The numerical stability of the 0-method for delay differential equations with many variable delays

Journal of Computational Mathematics

Volumn 17, Issue 5, 1999, Pages 523-532

  Qiu, Lin ^a,b   Mitsui, Taketomo ^a   Kuang, Jiao Xun ^a  

^a NAGOYA UNIVERSITY   (Japan)

^b SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

Methods; Delay differential equation; Numerical stability; Variable delays

Indexed keywords

EID: 0242401394     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. Z. Jackiewicz, Asymptotic stability analysis of the θ-methods for functional equation, Numer.Math., 43 (1984), 389-396.
2. M.Z. Liu, M.N. Spijker, The stability of the θ-methods in the numerical solution of delay differential equations, IMA J.Num.Anal, 10 (1990), 31-48.
3. Y. Liu, Stability analysis of the θ-methods for neutral functional-differential equations, Numer.Math., 70 (1995), 473-483.
4. H.J. Tian and J.X. Kuang, The stability analysis of the θ-methods for delay differential equations, J.CM., 14 (1996).
5. H.J. Tian and J.X. Kuang, The stability of the θ-methods in numerical solution of delay differential equations with several delay terms, J.Comput.Appl.Math., 58 (1995), 171-181.