The stability analysis of the θ-methods for delay differential equations

Journal of Computational Mathematics

Volumn 14, Issue 3, 1996, Pages 203-212

  Tian, H J ^a   Kuang, J X ^a  

^a SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005717397     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

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7. M.Z. Liu and M.N. Spijker, The stability of the θ-methods in the numerical solution of delay differential equations, IMA J.Numer.Anal., 10(1) (1990), 31-48.
8. L. Lu, Numerical stability of the θ-methods for systems of differential equations with several delay terms, J.C.A.M., 34(1991), 291-304.
9. L. Torelli, Stability of numerical methods for delay differential equations, J.C.A.M., 25(1989), 15-26.
10. D.S. Watanabe and M.G. Roth, The stability of difference formulas for delay differential equations, SIAM J.Numer.Anal, 22(1985), 132-145.
11. D.M. Young, Iterative Solution of Large Linear Systems, Academic Press, New York 1971.
12. M. Zennaro, P-stability properties of Runge-Kutta methods for delay differential equations, Numer.Math., 49(1986), 305-318.