• DocumentCode
    522895
  • Title

    An Optimized Fourth Order Runge-Kutta Method

  • Author

    You, Xiong ; Yao, Xinmeng ; Shu, Xin

  • Author_Institution
    Dept. of Appl. Math., Nanjing Agric. Univ., Nanjing, China
  • Volume
    3
  • fYear
    2010
  • fDate
    4-6 June 2010
  • Firstpage
    46
  • Lastpage
    49
  • Abstract
    In this paper the order conditions for Runge-Kutta methods are presented based on Butcher´s rooted tree theory. A new Runge-Kutta method of order four (MINRK4) is obtained by means of minimizing the error constant. The results of numerical experiments show the competence of the new method in accuracy and efficiency compared with some highly efficient codes in the literature.
  • Keywords
    Runge-Kutta methods; trees (mathematics); Butcher rooted tree theory; optimized fourth order Runge-Kutta method; order conditions; Books; Computer errors; Computer science; Differential equations; Finite wordlength effects; Mathematics; Minimization methods; Nonlinear equations; Optimization methods; Stability; Runge-Kutta method; error constant; minimization; order condition;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information and Computing (ICIC), 2010 Third International Conference on
  • Conference_Location
    Wuxi, Jiang Su
  • Print_ISBN
    978-1-4244-7081-5
  • Electronic_ISBN
    978-1-4244-7082-2
  • Type

    conf

  • DOI
    10.1109/ICIC.2010.195
  • Filename
    5513917
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=522895