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Table 1 Example 1. L 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
  L error Order L error Order L error Order
40 7.59E−03   7.16E−05   1.23E−03  
80 3.03E−03 1.32 8.78E−06 3.03 9.95E−05 3.63
160 6.37E−04 2.25 1.17E−06 2.90 1.31E−05 2.92
320 9.85E−05 2.69 1.48E−07 2.99 6.58E−07 4.32
640 1.28E−05 2.94 1.95E−08 2.93 8.75E−09 6.23