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Table 1 Computation costs of the transport maps depending on the derivatives order information given to the minimization algorithm

From: Real-time data assimilation and control on mechanical systems under uncertainties

Derivatives order information

\({\mathbf {0}}\)

\({\mathbf {1}}\)

\({\mathbf {2}}\)

Number of iterations for step 1

107

33

10

Computation time for step 1

33.85 s

6.18 s

4.60 s

Average number of iterations for steps \(\{2,\ldots ,45\}\)

4.2

4.16

4.13

Average computation time for steps \(\{2,\ldots ,45\}\)

1.24 s

0.92 s

0.90 s