Sentence examples for using the perturbation theory from inspiring English sources

Simulation work using the perturbation theory produced results consistent with the experimental observations.

Using the perturbation theory [13] and finite element method [14], the electrostatic potential in a bending piezoelectric nanowire was calculated.

In this study, a software is programmed in C# language to find an order of the fuel loading pattern of a VVER-1000 reacore core using the perturbation theory.

An equivalent of Equation (7) can be obtained, although with much more effort, without using the perturbation theory and by deriving instead an exact dispersion equation for acoustic-gravity waves in a coupled system consisting of a liquid layer and an isothermal gas half-space.

Note that the computer programs that use the perturbation theory limited by the second order do not give the correct result.

By using the singular perturbation theory, the system states are finally constrained in a bounded region.

The main contribution of the paper is to derive a new robustness measure using the matrix perturbation theory.

Nonlinear systems are decomposed into slow and fast response subsystems using the singular perturbation theory and second-order sliding mode controllers are designed for each of the subsystems.

Consistent with this characteristic, a slow subsystem associated with rigid motion dynamics and a fast subsystem associated with link flexible dynamics are identified by using the singular perturbation theory.

Based on the spectral condition number of the Hankel matrix, the optimal sensor locations (OSLs) can be determined, and the effect of noise on the OSLs is investigated using the matrix perturbation theory.

Using the matrix perturbation theory and the equivalent modified equation approach for finite difference methods, we propose a class of minimization problems to optimize the free-parameters in the MRT-LBM.