• Title/Summary/Keyword: Discrete mathematics

Search Result 451, Processing Time 0.037 seconds

RICHARDSON EXTRAPOLATION OF ITERATED DISCRETE COLLOCATION METHOD FOR EIGENVALUE PROBLEM OF A TWO DIMENSIONAL COMPACT INTEGRAL OPERATOR

  • Panigrahi, Bijaya Laxmi;Nelakanti, Gnaneshwar
    • Journal of applied mathematics & informatics
    • /
    • v.32 no.5_6
    • /
    • pp.567-584
    • /
    • 2014
  • In this paper, we consider approximation of eigenelements of a two dimensional compact integral operator with a smooth kernel by discrete collocation and iterated discrete collocation methods. By choosing numerical quadrature appropriately, we obtain convergence rates for gap between the spectral subspaces, and also we obtain superconvergence rates for eigenvalues and iterated eigenvectors. We then apply Richardson extrapolation to obtain further improved error bounds for the eigenvalues. Numerical examples are presented to illustrate theoretical estimates.

STABILITY PROPERTIES IN NONLINEAR DISCRETE VOLTERRA EQUATIONS WITH UNBOUNDED DELAY

  • Choi, Sung Kyu;Kim, Yunhee;Koo, Namjip;Yun, Chanmi
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.26 no.1
    • /
    • pp.197-211
    • /
    • 2013
  • We study some stability properties in discrete Volterra equations by employing to change Yoshizawa's results in [13] for the nonlinear equations into results for the nonlinear discrete Volterra equations with unbounded delay.

ON ω-LIMIT SETS AND ATTRACTION OF NON-AUTONOMOUS DISCRETE DYNAMICAL SYSTEMS

  • Liu, Lei;Chen, Bin
    • Journal of the Korean Mathematical Society
    • /
    • v.49 no.4
    • /
    • pp.703-713
    • /
    • 2012
  • In this paper we study ${\omega}$-limit sets and attraction of non-autonomous discrete dynamical systems. We introduce some basic concepts such as ${\omega}$-limit set and attraction for non-autonomous discrete system. We study fundamental properties of ${\omega}$-limit sets and discuss the relationship between ${\omega}$-limit sets and attraction for non-autonomous discrete dynamical systems.

DISCRETE COMPACTNESS PROPERTY FOR GENERAL QUADRILATERAL MESHES

  • KIM, JI HYUN
    • Journal of applied mathematics & informatics
    • /
    • v.40 no.5_6
    • /
    • pp.949-958
    • /
    • 2022
  • The aim of this papaer is to prove the discrete compactness property for modified Raviart-Thomas element(MRT) of lowest order on quadrilateral meshes. Then MRT space can be used for eigenvalue problems, and is more efficient than the lowest order ABF space since it has less degrees of freedom.

Recurrent Discrete Flows on Totally Disconnected Spaces

  • Hong, Seung-Heui;Koo, Ki-Shik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.1 no.1
    • /
    • pp.65-69
    • /
    • 1988
  • In this paper dynamical properties of recurrent discrete flows are stated. The pointwise periodic discrete flows on totally disconnected spaces are of characteristic 0.

  • PDF