Sentence examples for solutions to validate from inspiring English sources

Numerical results obtained are compared with the existing solutions to validate the code.

We compare the numerical results to analytical solutions to validate the method.

The algorithm is then applied to simulate fluid flows with exact solutions to validate this new algorithm.

We simulate a set of problems with exact or approximate analytical solutions to validate the numerical model proposed.

Some of results are compared with the previously published solutions to validate accuracy and reliability of the present approach.

Moreover, the results obtained with present model are compared with the exact solutions to validate the present formulation.

In "Benchmark case" section, we develop an exact analytical solution to validate our new reconstruction code.

Picconi et al. [15] proposed a solution to validate an aggregated message with probabilistic signature checking mechanism.

Finally, various batch and semi-batch nanofiltration operations are carried out with an organic/electrolyte binary test solution to validate the proposed algorithms.

We used high-throughput Monte Carlo simulations to simulate large ensembles of single-stranded RNA sequences in solution to validate the assumptions behind our diagrammatic scheme, examining the entropic costs for hairpin initiation and formation of many multiway junctions.

The numerical simulation of a penny-shaped crack under combined uniform mechanical-pore pressure thermal loadings is compared with the analytical solution to validate the correctness of the proposed method.