Sentence examples for analysis and the numerical from inspiring English sources

The theoretical analysis and the numerical simulation are discussed in two and three-dimensional cases.

The present linear stability analysis and the numerical DNS calculation support each other.

A multi-walker is used as a case for 3D general analysis, and the numerical simulation is presented.

The results obtained in this way are compared with the asymptotic analysis and the numerical simulations from the literature.

The results of the stability analysis and the numerical experiments demonstrate the utility of such an approach.

Finally, as an example application, design optimization problems of the hexrotor are considered to show the usability of the present analysis, and the numerical example of the DMM-maximum structure is presented.

CK and VG assisted with the mathematical analysis and performed the numerical simulations.

In their work they also presented the bifurcation analysis and presented the numerical simulations for different values of infection rate.

The present linear stability analysis and the nonlinear numerical simulation support each other.

Weakly nonlinear pattern analysis and the related numerical simulations are given in Section 4.

We prove the convergence analysis (Theorem 4.1) and the numerical stability analysis (Theorem 5.2) of the proposed method with respect to the choice of the first iteration.