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Table 3 Example 1. L 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
  L error Order L error Order L error Order
40 7.90E−03   9.18E−05   6.50E−04  
80 3.34E−03 1.24 1.09E−05 3.07 9.50E−05 2.78
160 7.45E−04 2.16 1.40E−06 2.97 1.71E−05 2.47
320 1.19E−04 2.65 1.75E−07 3.00 1.97E−07 6.44
640 1.57E−05 2.92 2.19E−08 3.00 6.74E−10 8.19