Sentence examples for by extensive numerical comparisons from inspiring English sources

The new exact solutions are further validated by extensive numerical comparisons with the solutions of FEM and those available in the literature.

Extensive numerical comparisons are carried out between these methods and other existing methods for computing the ground state and dynamics of the NLSE with various nonlocal interactions.

The extensive numerical comparison is given for stresses, displacements and frequencies.

We show positivity by extensive numerical experimentation.

The effectiveness of the proposed approach is validated by extensive numerical simulations.

The efficiency of the proposed method is demonstrated by extensive numerical results.

We demonstrate the effectiveness of our method by extensive numerical experiments.

The dependence of these results upon two parameters is investigated by extensive numerical calculations.

The utility and effectiveness of the present approach are validated by extensive numerical experiments.

Efficacy of the proposed algorithm has been verified by extensive numerical studies and sensitivity analysis.

The benefits of multi-AP based scheme and the effectiveness of our proposed algorithms are verified by extensive numerical results.