A stability property of A-stable collocation-based Runge-Kutta methods for neutral delay differential equations

BIT Numerical Mathematics

Volumn 36, Issue 4, 1996, Pages 855-859

  Koto, Toshiyuki ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

A stability; Collocation; Neutral delay differential equations; Runge Kutta methods

Indexed keywords

EID: 1542610632     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01733796     Document Type: Article

References (8)

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2. J. K. Hale, E. F. Infante, and F.-S. P. Tsen, Stability in linear delay equations, J. Math. Anal. Appl., 105 (1985), pp. 533-555.
3. J. K. Hale and S. M. V. Lunel, Introduction to Functional Differential Equations, Springer-Verlag, Berlin-Heidelberg-New York, 1993.
4. Z. Jackiewicz, One-step methods of any order for neutral functional differential equations, SIAM J. Numer. Anal., 21 (1984), pp. 486-511.
5. T. Koto, A stability property of A-stable natural Runge-Kutta methods for systems of delay differential equations, BIT, 34 (1994), pp. 262-267.
6. M. Zennaro, Natural continuous extensions of Runge-Kutta methods, Math. Comput., 46 (1986), pp. 119-133.
7. M. Zennaro, P-stability properties of Runge-Kutta methods for delay differential equations, Numer. Math., 49 (1986), pp. 305-318.
8. M. Zennaro, Natural Runge-Kutta and projection methods, Numer. Math., 53 (1988), pp. 423-438.