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Original Articles

Stability regions for one-step multiderivative methods in PECE mode with application to stiff systems

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Pages 323-338 | Received 01 Sep 1984, Published online: 19 Mar 2007

References

  • Cash , J.R. 1980 . On the integration of stiff systems of o.d.e.'s using extended backward differentiation formulae . Numer. Math , 34 : 235 – 246 .
  • Lambert , J.D. 1973 . Computational Methods in Ordinary Differential Equations , Chichester : Wiley .
  • Lambert , J.D. and Mitchell , A.R. 1962 . On the solution of y′ = f(x y) by a class of high accuracy difference formulae of low order . Z. Angew. Math. Phys , 13 : 223 – 232 .
  • Liniger , W. and Willoughby , R.A. 1967 . Efficient numerical integration methods for stiff systems of differential equations , Yorktown Heights, NY : Watson Research Centre . IBM Research Report RC—1970
  • Milne , W.E. 1949 . A note on the numerical integration of differential equations . J. Res.Nat. Bur. Standards , 43 : 537 – 542 .
  • Twizell , E.H. and Khaliq , A.Q.M. 1981 . One-step multiderivative methods for first order ordinary differential equations . BIT , 21 : 518 – 527 .
  • Twizell E. H. Khaliq A. Q. Technical Report TR/02/81 University Department of Mathematics M.Brunei 1981

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