• Title of article

    The stability of rational approximations of cosine functions on Hilbert spaces

  • Author/Authors

    Alonso-Mallo، نويسنده , , I. and Cano، نويسنده , , B. and Moreta، نويسنده , , M.J.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    18
  • From page
    21
  • To page
    38
  • Abstract
    In this paper, it is proved the stability of rational methods for the time discretization of abstract well-posed second order in time problems where the differential operator generates a cosine function. The particular case of operators associated to a sesquilinear form is studied in detail. These rational methods are suitable for these problems and they can be defined, for example, by using Runge–Kutta–Nyström methods.
  • Keywords
    Hilbert spaces , Rational methods , stability , Second order in time evolutionary problems , Runge–Kutta–Nystr?m methods
  • Journal title
    Applied Numerical Mathematics
  • Serial Year
    2009
  • Journal title
    Applied Numerical Mathematics
  • Record number

    1529078

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1529078