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  • Conservation laws and shocks

Conservation laws and shocks#

Inviscid Burgers’ equation: shocks, rarefactions, and Godunov’s finite-volume method against oscillating second-order schemes.

Godunov’s method: capturing shocks without oscillations

Godunov's method: capturing shocks without oscillations

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The Lax-Wendroff scheme: second order, and dispersive wiggles

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Godunov’s method: capturing shocks without oscillations
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