Research Article
Sensitivity Analysis Based on Polynomial Chaos Expansions and Its Application in Ship Uncertainty-Based Design Optimization
Table 6
Comparison of standard deviation with different number of collocation points.
| | Number of collocation points (N) | PCE | MC | | | | | (N=1000) |
| | N=2P | 2.786 (24.5%) | 3.352 (9.1%) | 3.016 (18.3%) | 3.743 (1.4%) | | | N=3P | 2.828 (23.4%) | 3.401 (7.8%) | 3.639 (1.4%) | 3.735 (1.1%) | | | N=4P | 2.953 (19.9%) | 3.414 (7.5%) | 3.645 (1.2%) | 3.728 (1.0%) | 3.691 |
| | Full rank | 3.014 (18.3%) | 3.536 (4.2%) | 3.727 (0.9%) | 3.699 (0.2%) | | | IPCM | 2.711 (26.5%) | 3.421 (7.3%) | 3.728 (1.0%) | 3.725 (0.9%) | |
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