Sentence examples for by linearizing the system from inspiring English sources

Estimates of response expectation and variance covariance can be obtained by linearizing the system at additional computational costs that scale linear with the number of parameters using forward-sensitivity analysis.

The system is solved through iteration, where the iterates are obtained by linearizing the system and performing a block-LU factorization.

In order to establish the stability of an equilibrium solution U of an infinite-dimensional dynamical system u˙="X u), one is interested in the spectrum of the linear operator L[U] obtained by linearizing the dynamical system around U. We use a spectrally accurate method for the computation of the spectrum of the maximal extension of the operator L[U].

The stability of the remaining steady-state solutions is analyzed by linearizing the averaged system of differential equations.

In Section 3, by linearizing the resulting four-dimensional system at the positive equilibrium and analyzing the associated characteristic equation, the Hopf bifurcations are demonstrated.

At each iteration, a linear system is obtained by linearizing the weak form of the problem.

The adaptive Hammerstein nonlinear system parameter estimation algorithm proposed is accomplished without linearizing the systems nonlinearity.

This code follows the system response matrix method to determine the stability in time domain, by linearizing the perturbed conservation differential equations.

By linearizing the noise term around the traveling wave solution, we obtain an approximating system of diffusion processes.

The control model is obtained by linearizing the Saint-Venant equations and using a numerical method to compute the frequency response of the system.

By approximating the population process with a closely related Ornstein Uhlenbeck process we effectively linearized the system about a fixed point given by the mean field behavior.