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Table 7 Example 4. L errors and numerical orders of temporal accuracy obtained with the GSA IMEX-ARS3 WCNS at t=0.02

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

M×N ε=0.01 ε=0.1 ε=1
  L error Order L error Order L error Order
40×40 2.08E−03   2.10E−03   2.24E−03  
80×80 8.02E−04 1.37 7.98E−04 1.40 7.76E−04 1.53
160×160 3.01E−04 1.42 3.02E−04 1.40 3.02E−04 1.36
320×320 5.64E−05 2.41 5.76E−05 2.39 6.53E−05 2.21
640×640 8.36E−06 2.76 8.35E−06 2.79 8.36E−06 2.96
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