diff --git a/README.md b/README.md index 1a484ac..2609bd5 100644 --- a/README.md +++ b/README.md @@ -8,7 +8,21 @@ and more general multi-stages time-integration methods (like Runge-Kutta, etc .. It allows to generate $Q$-coefficients for multi-stages methods (equivalent to Butcher tables) : -![formula](https://qmat.readthedocs.io/en/latest/_static/formula.png) +$$ +Q\text{-coefficients : } +\begin{array}{c|c} +\tau & Q \\ +\hline +& w^\top +\end{array} +\quad \Leftrightarrow \quad +\begin{array}{c|c} +c & A \\ +\hline +& b^\top +\end{array} +\quad\text{(Butcher table)} +$$ and many different **lower-triangular** approximation of the $Q$ matrix, named $Q_\Delta$, which are key elements for Spectral Deferred Correction (SDC), or more general Iterated Runge-Kutta Methods.