Question: TVD of a Model Problem Analyze whether the upwind scheme (6.22), the LaxFriedrichs scheme (6.25) and the LaxWendroff scheme (6.30) applied to the scalar partial

TVD of a Model Problem Analyze whether the upwind scheme (6.22), the Lax–Friedrichs scheme (6.25) and the Lax–Wendroff scheme (6.30) applied to the scalar partial differential equation ut + aux = 0 , a> 0, t ≥ 0, x ∈ IR satisfy the TVD property. Hint: Apply Lemma 6.3.

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