• DocumentCode
    2187072
  • Title

    Proper Combination of Integrators and Interpolators for Stable Marching-on-in-Time Schemes

  • Author

    Geranmayeh, A. ; Ackermann, W. ; Weiland, T.

  • Author_Institution
    Tech. Univ. Darmstadt, Darmstadt
  • fYear
    2007
  • fDate
    17-21 Sept. 2007
  • Firstpage
    948
  • Lastpage
    951
  • Abstract
    Mathematicians have proven that few specific collocation methods provide stable numerical solution for the delay differential equations provided the accuracy order of the finite difference approximation matches to that of the temporal interpolation. To adjoin this important conclusion to the development of stable time-domain field integral equation-based solvers, this paper investigates the impact of diverse proposed interpolators over conveniently usable integrators.
  • Keywords
    computational electromagnetics; differential equations; interpolation; collocation methods; delay differential equations; integrators; interpolators; marching-on-in-time schemes; time-domain field integral equation; Delay effects; Differential equations; Electric potential; Finite difference methods; Fluctuations; Integral equations; Interpolation; Moment methods; Stability analysis; Time domain analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on
  • Conference_Location
    Torino
  • Print_ISBN
    978-1-4244-0766-8
  • Electronic_ISBN
    978-1-4244-0767-5
  • Type

    conf

  • DOI
    10.1109/ICEAA.2007.4387462
  • Filename
    4387462