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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