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Mathematics: Recent submissions

  • Kussainov, A. S.; Pya, N. (Journal of Physics: Conference Series, 2016-09-05)
    We have assessed the potential applications of the neutron monitor hardware as random number generator for normal and uniform distributions. The data tables from the acquisition channels with no extreme changes in the ...
  • Aurentz, Jared; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S. (arXiv, 2016-11-30)
    In the last decade matrix polynomials have been investigated with the primary focus on adequate linearizations and good scaling techniques for computing their eigenvalues. In this article we propose a new backward stable ...
  • Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf (Linear Algebra and Its Applications, 2016-12-01)
    This article deduces geometric convergence rates for approximating matrix functions via inverse-free rational Krylov methods. In applications one frequently encounters matrix functions such as the matrix exponential or ...
  • Farkas, Bálint; Wegner, Sven Ake (American Mathematical Monthly, 2016-10-01)
    It is not hard to prove that a uniformly continuous real function, whose integral up to infinity exists, vanishes at infinity, and it is probably little known that this statement runs under the name "Barbalat's lemma." In ...
  • Ferranti, Micol; Iannazzo, Bruno; Mach, Thomas; Vandebril, Raf (Calcolo, 2016-06-01)
    A unitary symplectic similarity transformation for a special class of Hamiltonian matrices to extended Hamiltonian Hessenberg form is presented. Whereas the classical Hessenberg form links to Krylov subspaces, the extended ...
  • Tahir, M. H.; Cordeiro, Gauss M.; Alzaatreh, Ayman; Mansoor, M.; Zubair, M. (Communications in Statistics: Simulation and Computation, 2016-11-25)
    Many distributions have been used as lifetime models. In this article, we propose a new three-parameter Weibull–Pareto distribution, which can produce the most important hazard rate shapes, namely, constant, increasing, ...
  • Mach, Thomas; Reichel, Lothar; Van Barel, Marc; Vandebril, R. (Journal of Computational and Applied Mathematics, 2016-09-01)
    Integral equations of the first kind with a smooth kernel and perturbed right-hand side, which represents available contaminated data, arise in many applications. Discretization gives rise to linear systems of equations ...
  • Wei, Dongming; Zhang, Zhenbu (Electronic journal of differential equations, 2001)
    In this work, we compare a parabolic equation with an elliptic equation both of which are used in modeling temperature profile of a powerlaw polymer ow in a semi-infinite straight pipe with circular cross section. We ...
  • Lefton, Lew; Wei, Dongming (Electronic journal of differential equations, 2001)
    We study approximations of the steady state Stokes problem governed by the power-law model for viscous incompressible non-Newtonian flow using the penalty formulation. We establish convergence and find error estimates.
  • Elgindi, Mohamed B. M.; Wei, Dongming; Elgindi, T.M. (arXiv.org, 2014)
    In this paper we formulate the equilibrium equation for a beam made of graphene sub- jected to some boundary conditions and acted upon by axial compression and nonlinear lateral constrains as a fourth-order nonlinear ...
  • Hazim, Hamad; Wei, Dongming; Elgindi, Mohamed B. M.; Soukiassian, Yeran (World Journal of Engineering and Technology, 2015)
    A lumped-parameter nonlinear spring-mass model which takes into account the third-order elastic stiffness constant is considered for modeling the free and forced axial vibrations of a graphene sheet with one fixed end ...
  • Skrzypacz, Piotr; Wei, Dongming (arXiv.org, 2016)
    The nonlinear Brinkman-Forchheimer-extended Darcy equation is used to model some porous medium ow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are ...
  • Wei, Dongming; Fyrillas, Marios; Otemissov, Adilet; Bekishev, Rustam (arXiv.org, 2016)
    In this paper the geometric dimensions of a compressive helical spring made of power law materials are optimized to reduce the amount of material. The mechanical constraints are derived to form the geometric programming ...
  • Elgindi, Mohamed B. M.; Wei, Dongming (Mathematics Faculty Publications, 2012)
    In this paper we prove the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of a Hollomon’s power-law plastic beam subject to an axial compression and nonlinear ...
  • Elgindi, Mohamed B. M.; Wei, Dongming (Applied Mathematical Sciences, 2013)
    This paper is concerned with the existence of equilibrium states of a thin-walled hollow elasto-plastic cylinders fully or partially submerged in a fluid. This problem serves as a model for many problems with engineering ...
  • Elgindi, Mohamed B. M.; Wei, Dongming; Soukiassian, Yeran; Liu, Yu (World Journal of Engineering and Technology, 2014)
    In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properties ...
  • Wei, Dongming; Elgindi, Mohamed B. M. (American Journal of Computational Mathematics, 2013)
    In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the ...
  • Lefton, Lew; Wei, Dongming (Journal of Numerical Mathematics, 2003)
    Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered. A priori error estimates under appropriate smoothness assumptions on the solutions are established without ...
  • Wei, Dongming; Liu, Yu (Applied Mathematical Sciences, 2012)
    In this paper, it is shown that D. Shelupsky's generalized sine func- tion, and various general sine functions developed by P. Drabek, R. Manasevich and M. Otani, P. Lindqvist, including the generalized Ja- cobi elliptic ...
  • Wei, Dongming (Society for Industrial and Applied Mathematics. SIAM Journal on Numerical Analysis, 1992-04)
    A quasilinear parabolic problem is studied. By using the method of lines, the existence and uniqueness of a solution to the initial boundary value problem with sufficiently smooth initial conditions are shown. Also given ...