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Table 9 The expected values and variances of a(t, a 0 , K I c ) at times t{3,000,3,500,3,550} computed by SCM5, UKF, MEgPC and Monte Carlo simulation based on 10 6 samples

From: An accuracy comparison of polynomial chaos type methods for the propagation of uncertainties

Time

Expected value

Variance

SCM5

MEgPC

UKF

MCS

SCM5

MEgPC

UKF

MCS

3,000

0.1343

0.1343

0.1342

0.1343

2.55710−5

2.56210−5

2.14210−5

2.56610−5

3,500

0.1504

0.1504

0.1497

0.1504

1.66310−4

1.67410−4

1.09810−4

1.66710−4

3,550

0.1534

0.1534

0.1521

0.1534

2.66110−4

2.71810−4

1.40410−4

2.71810−4