Sentence examples for means of numerically from inspiring English sources

The direct quadrature method of moments is presented as an efficient and accurate means of numerically computing solutions of the Fokker Planck equation corresponding to stochastic nonlinear dynamical systems.

Returning to differential equations, Hamming studied means of numerically integrating them.

Each new patient was registered and randomized at each participating center by means of numerically ordered and coded packages containing either oral clodronate or placebo according to a centralized blinded code.

The solution is investigated numerically by means of numerical simulations, using the European and FTP driving cycles as standards for a time-variable input.

The Bayes factors were estimated by means of the numerically stable thermodynamic integration in combination with a recently developed copula-based Metropolis-Hastings sampler.

Comparisons between subjects classified as MetS+ vs MetS- were performed using Fisher's exact test for categorical variables, and t-tests of means for numerically continuous variables.

Third, the (near-wall) regularity of a solution of the Navier Stokes equations is numerically analyzed by means of Direct Numerical Simulation of turbulent channel flow performed with the staggered projection method.

The solid line shows an exponential probability density function P = γ exp where γ ≃ 0.007 is the reciprocal of the mean of the numerically obtained escape times.

The system of nonlinear ordinary differential Equations 10 and 12 with the boundary conditions (Equation 13) are integrated numerically by means of the efficient numerical shooting technique with a fourth-order Runge-Kutta scheme (MATLAB package).

After verification of the proposed model for intact plates, the effect of the size and the position of embedded delamination zones on the transient response of geometrical nonlinearity of composite and sandwich plates is investigated numerically by means of a number of numerical applications.

The numerical analysis was carried out by means of shallow water equations, numerically solved by finite difference, and the present method was validated by means of a typical simple-shaped test case.