MATLAB Mathematics - SERC - Index of
MATLAB Mathematics - SERC - Index of
MATLAB Mathematics - SERC - Index of
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5 Differential Equations<br />
Selected Bibliography<br />
[1] Ascher, U., R. Mattheij, and R. Russell, Numerical Solution <strong>of</strong> Boundary<br />
Value Problems for Ordinary Differential Equations, SIAM, Philadelphia, PA,<br />
1995, p. 372.<br />
[2] Cebeci, T. and H. B. Keller, “Shooting and Parallel Shooting Methods for<br />
Solving the Falkner-Skan Boundary-layer Equation,” J. Comp. Phys., Vol. 7,<br />
1971, pp. 289-300.<br />
[3] Hairer, E., and G. Wanner, Solving Ordinary Differential Equations II, Stiff<br />
and Differential-Algebraic Problems, Springer-Verlag, Berlin, 1991, pp. 5-8.<br />
[4] Hindmarsh, A. C., “LSODE and LSODI, Two New Initial Value Ordinary<br />
Differential Equation Solvers,” SIGNUM Newsletter, Vol. 15, 1980, pp. 10-11.<br />
[5] Hindmarsh, A. C., and G. D. Byrne, “Applications <strong>of</strong> EPISODE: An<br />
Experimental Package for the Integration <strong>of</strong> Ordinary Differential Equations,”<br />
Numerical Methods for Differential Systems, L. Lapidus and W. E. Schiesser<br />
eds., Academic Press, Orlando, FL, 1976, pp 147-166.<br />
[6] Ottesen, J. T., “Modelling <strong>of</strong> the Bar<strong>of</strong>lex-Feedback Mechanism with<br />
Time-Delay,” J. Math. Biol., Vol. 36, 1997.<br />
[7] Shampine, L. F., Numerical Solution <strong>of</strong> Ordinary Differential Equations,<br />
Chapman & Hall <strong>Mathematics</strong>, 1994.<br />
[8] Shampine, L. F., and M. K. Gordon, Computer Solution <strong>of</strong> Ordinary<br />
Differential Equations, W.H. Freeman & Co., 1975.<br />
[9] Skeel, R. D. and M. Berzins, “A Method for the Spatial Discretization <strong>of</strong><br />
Parabolic Equations in One Space Variable,” SIAM Journal on Scientific and<br />
Statistical Computing, Vol. 11, 1990, pp.1-32.<br />
5-106