Talk:Beeman's algorithm: Difference between revisions

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Beeman, 1976: equations from the original(?) article, not the same as here.
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r_{n+1}&=r_n+hv_n+\frac{h^2}{6}(4a_n-a_{n-1})+\frac{h^4}{8}r_n^{(4)};\\
\text{corrector }& \text{ (after computation of }a_{n+1})\\
r_{n+1}&=r_n+hv_n+\frac{h^2}{6}(a_{n+1}+-2a_n)-\frac{h^4}{12}r_n^{(4)};\\
hv_{n+1}&=r_{n+1}-r_n+\frac{h^2}{6}(2a_{n+1}+a_n)-\frac{h^4}{24}r_n^{(4)}.
\end{align}</math>