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Original Articles

Extended one-step methods for the numerical solution of ordinary differential equations

Pages 247-255 | Received 21 Jun 1988, Accepted 15 Jul 1988, Published online: 08 May 2007

References

  • Dahlquist , G. 1963 . A special stability problem for linear multistep methods . BIT , 3 : 27 – 43 .
  • Usmani , R. A. and Agarwal , R. P. 1985 . An A-stable extended trapezoidal rule for the numerical integration of ordinary differential equations . Comp. & Maths. with Appls. , 11 : 1183 – 1191 .
  • Cash , J. R. 1980 . On the integration of stiff systems of odes using extended backward differentiation formulae . Numer. Math. , 34 : 235 – 246 .
  • Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , London : J. Wiley .
  • Lineger , W. and Willoughby , R. A. 1970 . Efficient numerical integration methods for stiff systems of differential equations . SIAM J. Numer. Anal. , 7 : 47 – 66 .

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