Sentence examples for benchmark problems are implemented from inspiring English sources

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Finally, some benchmark problems are implemented to assess the theoretical results.

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To demonstrate that the proposed method can be applied to model validation problems successfully, a validation benchmark, the static frame challenge problem, is implemented.

The problem is implemented in Matlab.

Implementations of the benchmark problems are provided as Additional files 2 and 3.

Several numerical benchmark problems are analyzed.

Some benchmark problems are solved to support our discussion.

Several benchmark problems are solved using the proposed method.

Numerical results for typical benchmark problems are presented and analyzed.

In comparison, our benchmark problems are typically smaller and address the more specific need of evaluating algorithms identifying both structure and parameters, fully specifying problems as optimization problems.

A system of benchmark problems is proposed for future reference.

Eight benchmark problems were used for evaluating the performance.

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