Extended Error Expansion of Classical Midpoint Rectangle Rule for Cauchy Principal Value Integrals on an Interval

Table 4

Errors and convergence for the midpoint rectangle rule with .

32	4.4135e − 003	—	2.9313e − 001	1.8911e − 001
64	2.2443e − 003	—	1.4833e − 001	9.5823e − 002
128	1.1313e − 003	—	7.4603e − 002	4.8228e − 002
256	5.6792e − 004	—	3.7411e − 002	2.4193e − 002
512	2.8452e − 004	—	1.8733e − 002	1.2116e − 002
1024	1.4240e − 004	—	9.3735e − 003	6.0631e − 003
Convergence ratio	0.9908	—	0.9934	0.9926