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Fix typo
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dmcdougall committed Dec 9, 2014
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4 changes: 2 additions & 2 deletions lessons/03_wave/03_04_MUSCL.ipynb
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"source": [
"Godunov proposed a first-order method in 1959 that uses the integral form of the conservation laws, Equation (1), and a piecewise constant representation of the solution, as shown in Figure (2). Notice that representing the solution in this way is like having a myriad little shocks at the cell boundaries (control surfaces).\n",
"Godunov proposed a first-order method in 1959 that uses the integral form of the conservation laws, Equation (1), and a piecewise constant representation of the solution, as shown in Figure (2). Notice that representing the solution in this way is like having a myriad of little shocks at the cell boundaries (control surfaces).\n",
"\n",
"For each control surface, we have *two values* for the solution $e$ at a given time: the constant value to the left, $e_L$, and the constant value to the right, $e_R$. A situation where you have a conservation law with a constant initial condition, except for a single jump discontinuity is called a **Riemann problem**. \n",
"\n",
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"metadata": {}
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]
}
}

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