Mathematics

Selected Bibliography

[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.

Example: Electrodynamics Problem

Sparse Matrices