Sensitivity Analysis Based on Polynomial Chaos Expansions and Its Application in Ship Uncertainty-Based Design Optimization

Table 5

Comparison of the mean with the different number of collocation points.

Number of collocation points (N)	PCE				MC
					(N=1000)
N=2P	2.591 (25.6%)	3.098 (11.1%)	2.925 (16.1%)	3.503 (0.5%)
N=3P	2.614 (24.9%)	3.112 (10.7%)	3.441 (1.3%)	3.478 (0.2%)
N=4P	2.685 (22.9%)	3.159 (9.4%)	3.468 (1.3%)	3.491 (0.2%)	3.485
Full rank	2.912 (19.3%)	3.279 (5.9%)	3.472 (0.4%)	3.489 (0.1%)
IPCM	2.676 (23.2%)	3.185 (8.6%)	3.450 (1.0%)	3.495 (0.2%)