Sentence examples for develop and numerical from inspiring English sources

Spatio-temporal patterns usually develop and numerical analysis is required to study them, as we will present in the Numerical simulations of pattern evolution Section.

An analytical model is developed and numerical results are presented.

A two degree-of-freedom model is developed and numerical studies are conducted with this model.

Necessary formulae are developed and numerical procedures are described in this paper.

A finite volume method is developed, and numerical results show evolution to the correct steady state.

An accurate far field boundary condition is developed, and numerical results are presented using this condition.

The corresponding system of mean field Nash equilibrium inducing equations is developed and numerical simulation results are presented.

In this chapter, a computer program is developed and numerical tests are carried out to validate the procedure.

A simplified method for modeling Jacket Offshore Platform was developed and numerical examples were presented to demonstrate the validity of the proposed method.

Based on the two-scale model, a numerical two-scale method for the simulation of phase transitions with dendritic microstructure is developed, and numerical examples are presented.

A sample case of a physical beam is developed and numerical results are presented concerning bifurcation analysis and stability, and direct simulations of global postcritical dynamics.