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MusclHancock

v25	v26
38	38	where [[latex($ \triangle _i $)]] is called a 'slope' for [[latex($ u_i ^n $)]], that is for the elements of [[latex($ \vec{u} $)]] in cell i on the nth time level. Using a linear function produces 2 extreme values of each cell, one on the left and on the right. These values are crucial in the MH scheme and their role will be presented shortly. A schematic of the situation is as follows:
39	39
40		[[Image(MusclReconstruction.png, 35%]]
	40	[[Image(MusclReconstruction.png, 35%)]]
41	41
42	42	At this point, we are left with a higher order accurate code, but not one that is free of spurious oscillations near large gradients. To circumvent this, we need to add a TVD measure.