Documentation Center

  • Trial Software
  • Product Updates

Selected Bibliography for Differential Equations

[1] Ascher, U., R. Mattheij, and R. Russell, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, SIAM, Philadelphia, PA, 1995, p. 372.

[2] Cebeci, T. and H. B. Keller, "Shooting and Parallel Shooting Methods for Solving the Falkner-Skan Boundary-layer Equation," J. Comp. Phys., Vol. 7, 1971, pp. 289-300.

[3] Hairer, E., and G. Wanner, Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems, Springer-Verlag, Berlin, 1991, pp. 5-8.

[4] Hindmarsh, A. C., "LSODE and LSODI, Two New Initial Value Ordinary Differential Equation Solvers," SIGNUM Newsletter, Vol. 15, 1980, pp. 10-11.

[5] Hindmarsh, A. C., and G. D. Byrne, "Applications of EPISODE: An Experimental Package for the Integration of Ordinary Differential Equations," Numerical Methods for Differential Systems, L. Lapidus and W. E. Schiesser eds., Academic Press, Orlando, FL, 1976, pp 147-166.

[6] Ottesen, J. T., "Modelling of the Baroflex-Feedback Mechanism with Time-Delay," J. Math. Biol., Vol. 36, 1997.

[7] Shampine, L. F., Numerical Solution of Ordinary Differential Equations, Chapman & Hall Mathematics, 1994.

[8] Shampine, L. F., and M. K. Gordon, Computer Solution of Ordinary Differential Equations, W.H. Freeman & Co., 1975.

[9] Skeel, R. D. and M. Berzins, "A Method for the Spatial Discretization of Parabolic Equations in One Space Variable," SIAM Journal on Scientific and Statistical Computing, Vol. 11, 1990, pp. 1-32.

[10] W.H. Enright and H. Hayashi, "The Evaluation of Numerical Software for Delay Differential Equations," R. Boisvert (Ed.), The Quality of Numerical Software: Assessment and Enhancement, Chapman & Hall, London, 1997, pp. 179-192.

Was this topic helpful?