Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems

Numerische Mathematik

Volumn 84, Issue 3, 2000, Pages 351-374

  Bellen, A ^a   Maset, S ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034407032     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050001     Document Type: Article

References (11)

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3. Banks, H.T., Kappel, F. (1979): Spline approximations for Functional Differential Equations. Journal of Differential Equations 34, 496-522
4. Guglielmi, N. (1998): Delay dependent stability regions of θ-methods for delay differential equations. IMA J. Numer. Anal. 18, 399-418
5. Guglielmi, N. (1997): On the asymptotic stability properties for Runge-Kutta methods for delay differential equations. Numer. Math. 77, 467-485
6. Guglielmi, N., Hairer, E.: Order stars and stability for delay differential equations. Numer. Math., in press
7. in 't Hout, K.J. (1994): The stability of θ-methods for systems of delay differential equations. Annals of Num. Maths. 1, 323-334
8. Koto, T. (1994): A stability properties of A-stable natural Runge-Kutta methods for systems of delay differential equations. BIT 34, 262-267
9. Diekmann, O., van Gils, S.A., Verduyn Lunel, S.M., Walther, H.-O. (1995): Delay Equations Functional-, -Complex, and Nonlinear Analysis. AMS series 110, Springer
10. Watanabe, D.S., Roth, M.G. (1985): The stability of difference formulas for delay differential equations. SIAM J. Numer. Anal. 22, 132-145
11. Zennaro, M. (1986): P-stability properties of Runge-Kutta methods for delay differential equations. Numer. Math. 49, 305-318