-Point Algebras for Twisted C*-Dynamical Systems ﻿

(University of Kansas, 2016-05-31)
In his paper “Generalized Fixed Point Algebras and Square-Integrable Group Actions,” Ralf Meyer showed how to construct generalized fixed-point algebras for C*-dynamical systems via their square-integrable representations ...
• #### Three Dimensional Jacobian Derivations And Divisor Class Groups ﻿

(University of Kansas, 2016-05-31)
In this thesis, we use P. Samuel's purely inseparable descent methods to investigate the divisor class groups of the intersections of pairs of hypersurfaces of the form $w_1^p=f$, $w_2^p=g$ in affine $5$-space with $f$, ...
• #### The Lattice of Compactifications of a Locally Compact Space ﻿

(University of Kansas, 2016-05-31)
This is an expanded version of [5] by Magill. The results of [5] are proven with greater detail and any result stated in [5] but not proven is proven here. Let K (X) and K (Y) be used to indicate the lattice of Hausdorff ...
• #### Analytical line geometry of the plane ﻿

(University of Kansas, 1927)

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KU Libraries
1425 Jayhawk Blvd
Lawrence, KS 66045