ODE References and Further Reading - GNU Scientific Library -- Reference Manual
Description: GNU Scientific Library -- Reference Manual

Previous: ODE Example programs, Up: Ordinary Differential Equations

### 26.6 References and Further Reading

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.

The GNU Scientific Library - a free numerical library licensed under the GNU GPL
Back to the GNU Scientific Library Homepage