Sentence examples for an integral approximation from inspiring English sources

Therefore, the rigorous model containing (partial) integro-differential equations is first reduced by applying an integral approximation technique to a model of moments that consists of only a few ordinary differential equations.

The method combines single-sample p-values using an integral approximation that estimates a pathway-specific overall p-value.

where are approximations of the weight functions in integral boundary conditions, is a quadrature formula for the integral approximation (e.g., trapezoidal formula ).

It seems worthwhile noting that the simplification in (25) represents a variant of the MAP integral approximation, as often applied in Bayesian estimation [26].

Fig. 5 Relative error Δ versus a dimensionless variable u for the integral approximation given by Eq. (A3).

Parameter estimation was obtained through maximum likelihood estimation with integral approximation via adaptive Gaussian quadrature with 15 integration points.

This semi empirical method is based on the neglect of differential diatomic overlap integral approximation.

This technique is based on integral approximation and allows the derivation of highly accurate moment models.

We generalize some of our results to higher dimensional cases and use integral approximation formulas obtained to design numerical schemes for detecting fractional dimensional edges in signal processing.

In contrast to other model reduction methods which can be found in literature, this integral approximation technique can be applied for arbitrarily complex phenomena specifications.

Based on the Fermi-Dirac integral approximation described above, the electron carrier density can be obtained as follows: n = E g k B T 4 − 9 π 2 t 1 t 2 cos p π n + 1 a cc 2 ℑ − 1 2 η F (13).