Sentence examples for by using the numerically from inspiring English sources
Based on the Lyapunov-Krasovskii functional approach, several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems with state delay are proposed, which have been expressed in terms of linear matrix inequalities (LMIs) whose feasibility can be easily checked by using the numerically efficient Matlab LMI Toolbox.
Explicit form solutions including the upper and lower bounds of applied load against end-shortening are derived for the local post-buckling stage by using the numerically derived load vs. end-shortening relationship of a square plate whose circular portion is allowed to deflect like a plate with circular damage.
The stochastic differential equation 4 is solved as in Carrillo et al.36, by using the Verlet algorithm to numerically integrate the velocities from the positions.
However, by using the computationally efficient and numerically stable PaRIS algorithm for estimating smoothed expectations of timeaveraged sufficient statistics of the model we obtain a fast algorithm with very limited memory requirements and a computational complexity that grows only linearly with the number of particles.
Heterogeneity was evaluated visually by using the SROC curve and numerically by using the variance of the logit-transformed sensitivity and specificity.
The four-level quantum dot nanostructure is designed numerically by using the Schrödinger and Poisson equations.
The flame speed and structure are investigated numerically by using the shooting-relaxation algorithms.
The model equations have been solved numerically by using the method of orthogonal collocation.
The incompressible viscous flow over several non-smooth surfaces is simulated numerically by using the lattice Boltzmann method.
The Results of the tenability has been done numerically by using the finite difference time domain (FDTD) method.
Due to complexity of the theory, the solutions are obtained numerically by using the weak form quadrature element method.
