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Original Articles

A general theory of stabilized extended one-step methods for odes

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Pages 253-263 | Received 15 Jun 1995, Published online: 19 Mar 2007

References

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  • Usmani , R. S. and Agarwal , R. P. 1985 . An A-stable extended trapezoidal rule for the numerical integration of ordinary differential equations . Computers Math. Applic. , 11 : 1183 – 1191 .
  • Jacques , I. B. 1989 . Extended one-step methods for the numerical solution of ordinary differential equations . Intern. J. Computer Math. , 29 : 247 – 255 .
  • Chawla , M. M. , Al-Zanaidi , M. A. and Al-Sahhar , M. S. 1994 . Stabilized fourth order extended methods for the numerical solution of ODEs . Intern. J. Computer Math. , 52 : 99 – 107 .
  • Chawla , M. M. , Al-Zanaidi , M. A. and Al-Sahhar , M. S. 1995 . A class of stabilized extended one-step methods for the numerical solution of ODEs . Computers Math. Applic. , 29 : 79 – 84 .
  • Lambert , J. D. 1991 . Numerical Methods for Ordinary Differential Systems, The initial value problem , London : John Wiley & Sons .
  • Butcher , J. C. 1987 . The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods , Chichester : J. Wiley .
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  • Liniger , W. and Willoughby , R. A. 1970 . Efficient integration methods for stiff systems of ordinary differential equations . SIAM J. Numer. Anal. , 7 : 47 – 66 .

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