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Table 8 Example 4. L1 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
  L1 error Order L1 error Order L1 error Order
40×40 1.08E−04   1.15E−04   9.39E−05  
80×80 2.31E−05 2.23 2.51E−05 2.20 2.13E−05 2.14
160×160 4.04E−06 2.51 4.17E−06 2.59 4.10E−06 2.38
320×320 3.87E−07 3.38 3.93E−07 3.41 4.04E−07 3.34
640×640 4.10E−08 3.24 4.12E−08 3.25 6.37E−08 2.66
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