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Table 2 Example 1. L1 errors and numerical orders of temporal accuracy obtained with the GSA 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 4.68E−03   2.59E−05   2.18E−04  
80 1.63E−03 1.52 3.19E−06 3.02 1.18E−05 4.22
160 2.79E−04 2.55 4.00E−07 2.99 5.48E−07 4.42
320 3.88E−05 2.85 5.02E−08 3.00 1.80E−08 4.93
640 4.94E−06 2.97 6.34E−09 2.98 1.40E−09 3.69
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