Sentence examples for extensive numerical examples from inspiring English sources

The advantages of our schemes are demonstrated via extensive numerical examples.

Extensive numerical examples are tested that demonstrate the robustness and flexibility of the method.

Extensive numerical examples verify efficiency, convergence and second order accuracy of the proposed method.

Extensive numerical examples are carried out to demonstrate the robustness of the present method.

Extensive numerical examples are presented to demonstrate the capability of our new algorithm.

Extensive numerical examples are illustrated using a real-world, large-scale electricity market.

An extensive numerical example demonstrates the merits of our approach compared to the state of the art.

Figure 4 Flow chart of present extensive numerical model.

Extensive one- and two-dimensional numerical examples, including both incompressible and compressible flows, with or without shocks, are employed to explore the utility, test the resolution, and examine the stability of the present CFOR-Hermite scheme.

Extensive one- and two-dimensional numerical examples are shown to demonstrate the performance of our well-balanced methods, and comparison with non-well-balanced results is included to illustrate the importance of maintaining the balance between pressure gradient and gravitational force numerically.

Extensive 2-D and 3-D numerical examples illustrate the efficiency and accuracy of the new approach.