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# Approximating pstar and ustar

The Godunov method relies on the solution of pressure and velocity inside of the star region set up within local Riemann problems, which before now, has been done using an iterative approach inside of the Exact Riemann Solver. The iterative approach is computationally costly, and so if we could devise schemes which approximate pstar and ustar, we can make a more efficient time marching procedure.

# Linearization of the Euler equations

There are 2 methods which make use of approximating the Euler equations themselves in linearized form.

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