Acta Mathematicae Applicatae Sinica

, Volume 17, Issue 2, pp 240–246 | Cite as

Asymptotic behavior of multistep runge-kutta methods for systems of delay differential equations

  • Zhang Chengjian
  • Liao Xiaoxin
Article
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Abstract

This paper deals with the asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations (DDEs). With the help of K.J. in't Hout's analytic technique for the numerical stability of onestep Runge-Kutta methods, we obtain that a multistep Runge-Kutta method for DDEs is stable iff the corresponding methods for ODEs isA-stable under suitable interpolation conditions.

Key words

Stability multistep Runge-Kutta methods DDEs 
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Copyright information

© Science Press 2001

Authors and Affiliations

  • Zhang Chengjian
    • 1
  • Liao Xiaoxin
    • 1
  1. 1.Department of MathematicsHuazhong University of Science and TechnologyWuhanChina

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