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Many of the 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.
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