Technical report thornton research centre shell

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Unformatted text preview: amily of embedded Runge-Kutta formulae. J. Comput. Appl. Math., 6:19{26, 1980. 65 10] C.W. Gear. Numerical Initial Value Problems in Ordinary Di erential Equations. Prentice Hall, Englewood Cli s, 1971. 11] R.D. Grigorie and J.Schroll. Uber A(alpha)-stable verfahren hoher konsistenzordnung. Computing, 20:343{350, 1978. 12] E. Hairer, S.P. Norsett, and G. Wanner. Solving Ordinary Di erential Equations I: Nonsti Problems. Springer-Verlag, Berlin, second edition, 1993. 13] E. Hairer and G. Wanner. Solving Ordinary Di erential Equations II: Sti and Di erential Algebraic Problems. Springer-Verlag, Berlin, 1991. 14] P. Henrici. Discrete Variable Mehtods in Ordinary Di erential Equations. John Wiley and Sons, New York, 1962. 15] A. Nordsieck. On numerical integration of ordinary di erential equations. Maths. Comp., 16:22{49, 1962. 16] L.F. Shampine and M.K. Gordon. Computer Solution of Ordinary Di erential Equations. W.H. Freeman, San Francisco, 1975. 17] G. Wanner, E Hairer, and S.P. Norsett. Order stars and stability theorems. BIT, 18:475{489, 1978. 18] O. Widlund. A note on unconditionally stable linear multistep methods. BIT, 7:65{70, 1967. 66...
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