journal6 ›› 2007, Vol. 28 ›› Issue (4): 20-23.

• Mathematics • Previous Articles     Next Articles

Dissipativity of Runge-Kutta Methods for Multidelay Differential Equations


  1. (School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,Hunan China)
  • Online:2007-07-25 Published:2012-06-15

Abstract: This paper is concerned with the dissipativity of Runge-Kutta methods for multidelay differential equations.The GD(l)-dissipativity is introduced.It is proved that Runge-Kutta method is dissipative for multidelay differential equations when it is algebraically stable.The result shows that the numerical method considered inherit the dissipativity of the equation.

Key words: multidelay differential equations, Runge-Kutta methods, dissipativity

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