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Table 6 Example 1. L1 errors and numerical orders of spatial accuracy obtained with the GSA IMEX-ARS3 WCNS at t=0.05

From: High order semi-implicit weighted compact nonlinear scheme for the all-Mach isentropic Euler system

N ε=0.01 ε=0.1 ε=1
  L1 error Order L1 error Order L1 error Order
20 5.58E−04   4.21E−05   1.10E−03  
40 3.13E−05 4.16 6.63E−07 5.99 1.29E−05 6.42
80 4.57E−06 2.78 5.99E−09 6.79 1.13E−07 6.83
160 9.96E−08 5.52 9.91E−12 9.24 8.92E−10 6.98
320 5.53E−11 10.81 9.86E−13 3.33 5.42E−12 7.36