MATH Research Publications
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The collection of peerreviewed research articles (co)authored by faculty of the Department of Mathematics and Statistics.
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Wellbalanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes
(Springer US, 201910)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 ... 
Algorithm for determining the volatility function in the Black–Scholes model
(Pleiades Publishing, 201910)Abstract: An algorithm for reconstructing the volatility function in the modified Black–Scholes model is developed. Results of numerical computations are presented. It is shown that adding information about the prices of ... 
Models of parenting and its effect on academic productivity: Preliminary results from an international survey
(International Conference on Scientometrics and Informetrics, 201909)This preliminary paper investigates the cost of parenting engagement on academic productivity and impact. Instead of investigating the relationship between gender and academia, this study focuses on time invested in parenting ... 
Geometry of the triple junction between three fluids in equilibrium
(Texas State University, 20190827)We present an approach to the problem of the blow up at the triple junction of three uids in equilibrium. Although many of our results can already be found in the literature, our approach is almost selfcontained and uses ... 
Revisiting Kepler444: I. Seismic modeling and inversions of stellar structure
(EDP Sciences, 20191003)Context. The CoRoT and Kepler missions have paved the way for synergies between exoplanetology and asteroseismology. The use of seismic data helps providing stringent constraints on the stellar properties which directly ... 
On increasing stability of the continuation for elliptic equations of second order without (Pseudo)convexity assumptions
(American Institute of Mathematical Sciences, 201910)We derive bounds of solutions of the Cauchy problem for general elliptic partial differential equations of second order containing parameter (wave number) k which are getting nearly Lipschitz for large k. Proofs use energy ... 
Series representations of isotropic vector random fields on balls
(Elsevier, 202001)This paper deals with a class of secondorder vector random fields in the unit ball of Rd, whose direct/cross covariances are invariant or isotropic with respect to a distance defined on the ball, and gives a series ... 
Machine learning applied to programming quantum computers
(American Institute of Aeronautics and Astronautics, 20190106)We apply machine learning to “program” quantum computers, both in simulation and in experimental hardware. A major difficulty in quantum computing is developing effective algorithms that can be programmed on a quantum ... 
Isotropic covariance matrix functions on compact twopoint homogeneous spaces
(Springer, 2019)The covariance matrix function is characterized in this paper for a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the compact twopoint homogeneous ... 
Preface
(Institute of Physics Publishing, 201902)This is the 13th conference on Beauty, Charm and Hyperon hadrons since the start back in 1995 at Strasbourg. This edition of the series has taken place in the warm and welcoming seaside of Peniche, Portugal. It was quite ... 
Blocking duality for pmodulus on networks and applications
(Springer, 201906)This paper explores the implications of blocking dualitypioneered by Fulkerson et al.in the context of pmodulus on networks. Fulkerson blocking duality is an analog on networks to the method of conjugate families of curves ... 
Conformally variational riemannian invariants
(American Mathematical Society, 20190601)Conformally variational Riemannian invariants (CVIs), such as the scalar curvature, are homogeneous scalar invariants which arise as the gradient of a Riemannian functional. We establish a wide range of stability and ... 
Estimating cumulative incidence functions when the life distributions are constrained
(Academic Press, 2010055)In competing risks studies, the KaplanMeier estimators of the distribution functions (DFs) of lifetimes and the corresponding estimators of cumulative incidence functions (CIFs) are used widely when no prior information ... 
A class of stationary random fields with a simple correlation structure
(Academic Press, 20040715)A stationary random field is often more complicated than a univariate stationary time series, since dependence for a random field extends in all directions, while there is only the natural distinction of past and future ... 
Application of the limit of truncated isotonic regression in optimization subject to isotonic and bounding constraints
(Academic Press Inc., 20020525)An isotonic regression truncated by confining its domain to a union of its level sets is the isotonic regression in the reduced function space. When some of the weights with which the inner product system is defined go to ... 
A strong law of large numbers for nonparametric regression
(Academic Press, 1989071)Suppose (i1,n, ..., in,n) is permutation of (1, ..., n) for each positive integer n such that the order of the indices {1, h., n  1} in the permutation corresponding to n  1 is preserved. If {Zn} is a sequence of meanzero ... 
Singularity among selfsimilar Gaussian random fields with different scaling parameters and others
(Taylor & Francis, 20181102)It is shown in this paper that the probability measures generated by selfsimilar Gaussian random fields are mutually singular, whenever they have different scaling parameters. So are those generated from a selfsimilar ... 
Kdifferenced vector random fields
(SIAM Publ., 2019)A thintailed vector random field, referred to as a Kdifferenced vector random field, is introduced. Its finitedimensional densities are the differences of two Besse! functions of second order, whenever they exist, and ... 
Inverse problem for onedimensional wave equation with matrix potential
(De Gruyter, 20190120)We prove a global uniqueness theorem of reconstruction of a matrixpotential a (x, t) {a(x,t)} of onedimensional wave equation □ u + a u = 0 {\square u+au=0}, x > 0, t > 0 {x>0,t>0}, □ = t 2  x 2 {\square=\partial{t}^ ... 
Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions
(Elsevier, 201905)In this paper a likelihood ratio test is developed through matrix projections for the hypothesis on the homogeneity of mean vectors in MANOVA. It is assumed that the mean vectors are under a general multivariate order ...