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Increasing stability in the inverse problem for the Schrödinger equation
(Wichita State University, 201512)The Schrödinger equation is a partial differential equation that describes how the quantum state of a physical system changes with time. It was formulated in late 1925 by the Austrian physicist Erwin Schrödinger. The study ... 
Hybrid basis scheme for computing electrostatic fields exterior to closetotouching discs
(Oxford University Press, 201604)This paper presents a simple and effective new numerical scheme for the computation of electrostatic fields exterior to a collection of closetotouching discs. The method is presented in detail for the twodisc case. The ... 
Effect of H2S in syngas on the FischerTropsch synthesis performance of a precipitated iron catalyst
(Elsevier B.V., 20160305)The sulfur limit, the relationship between the sulfur added and the surface Fe atoms lost (Fe/S), and mechanism of sulfur poisoning were studied using an iron FischerTropsch synthesis (FTS) catalyst (100 Fe/5.1 Si/2.0Cu/3.0K). ... 
First measurement of muonneutrino disappearance in NOvA
(American Physical Society, 20160325)This paper reports the first measurement using the NOvA detectors of nu(mu) disappearance in a nu(mu) beam. The analysis uses a 14 ktonequivalent exposure of 2.74 x 10(20) protonsontarget from the Fermilab NuMI beam. ... 
First measurement of electron neutrino appearance in NOvA
(American Physical Society, 20160413)We report results from the first search for nu(mu) > nu(e) transitions by the NOvA experiment. In an exposure equivalent to 2.74 x 10(20) protons on target in the upgraded NuMI beam at Fermilab, we observe 6 events in the ... 
Protostellar collapse using multigroup radiation hydrodynamics
(Astronomical Society of the Pacific, 2015)Many simulations of protostellar collapse make use of a grey treatment of radiative transfer coupled to the hydrodynamics. However, interstellar gas and dust opacities present large variations as a function of frequency. ... 
Increasing stability for the conductivity and attenuation coefficients
(Society for Industrial and Applied Mathematics, 2016)In this work we consider stability of recovery of the conductivity and attenuation coefficients of the stationary Maxwell and Schrodinger equations from a complete set of (Cauchy) boundary data. By using complex geometrical ... 
On an ad hoc test for order restricted multivariate normal means
(Taylor & Francis Group, 2016)For several normal mean vectors restricted by a simple ordering with respect to a multivariate order, this article derives sufficient and necessary conditions for the restricted MLEs for both mean vectors and covariance ... 
Hydrogenation of Carbon Dioxide over CoFe Bimetallic Catalysts
(American Chemical Society, 201602)A series of CoFe bimetallic catalysts was prepared, characterized, and studied for the hydrogenation of carbon dioxide. The catalyst precursors were prepared via an oxalate coprecipitation method. Monometallic (Co or Fe) ... 
Increasing stability in the inverse source problem with many frequencies
(Elsevier B.V., 20160305)We study increasing stability in the interior inverse source problem for the Helmholtz equation from boundary Cauchy data for multiple wave numbers. By using the Fourier transform with respect to the wave number, explicit ... 
Consistent estimation of survival functions under uniform stochastic ordering; the ksample case
(Elsevier B.V., 201602)Let S1, S2, ... , Sk be survival functions of life distributions. They are said to be uniformly stochastically ordered, S1 <=(uso) S2 <=(uso) ... <=(uso) Sk, if Si/Si+1 is a survival function for 1 <= i <= k  1. ... 
KahlerEinstein metrics with edge singularities
(Princeton University, 201601)This article considers the existence and regularity of Kahler Einstein metrics on a compact Kahler manifold M with edge singularities with cone angle 2 pi beta along a smooth divisor D. We prove existence of such metrics ... 
A new test for new better than used in expectation lifetimes
(Taylor & Francis Group, 2015)The mean residual life of a non negative random variable X with a finite mean is defined by M(t) = E[X  t  X > t] for t >= 0. A popular nonparametric model of aging is new better than used in expectation (NBUE), when ... 
Regularization via Cheeger deformations
(Springer Netherlands, 201512)We show that Cheeger deformations regularize Ginvariant metrics in a very strong sense. 
Increasing stability for near field from the scattering amplitude
(American Mathematical Society, 2015)We obtain stability estimates for the near field of a radiating solution of the Helmholtz equation from the far field (scattering amplitude). This estimates contain the best possible Lipschitz term, a Holder term, and terms ... 
Pellet ablation in Tokamak reactors
(Wichita State University, 201507)We implemented a rotational cloud model for the simulation of pellet ablation in a Tokamak reactor. We have shown that the ablation rate in the rotational cloud model converges quickly to a steady state value independent ... 
A multiple decision procedure for testing with ordered alternatives
(Wichita State University, 201507)In testing hypotheses with ordered alternatives, the conclusion of an order restriction when rejecting the null hypothesis is very sensitive to the correctness of the assumed model. In other words, when the null hypothesis ... 
Modules for the investigation of the central fan question through numerical computation
(Wichita State University, 201505)In this thesis, we continue the research of investigating the central fan question through numerical computation of minimal surfaces and the author develops a new conformal map in hopes of producing a more accurate and ... 
How to lift positive Ricci curvature
(Mathematical Sciences Publishers, 20150521)We show how to lift positive Ricci and almost nonnegative curvatures from an orbit space M / G to the corresponding Gmanifold, M. We apply the results to get new examples of Riemannian manifolds that satisfy both curvature ... 
Role of Cu2+ substitution on the structural and magnetic properties of Niferrite nanoparticles synthesized by the microwavecombustion method
(Elsevier B.V., 201511)Ni1xCuxFe2O4 (x=0.00, 0.05, 0.10, 0.15, 0.20 and 0.25) nanoparticles were successfully synthesized by microwaveinduced combustion process using urea as fuel. The structural and magnetic properties of the samples were ...