On explicit discontinuous Galerkin methods for conservation laws

Length-scales for efficient CFL conditions in high-order methods with distorted meshes: Application to local-timestepping for p-multigrid

“…Across the last three decades, studies have demonstrated the so-called "p-dependence of CFL-number" for HO methods, i.e. with increasing p, a decrease is observed in the maximum value of C for which the time-integrator is stable [4,5,6,11,12,13]. As we have seen earlier, if all quantities are chosen aptly C must always approach 1 from the lower limit.…”