The phrase "approach with numerical" is not correct and lacks clarity in written English.
It may be intended to suggest a method or strategy that involves numerical data or analysis, but it needs additional context to be meaningful.
Example: "To solve the problem effectively, we should approach with numerical data analysis."
Alternatives: "use a numerical approach" or "apply numerical methods".
The steady state, vibro-impacting responses of one dimensional, harmonically excited, linear oscillators are studied by using a modern dynamical systems approach allied with numerical simulation.
We validate our approach with two numerical experiments of physical interest.
Experimental measurements are carried out on both aluminium sandwich and composite (orthotropic) panels; the results are compared through a mixed numerical/experimental approach with purely numerical predictions.
We tested this two-layer approach with the numerical examples described in Section 3, but concluded that it does not significantly improve the solution for the surface electric field.
The third one follows from a multi-scaled approach with a numerical bridging between the full model near the boundary and a macroscopic model in the bulk.
Based on these MEA technologies such as fabrication of CCLs, further study will be performed to understand microscopic phenomena in nano pores of CCLs by combining the experimental approach with CCL numerical modeling.
We evaluate our approach with both numerical and event-driven simulations, and we establish the practicality of our approach in a real incident-supporting hierarchical cloud deployment to demonstrate improvement of application level throughput due to a reduced path stretch under severe node failures and high mobility challenges of disaster response scenarios.
In Coulomb problems in the SQ systems, one has to use different quantum mechanical approaches along with numerical methods.
The effectiveness of the GA approach is evaluated with numerical examples.
