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MusclHancock

-              v17
+              v18
 = The Muscl Hancock (MH) Scheme =
 The goal of this method, like other we have looked at, is to solve the system of equations known as the 1D Euler equations,
+The goal of this method, like others we have looked at, is to solve the system of equations known as the 1D Euler equations,
 [[latex($ \frac{\partial \vec{u}}{\partial t} + \frac{\partial f(\vec{u})}{\partial x} = 0 $)]]
+where u is the vector of conserved variables and f is the flux function. We solve this method adhering to the IVBP, the Riemann Problem, using the fully discrete, explicit, conservative formula:
+[[latex($ u_i^ {n+1} = u_i ^n + \frac{\delta t}{\delta x}[f_{i-1/2} - f_{i+1/2}]$)]]
 To produce 2nd-order accuracy, an outline of the MH scheme is as follows.