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The collection of peer-reviewed research articles (co)authored by faculty of the Department of Mathematics and Statistics.

### Recent Submissions

• #### Seasonal variation of multiple-muon cosmic ray air showers observed in the NOvA detector on the surface ﻿

(American Physical Society, 2021-07-30)
We report the rate of cosmic ray air showers with multiplicities exceeding 15 muon tracks recorded in the NOvA Far Detector between May 2016 and May 2018. The detector is located on the surface under an overburden of 3.6 ...
• #### Hyperbolic cosine ratio and hyperbolic sine ratio random fields ﻿

(Elsevier, 2021-12)
This paper introduces several vector random fields whose finite-dimensional characteristic functions are of hyperbolic type, including generalized logistic, hyperbolic secant, hyperbolic tangent, hyperbolic cosine ratio, ...
• #### K-combined random fields: Basic properties and stochastic orderings ﻿

(Taylor and Francis, 2021-05-17)
This paper introduces the K-combined vector random field, whose finite-dimensional characteristic functions are made up of certain power functions and whose finite-dimensional density functions are comprised of the modified ...
• #### Multi-scale phase-field modeling of layer-by-layer powder compact densification during solid-state direct metal laser sintering ﻿

(Elsevier, 2021-05-01)
Solid-state direct metal laser sintering (S-DMLS) builds structures by using laser energy to sinter powder particles in a layer-by-layer manner. Powder size distribution (PSD) is an important parameter governing the ...
• #### Potential flow in a multiply connected circle domain using series methods ﻿

(Elsevier, 2021-08)
We study series solutions to potential flow over an assembly of disks in the complex plane. Boundary value problems are solved for both streaming flow uniform at infinity and flow with circulation using Laurent series. If ...
• #### Fairest edge usage and minimum expected overlap for random spanning trees ﻿

(Elsevier, 2021-05)
Random spanning trees of a graph $G$ are governed by a corresponding probability mass distribution (or "law"), $\mu$ defined on the set of all spanning trees of $G$ This paper addresses the problem of choosing $\mu$ in ...
• #### Increasing stability in acoustic and elastic inverse source problems ﻿

(SIAM Publ, 2020-10-22)
We study increasing stability in the inverse scattering source problem for the Helmholtz equation and the classical Lamé system in the three dimensional space from boundary data at multiple wave numbers. As additional data ...
• #### Stability and the inverse gravimetry problem with minimal data ﻿

(e Gruyter Open Ltd, 2020-10-11)
The inverse problem in gravimetry is to find a domain ð • inside the reference domain ω from boundary measurements of gravitational force outside ω. We found that about five parameters of the unknown ð • can be stably ...
• #### Almost non-negatively curved 4-manifolds with torus symmetry ﻿

(American Mathematical Society, 2020-08-14)
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost non-negatively curved sequence of invariant Riemannian metrics, then it also admits a non-negatively curved Riemannian ...
• #### Comparing motor competence of sex-and age-matched youth with intellectual disability from Brazil and the United States ﻿

(Human Kinetics Publishers Inc., 2020)
Youth with intellectual disabilities (IDs) demonstrate below-criteria motor competence (MC) compared with typically developing (TD) youth. Whether differences in MC exist for youth with ID from different countries is ...
• #### An adaptive multiresolution interior penalty discontinuous Galerkin Method for wave equations in second order form ﻿

(Springer, 2020-10-04)
In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) discontinuous Galerkin (DG) methods for simulating scalar wave equations in second order form in space. The two key ingredients ...
• #### Linearized inverse Schrödinger potential problem at a large wavenumber ﻿

(Society for Industrial and Applied Mathematics Publications, 2020)
We investigate recovery of the (Schrodinger) potential function from many boundary measurements at a large wavenumber. By considering such a linearized form, we obtain a Holder type stability which is a big improvement ...
• #### Penalized splines fitting for a poisson response including outliers ﻿

(Pakistan Journal of Statistics and Operation Research, 2019-12-07)
There have been various studies in the literature on investigating the relationship between a count response and several covariates. Most researchers study count variables and use traditional methods (i.e. generalized ...
• #### Ages of dwarfs in the solar neighborhood: considering C and O enhancements ﻿

(Institute of Physics Publishing, 2020-02-04)
Precise stellar ages of stars are necessary to study the evolution of the Milky Way. The age determination is significantly affected by C and O abundances of stars due to their contribution to the overall metallicity and ...
• #### On the inverse source problem with boundary data at many wave numbers ﻿

(Springer, 2020-02-04)
We review recent results on inverse source problems for the Helmholtz type equations from boundary measurements at multiple wave numbers combined with new results including uniqueness of obstacles. We consider general ...
• #### Well-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes ﻿

(Springer US, 2019-10)
The classical Saint–Venant shallow water equations on complex geometries have wide applications in many areas including coastal engineering and atmospheric modeling. The main numerical challenge in simulating Saint–Venant ...