Sentence examples for by numerically integrating a from inspiring English sources

In probability density function (PDF) methods of turbulent flows, the joint PDF of several flow variables is computed by numerically integrating a system of stochastic differential equations for Lagrangian particles.

Ca2+ entry, diffusion and buffering were simulated by numerically integrating differential equations using an explicit finite-difference (Euler) method with a fixed time step (0.03 μs) and an elementary integration volume (i.e. voxels).

We can find the stable fixed point by numerically integrating (2) forwards for a long time.

Simulation results were obtained by numerically integrating the model equations with a stiff ODE solver method (ode15s).

Spontaneous crack propagation was simulated using a spectral form of the elastodynamic boundary integral equation, while steady-state solutions were obtained by numerically integrating the governing Cauchy singular integral equation.

Large eddy simulations (LES) of low-speed, wall-bounded turbulent flows were conducted by numerically integrating the compressible Navier Stokes equations in a generalized curvilinear coordinate system.

One can study the characteristics of such a system by numerically integrating these differential equations and with different initial conditions and kinetic rate parameters, and extensively search for the possibility of a two distinct stable steady states.

(B ) Discrete-time log-prior odds at a given moment as a function of the belief at the prior moment, plotted as Equation 2 for different values of H. (C ) Continuous-time version of the model, with log-prior odds plotted as a function of belief, computed by numerically integrating Equation 4 with d x (t ) = 0 over a 16 ms interval.

Molecular dynamics (MD) methods compute the trajectory of a system of point particles in response to a potential function by numerically integrating Newtonʼs equations of motion.

The overall change in the quasi-potential along a trajectory can then be calculated by numerically integrating the quantity Δ V q in Eq. 4 from a given initial configuration up to a stable steady state, thereby allowing us to map out a temporal trajectory along the putative quasi-potential surface.

The SeSAW score is reported, along with a P-value computed by numerically integrating the known distribution of scores.