Mathematics: Recent submissions
Now showing items 61-80 of 462
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Generalized vectors and the matrix equation x([K])=B
(University of Kansas, 1952) -
A reduced system of differential equations for the invariants of ternary forms
(University of Kansas, 1926) -
A study of line congruences by means of a modified tensor analysis
(University of Kansas, 1952) -
Moving mesh methods for numerical solution of porous medium equations
(University of Kansas, 2017-05-31)Porous medium equation (PME) has been found in many applications of the physical sciences. The equation is nonlinear, degenerate, and in many situations has a free boundary, which altogether pose great challenges for ... -
QUANTUM FAMILIES OF MAPS
(University of Kansas, 2017-05-31)This dissertation investigates the theory of quantum families of maps, which formulates a non-commutative topological way to study quantum analogs of spaces of continuous mappings, classical objects of interest from general ... -
A study of analytic surfaces by means of a projective theory of envelopes
(University of Kansas, 1946) -
Projective normality for some families of surfaces of general type
(University of Kansas, 2017-08-31)In this thesis, we present the author's joint research with Lei Song, published in \cite{RS}. We show this: Suppose X is a minimal surface, which is a ramified double covering f:X- S, of a rational surface S, with dim ... -
Optimizing mathematics placement: A machine learning approach comparing predictive algorithmic models
(University of Kansas, 2017-08-31)Choosing the best criteria to place incoming college freshmen into the appropriate first semester courses proves to be a challenge for all subject areas, but for mathematics in particular. It is crucial that universities ... -
KAM Stability of The Kepler Problem with a General Relativistic Correction Term
(University of Kansas, 2017-05-31)In this work, we will be investigating a specific Hamiltonian system, namely, the Kepler problem with a correction term $\frac{\delta}{r^{3}}$ added to the potential energy. Our objective is to show that the system is ... -
Concerning the occurrence of a particular curve in the solution of certain differential equations
(University of Kansas, 1931) -
Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions
(American Meteorological Society, 2016-03-22)For a stochastic differential equation(SDE) driven by a fractional Brownian motion(fBm) with Hurst parameter H>12, it is known that the existing (naive) Euler scheme has the rate of convergence n1−2H. Since the limit H→12 ... -
Fluctuations of TASEP and LPP with general initial data
(Institute of Mathematical Statistics, 2015-08-13)We prove Airy process variational formulas for the one-point probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage percolation from a general lattice path to ... -
A monotone Sinai theorem
(Institute of Mathematical Statistics, 2016-02-02)Sinai proved that a nonatomic ergodic measure-preserving system has any Bernoulli shift of no greater entropy as a factor. Given a Bernoulli shift, we show that any other Bernoulli shift that is of strictly less entropy ... -
Quantitative stable limit theorems on the Wiener space
(Institute of Mathematical Statistics, 2016)We use Malliavin operators in order to prove quantitative stable limit theorems on the Wiener space, where the target distribution is given by a possibly multidimensional mixture of Gaussian distributions. Our findings ... -
Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes
(Society for Industrial and Applied Mathematics, 2016-05-26)We study the stability of explicit one-step integration schemes for the linear finite element approximation of linear parabolic equations. The derived bound on the largest permissible time step is tight for any mesh and ... -
On the intermittency front of stochastic heat equation driven by colored noises
(Institute of Mathematical Statistics, 2016-03-01)We study the propagation of high peaks (intermittency fronts) of the solution to a stochastic heat equation driven by multiplicative centered Gaussian noise in RdRd. The noise is assumed to have a general homogeneous ... -
On the contact of curves in a four dimensional space
(University of Kansas, 1931) -
Concerning special curves of cycloidal type
(University of Kansas, 1930) -
Parametric equations of plane curves
(University of Kansas, 1931) -
A Lyapunov exponent based stability theory for ordinary differential equation initial value problem solvers
(University of Kansas, 2016-12-31)In this dissertation we consider the stability of numerical methods approximating the solution of bounded, stable, and time-dependent solutions of ordinary differential equation initial value problems. We use Lyapunov ...