Sentence examples for by solving the linearized from inspiring English sources

To make the scheme efficient, the governing equations are solved on every cell interface using an operator splitting method: in the first step, the contribution of inviscid terms is modeled by solving the linearized Euler equations in characteristic form; in the second step, the contribution of viscous terms are included by a simple correction procedure.

It should be noted that previous theory works have also studied the hole mobility in ultra-narrow Si nanowires by solving the linearized Boltzmann transport equation coupled to the atomistic tight-binding approach [29, 30].

Closed form analytic expressions for water head distribution in the aquifer and discharge rate into the ditches are obtained by solving the linearized Boussinesq equation with eigenvalue eigenfunction method.

The electrostatic contributions to the solvation and desolvation free energies were approximately obtained by solving the linearized Poisson-Boltzmann equation on a 2513 grid and using the PBEQ module [31] as implemented in the CHARMM program version c30b [42].

The 2D and 3D temperature and concentration perturbations have been found by solving the eigenvalue problem obtained by linearizing the model around the basic state.

We start with an approximated solution at iteration (s=0), taken e.g. as a previously computed solution at a Rayleigh number (R^) belonging to the trial set, then, at each iteration step (s+1) we solve the linear problem obtained by linearizing around the previous step s.

The critical forces are then obtained by the linearized stability theory.

The method solves the Euler equations linearized about a mean flow in the frequency domain.

Sun and Wang [10] investigated linearized finite difference methods for solving the NLSE.

Nonlinear equations in mathematical physics and engineering are solved by linearizing the equations and forming various iterative procedures, then executing the numerical simulation.

A Matlab package implementing this algorithm is available at http://www.public.asu.edu/~jye02/Software/CCA/. The sparse CCA presented in [12] where the sparse canonical projectors are computed by solving two ℓ 1-minimization problems by using the Linearized Bregman iterative method [19].