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Table 4 Example 1. L1 errors and numerical orders of temporal accuracy obtained with the SA IMEX-ARS3 WCNS at t=0.1

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
40 4.87E−03   3.10E−05   1.05E−04  
80 1.79E−03 1.45 3.94E−06 2.98 8.36E−06 3.65
160 3.29E−04 2.44 4.86E−07 3.02 4.77E−07 4.13
320 4.73E−05 2.80 6.08E−08 3.00 5.39E−09 6.47
640 6.10E−06 2.95 7.53E−09 3.01 1.27E−10 5.41