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Fully discrete multi-entropy-stable compact Runge--Kutta discontinuous Galerkin methods for hyperbolic conservation laws
We develop fully discrete multi-entropy-stable high-order compact Runge--Kutta discontinuous Galerkin (cRKDG) methods for hyperbolic conservation laws. Our main result is a weak cell entropy inequality for multi-dimensional systems after one full high-order Runge--Kutta (RK) time step. The proof exp
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