Asymptotic Stability of Runge-Kutta Methods for Nonlinear Multi-Delay Differential Equations

  • XIAO Fei-yan ,
  • WANG Wen-qiang
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Online published: 2005-01-25

Cite this article

XIAO Fei-yan , WANG Wen-qiang . Asymptotic Stability of Runge-Kutta Methods for Nonlinear Multi-Delay Differential Equations[J]. Journal of Hebei University(Natural Science Edition), 2005 , 25(2) : 135 -139 . DOI: 10.3969/j.issn.1000-1565.2005.02.004

References

[1] 王文强, 肖飞雁, 李寿佛. 非线性MDDEs的单支方法的稳定性 [J]. 吉首大学学报(自然科学版) 2000.doi:10.3969/j.issn.1007-2985.2000.01.007
[2] HUANG CHENG-MING. Numerical analysis of nonlinear delay differential equations [D]. 北京:中国科学院 1999.
[3] 张诚坚. 非线性MDDEs系统的隐式Euler法的稳定性 [J]. 湖南大学学报(自然科学版) 1998, 25.
[4] 李寿佛. 刚性微分方程算法理论 [M]. 长沙:湖南科学技术出版社 1997.
[5] HU G D, MITSUI T. Stability analysis of numerical methods for systems of neutral d elay-differential equations [J]. Bit Numerical Mathematics 1995, 35.
[6] HUANG CHENG MING, FU HONGYUAN, LI SHOUFU. Stability analysis of Runge-Kutta methols for non-linear delay differential equations [J]. Bit Numerical Mathematics 1999, 39.
[7] 张诚坚, 廖晓昕. ASYMPTOTIC BEHAVIOR OF MULTISTEP RUNGE-KUTTA METHODS FOR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS [J]. 2001.
[8] TIAN H J, KUANG J X. The stability of the θ-methods in the numerical solution of delay differential equations with several delay terms [J]. Journal of Computational and Applied Mathematics 1995, 58.
[9] ZHANG CHENGJIAN, CAO DINGHUA. (D, λ)-suitability of implicit Runge-Kutta methods [J]. Mathematica AppliCata 1999, 12(02).
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