26.7 References and Further Reading
- Ascher, U.M., Petzold, L.R., Computer Methods for Ordinary
Differential and Differential-Algebraic Equations, SIAM,
Philadelphia, 1998.
- Hairer, E., Norsett, S. P., Wanner, G., Solving Ordinary Differential
Equations I: Nonstiff Problems, Springer, Berlin, 1993.
- Hairer, E., Wanner, G., Solving Ordinary Differential
Equations II: Stiff and Differential-Algebraic Problems,
Springer, Berlin, 1996.
Many of the basic Runge-Kutta formulas can be found in the Handbook of
Mathematical Functions,
- Abramowitz & Stegun (eds.), Handbook of Mathematical Functions,
Section 25.5.
The implicit Bulirsch-Stoer algorithm bsimp
is described in the
following paper,
- G. Bader and P. Deuflhard, “A Semi-Implicit Mid-Point Rule for Stiff
Systems of Ordinary Differential Equations.”, Numer. Math. 41, 373–398,
1983.