Sentence examples for by the truncation error from inspiring English sources

In this regime, the error is dominated by the truncation error of the leapfrog integrator.

The absolute values of difference obtained at smaller wavelengths are mainly affected by the truncation error.

The initial perturbation is added so that the density evolution is not dominated by the truncation error, but displays a cleaner behaviour.

In the case of this combination (namely, Δλ = 0.1 nm and np with 16 digits), the maximum absolute value of difference for the two-point central difference method is mainly affected by the truncation error.

The discharge-based non-linear models have been used as the basis for the derivation of the variable-parameter Muskingum routing method by setting the truncation error at par with the diffusion parameter.

Our strategy was to determine a suitable combination of the step size Δλ and NSD of PRA by balancing the truncation error and the round-off error.

We can determine a suitable estimate of this combination by balancing the truncation error and the round-off error of the PRA; this forms the basis of our strategy.

First, a family of k-exact Godunov schemes is developed by recursively correcting the truncation error of the piecewise polynomial representation of the primitive variables.

The optimisation principles are: (1) that the column holdup (area above the breakthrough curve normalised by the column length) is maintained; and (2) that the truncation error produced by the numerical scheme is minimised.

Although the Euler method has more local truncation error than other more advanced methods (e.g., RK4), we actually can reduce the truncation error by decreasing the time step.

For a concrete convergence analysis of scheme (35), similar to the methodology in [25], we now define the truncation error by T_{m} phi):= phi(t_{m+1})- phi(t_{m} -hFbigl phi(t_{m} -hFbigl phiquad mgeq0, (50) and define (t_{m}m}(phi)) implicitly by T_{m}(phi)=htau_{m}(phi). (51) Then two equations (50) and (51) give phi(t_{m+1})=phi(t_{m})+hFbigl( phi(t_{m}),h fbigr)+htau_{m}(phi),quad mgeq0.