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Original Articles

Auxiliary linear multistep methods: implicit

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Pages 115-123 | Received 16 Sep 1987, Accepted 08 Feb 1989, Published online: 19 Mar 2007

References

  • Brush , D. G. , Kohfeld , J. J. and Thompson , G. T. 1967 . Solution of ordinary differential equations using two “off-step” points . J. Ass. Comput. Mach. , 14 : 769 – 784 .
  • Butcher , J. C. 1965 . A modified multistep method for the numerical integration of ordinary differential equations . J. Ass. Comput. Mach. , 12 : 124 – 135 .
  • Butcher , J. C. 1967 . A multistep generalization of Runge-Kutta methods with four or five stages . J. Ass. Comput. Mach. , 14 : 84 – 99 .
  • Dahlquist , G. 1956 . Convergence and stability in the numerical integration of ordinary differential equations . Math. Scand. , 4 : 33 – 53 .
  • Gear , C. W. 1965 . Hybrid methods for initial value problems in ordinary differential equations . SIAM J. Numer. Anal. , 2 : 69 – 86 .
  • Gragg , W. B. and Stetter , H. J. 1964 . Generalized multistep predictor-corrector methods . J. Ass. Comput. Mach. , 11 : 188 – 209 .
  • Henrici , P. 1962 . Discrete methods in ordinary differential equations , New York : Wiley .
  • Jain , M. K. 1979 . Numerical solution of differential equations , New Delhi : Wiley .
  • Kohfeld , J. J. and Thompson , G. T. 1967 . Multistep methods with modified predictors and correctors . J. Ass. Comput. Mach. , 14 : 155 – 166 .
  • Krylov , V. I. 1962 . Approximate calculation of integrals , New York : Wiley .
  • Lambert , J. D. 1973 . Computational methods in ordinary differential equations , New York : Wiley .
  • Lapidus , L. and Seinfeld , J. H. 1971 . Numerical solution of ordinary differential equations , New York : Academic Press .
  • Sahoo , G. and Datta , N. 1989 . Auxiliary linear multistep methods: Explicit . Int. J. Comp. Math. , 24 : 101 – 115 .

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