. Author manuscript; available in PMC: 2010 Jun 16.

Published in final edited form as: Comput Phys Commun. 2008 Dec 1;179(11):791–800. doi: 10.1016/j.cpc.2008.07.001

Table 3.

Convergence analysis for the mid-point Runge–Kutta scheme-based IIM with M = 25 (ε₂ = 2.25 and μ₂ = 1 or 2)

Grid

μ₂ = 1

μ₂ = 2

||E||

Order

||E||

Order

50 × 50

\frac{1}{25}

\frac{1}{250}

2.49E–1

5.51E–1

100 × 100

\frac{1}{50}

\frac{1}{500}

5.35E–2

2.22

1.35E–1

2.03

200 × 200

\frac{1}{100}

\frac{1}{1000}

1.37E–2

1.97

3.63E–2

1.89

400 × 400

\frac{1}{200}

\frac{1}{2000}

3.29E–3

2.06

1.70E–2

1.10