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Table 5 Example 1. L 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
  L error Order L error Order L error Order
20 8.70E−03   3.22E−04   4.49E−03  
40 1.80E−04 5.59 1.30E−05 4.63 5.49E−04 3.03
80 2.83E−06 5.99 2.61E−07 5.64 6.68E−05 3.04
160 4.36E−08 6.02 9.34E−10 8.13 1.96E−06 5.09
320 6.59E−10 6.05 1.08E−10 3.11 2.44E−09 9.65
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