Sentence examples for benchmark problems are treated from inspiring English sources

Two benchmark problems are treated to illustrate the success of the algorithm: that of a punctured membrane and that of a cantilever beam in cross flow.

Singular impulsive problems are treated in [22 24].

The problem is treated as an initial-value problem.

The problem was treated as managerial, not moral or political.

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.

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.

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

For parameter estimation only, several benchmark problems are publicly available, e.g. in the data base EASY-FIT (Schittkowski, 2002).