# Splitting methods for the transport equation

$$\frac{\partial u}{\partial t}=\sum_j\mathscr{L}^j_{\textbf{x}}(u)$$

$$\frac{\widetilde{u}_j^{n+1} - \widetilde{u}_j^n}{\Delta t^n_j}=\mathscr{L}^j_{\textbf{x}}(u)$$


## Lie splitting

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## Strang splitting

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