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References

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D.A. Sanchez, R.C. Allen, Jr., and W.T. Kyner, Differential Equations. Addison-Wesley. 1988.

2
W.E. Boyce and R.C. DiPrima, Elementary Differential Equations, 4th ed, Wiley, New York, 1986.

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F. Brauer and J.A. Nohel, Ordinary Equations with Applications, Harper and Row, New York, 1986.

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L.F. Sampine and M.K. Gordon, Computer Solution of Ordinary Differential Equations: the Initial Value Problem, Freeman, 1975.

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C.W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice Hall, 1971.

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L.F. Shampine and C.W. Gear, A Users view of Solving Stiff Ordinary Differential Equations, SIAM Review, 21 (1979) pp. 1-17.

7
R.W. Brankin, I. Gladwell, and L.F. Shampine, RKSUITE: a Suite of Runge-Kutta Codes for the Initial Value Problem of ODEs. Softreport 92-S1, Department of Mathematics, Southern Methodist University, Dallas, TX, USA, 1992.

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P.N. Brown, G.D. Byrne, and A.C. Hindmarsh, VODE: a Variable-coefficient ODE Solver, SIAM J.Sci. Stat. Comput., Vol. 10, No. 5, pp. 1038-1051, Sept. 1989.

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J. Butcher The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods Wiley, 1987.

10
G. Hall and J. Watt Modern Numerical Methods for Ordinary Differential Equations, Clarendon Press, 1976.

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J. Lambert, Numerical Methods for Ordinary Differential Equations, Wiley, 1991.

12
J. Lambert, S.P. Norseth, and C. Warner, Solving Ordinary Differential Equations I: Nonstiff Problems, Springer-Verlag 1987.

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E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer-Verlag, 1991.

14
L.F. Shampine, Numerical Solution of Ordinary Differential Equations, Chapman & Hall, 1994.

15
D. Kahaner, C. Moler, and S. Nash, Numerical Methods and Software, Prentice-Hall, 1989.

16
G. Forsythe, M. Malcolm, and C. Moler, Computer Methods for Mathematical Computations, Prentice-Hall, 1977.

17
L. Shampine and R.C. Allen, Jr. Numerical Computing: An Introduction, Saunders, 1973.

18
M. Abramowitz and I.E. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, Inc., New York, 1977.