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Variogram matrix functions for vector random fields with secondorder increments
(Springer, 201205)The variogram matrix function is an important measure for the dependence of a vector random field with secondorder increments, and is a useful tool for linear predication or cokriging. This paper proposes an efficient ... 
Vector random fields on the probability simplex with metricdependent covariance matrix functions
(Springer Nature, 20221201)This paper constructs a class of isotropic vector random fields on the probability simplex via infinite series expansions involving the ultraspherical polynomials, whose covariance matrix functions are functions of the ... 
Vector random fields with compactly supported covariance matrix functions
(Elsevier, 201303)The objective of this paper is to construct covariance matrix functions whose entries are compactly supported, and to use them as building blocks to formulate other covariance matrix functions for secondorder vector ... 
Vector stochastic processes with PolyaType correlation structure
(Wiley, 201708)This paper introduces a simple method to construct a stationary process on the real line with a Polyatype covariance function and with any infinitely divisible marginal distribution, by randomising the timescale of the ... 
Vertical blow ups of capillary surfaces in R3, part 2: nonconvex corners
(Texas State University  San Marcos, 200812)The goal of this note is to continue the investigation started in Part One of the structure of “blown up” sets of the form P × R and N × R when P,N R2 and P (or N) minimizes an appropriate functional and the domain ... 
Vertical blow ups of capillary surfaces in R3, part one: convex corners
(Texas State University  San Marcos, 200711)One technique which is useful in the calculus of variations is that of “blowing up”. This technique can contribute to the understanding of the boundary behavior of solutions of boundary value problems, especially when they ... 
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 ... 
Why is isotropy so prevalent in spatial statistics?
(American Mathematical Society, 200703)There are many reasons for the popular use of the isotropic or geometrically anisotropic covariance function and variogram in spatial statistics. A less known reason demonstrated in this paper is that an isotropic or ... 
Zeta function of selfadjoint operators on surfaces of revolution
(IOP Publishing, 20150410)In this article we analyze the zeta function for the Laplace operator on a surface of revolution. A variety of boundary conditions, separated and unseparated, are considered. Formulas for several residues and values of the ... 
Zeta function on surfaces of revolution
(IOP Publishing, 20120831)In this paper we applied the contour integral method for the zeta function associated with a differential operator to the Laplacian on a surface of revolution. Using the WKB expansion, we calculated the residues and values ...