All Tables

• Table 1: Values of the PPM reconstruction parameters used in some of the simulations presented in Sects. 4 and 5.
• Table 2: Errors in the shock tube problems 3 and 6 for HLLE and Roe's approximate Riemann solvers, and Tadmor's central scheme using two different third order spatial reconstructions (CFL = 0.5 and N_x=400).
• Table 3: CPU time per numerical cell and iteration for Tadmor's central scheme and Marquina's flux formula for the different regimes considered in the text, using third order schemes for the cell reconstruction and time update.
• Table 4: L₁ norm errors of the density and convergence rate (r) under grid refinement for problem 4 at t=0.4. Results for three schemes (Marquina, HLLE, and Tadmor) and two reconstruction procedures (PPM and PHM) are shown.