Entropy-conservative diagonal-norm SBP flux-differencing schemes converge at order p to smooth solutions of general entropy-symmetrizable hyperbolic systems under periodic boundaries.
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations
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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws
Entropy-conservative diagonal-norm SBP flux-differencing schemes converge at order p to smooth solutions of general entropy-symmetrizable hyperbolic systems under periodic boundaries.