Welcome to grudge's Documentation!

Here's an example to solve the PDE

\begin{cases}
u_t + 2\pi u_x = 0, \\
u(0, t) = -\sin(2\pi t), \\
u(x, 0) = \sin(x),
\end{cases}

on the domain x \in [0, 2\pi]. We closely follow Chapter 3 of [Hesthaven_2008]_.

Plotting numerical solution uh in results in

Contents:

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