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Section B

Stability of θ-methods for linear delay-integro-differential systems

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Pages 2697-2705 | Received 04 Sep 2007, Accepted 31 Dec 2008, Published online: 01 Jun 2010

References

  • Baker , C. T.H. and Ford , N. J. 1992 . Stability properties of a scheme for the approximate solution of a delay-integro-differential equation . Appl. Numer. Math. , 9 : 357 – 370 .
  • Bellen , A. and Zennaro , M. 2003 . Numerical Methods for Delay Differential Equations , New York : Oxford University Press .
  • Hale , J. K. and Verduyn Lunel , S. M. 1993 . Introduction to Functional Differential Equations , New York : Springer-Verlag .
  • In't Hout , K. J. and Spijker , M. N. 1991 . Stability analysis of numerical methods for delay differential equations . Numer. Math. , 59 : 807 – 814 .
  • Jackiewicz , Z. 1986 . Quasilinear multistep methods and variable-step predictor–corrector methods for neutral functional-differential equations . SIAM J. Numer. Anal. , 23 : 423 – 452 .
  • Jerri , A. 1999 . Introduction to Integral Equations with Applications , New York : Wiley .
  • Koto , T. 2002 . Stability of Runge–Kutta methods for delay integro-differential equations . J. Comput. Appl. Math. , 145 : 483 – 492 .
  • Koto , T. 2003 . Stability of θ-methods for delay integro-differential equations . J. Comput. Appl. Math. , 161 : 393 – 404 .
  • Pólya , G. and Szegö , G. 1972 . Problems and Theorems in Analysis I , Berlin : Springer .
  • Zennaro , M. 1986 . P-stability properties of Runge–Kutta methods for delay differential equations . Numer. Math. , 49 : 305 – 318 .
  • Zhang , C. J. and Vandewalle , S. 2004 . Stability analysis of Runge–Kutta methods for nonlinear Volterra delay-differential equations . IMA J. Numer. Anal. , 24 : 193 – 214 .

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