Sentence examples for by numerically solving a from inspiring English sources

We will find optimal values of β by numerically solving a boundary value problem.

Macroscopic quantities of interest such as the Piola Kirchhoff stress tensor can be approximated for any value of the strain gradient by numerically solving a nonlinear PDE.

The LS framework requires estimates of inter-particle collision times, and we predict these times by numerically solving a minimization problem.

This method makes use of the wake velocities and particle trajectories obtained by numerically solving a system of ordinary differential equations.

The proposed design consists of a symmetrical venturi tube comprising three pressure sensors and in which flow measurement is obtained by numerically solving a slightly modified version of the unsteady Bernoulli equation.

The method is characterized by the use of a vortex lattice discretization of the true blade mean camber surface for the determination of the optimum circulation distribution, which is found by numerically solving a variational problem.

We solve the first-passage time problem by numerically solving either a partial differential equation (PDE), the Fokker Planck equation, or an integral equation (IE), the Volterra integral equation.

By numerically solving for kD (using a bisection algorithm written as a Visual Basic for Applications program in a Microsoft Excel spreadsheet) in the above equation, a mean kD value for the time interval between t1 and t2 was obtained and assigned to a time point in the middle of the interval between the two experimental times.

For every considered a window was obtained by numerically solving the CO problem (35), and a window by solving (36) through SDP, where both approaches required the above-mentioned additional steps for rank reduction.

The nonlinear effects of the fully coupled two-way interactions between a disturbance field defined by an amplitude variation of the inflow velocity distribution and a laminar premixed flame incorporating gas expansion effects are investigated by numerically solving the conservation equations of a compressible fluid.

The contact radius (a) is found by numerically solving the following equation: where n = 23/2/π for a pyramid-shaped probe.