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  • 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 ...
  • 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 ...
  • Adaricheva, Kira; Nation, J.B. (2016)
    Discovery of (strong) association rules, or implications, is an important task in data management, and it nds application in arti cial intelligence, data mining and the semantic web. We introduce a novel approach for ...
  • Kadyrov, Shirali (2014)
    It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension ...
  • Christodoulidi, H.; Bountis, Tassos; Drossos, L. (arXiv, 2018-04)
    We examine the role of long–range interactions on the dynamical and statistical properties of two 1D lattices with on–site potentials that are known to support discrete breathers: the Klein–Gordon (KG) lattice which ...
  • Adaricheva, Kira; Wehrung, Freidrich (2005)
    For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively, — The class ...
  • Einsiedler, Manfred; Kadyrov, Shirali (2011)
    We study the relation between measure theoretic entropy and escape of mass for the case of a singular diagonal flow on the moduli space of three-dimensional unimodular lattices
  • Einsiedler, M.; Kadyrov, Shirali; Pohl, A. (2011)
    Let G be a connected semisimple Lie group of real rank 1 with finite center, let 􀀀 be a non-uniform lattice in G and a any diagonalizable element in G. We investigate the relation between the metric entropy of a acting ...
  • Kominis, Yannis; Choquette, Kent D.; Bountis, Anastassios; Kovanis, Vassilios (arXiv, 2018-06)
    We show the abundance of Exceptional Points in the generic asymmetric configuration of two coupled diode lasers, under nonzero optical detuning and differential pumping. We pinpoint the location of these points with ...
  • Kadyrov, Shirali (2015)
    In this paper we study the dimension of a family of sets arising in open dynamics. We use exponential mixing results for diagonalizable ows in compact homogeneous spaces X to show that the Hausdorff dimension of set of ...
  • 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 ...
  • 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 ...
  • Abeshev, K. Sh.; Badaev, S. A.; Mustafa, M. (2014)
  • Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. (SIAM Journal on Matrix Analysis and Applications, 2015)
    A stable algorithm to compute the roots of polynomials is presented. The roots are found by computing the eigenvalues of the associated companion matrix by Francis's implicitly shifted QR algorithm. A companion matrix is ...
  • 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 ...
  • Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. (Electronic Transactions on Numerical Analysis, 2015)
    A fast Fortran implementation of a variant of Gragg's unitary Hessenberg QR algorithm is presented. It is proved, moreover, that all QR- And QZ-like algorithms for the unitary eigenvalue problems are equivalent. The algorithm ...
  • 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 ...
  • La Torre, Davide; Marsiglio, Simone; Mendivil, Franklin; Privileggi, Fabio (Communications in Nonlinear Science and Numerical Simulation, 2018-05-01)
    Abstract We analyze a multi-sector growth model subject to random shocks affecting the two sector-specific production functions twofold: the evolution of both productivity and factor shares is the result of such exogenous ...
  • Badaev, S. A.; Mustafa, M.; Sorbi, Andrea (2014)
    We show that for every n 1, there exists a 􀀀1n -computable family which up to equivalence has exactly one Friedberg numbering which does not induce the least element of the corresponding Rogers semilattice.
  • Wegner, Sven-Ake (Journal of Pure and Applied Algebra, 2017-11-01)
    Abstract Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Beĭlinson, Bernstein and Deligne ...

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