References

** Next:** Acknowledgements
**Up:** ODE Chapter
** Previous:** Miscellaneous Exercises

## References

**1**-
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.

**3**-
F. Brauer and J.A. Nohel,
*Ordinary Equations with Applications*,
Harper and Row, New York, 1986.

**4**-
L.F. Sampine and M.K. Gordon,
*Computer Solution of Ordinary Differential Equations: the
Initial Value Problem*,
Freeman, 1975.

**5**-
C.W. Gear,
*Numerical Initial Value Problems in Ordinary Differential
Equations*,
Prentice Hall, 1971.

**6**-
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.

**8**-
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.

**9**-
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.

**11**-
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.

**13**-
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.

*verena@csep1.phy.ornl.gov*