Sentence examples for benchmark problems are analyzed from inspiring English sources

Several numerical benchmark problems are analyzed.

In order to demonstrate the feasibility and accuracy of TASNAM in FLUENT, three neutronics benchmark problems, the 2D-IAEA, 2D-TWIGL, and 2D-LRA benchmark problem are analyzed.

These problems are analyzed with pure FVM, pure LBM, and Finite type-LB hybrid method (FTLBHM) and the related results are compared with each other and with benchmark data.

Non-stationary problems are analyzed.

Numerical results for typical benchmark problems are presented and analyzed.

The dam-break problem was analyzed because it has been widely studied experimentally and numerically, representing a benchmark problem for verifying numerical models involving free-surface flows.

Some benchmark problems are solved to support our discussion.

Several benchmark problems are solved using the proposed method.

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

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.

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