Sentence examples for integral representation of the from inspiring English sources

To ameliorate this, a direct integration of the integral representation of the function is crafted to achieve the necessary high accuracy for moderately high mode numbers, with due consideration to the singular behavior of the integrand involved.

The multiple dimension integral representation of the expectation is approximated through cubature formulae.

The derivation follows from a functional integral representation of the partition function in terms of charge density fluctuations.

In this article we obtain an explicit integral representation of the Second Quantization.

A Laplace integral representation of the 3D integral equation for radiative transfer is discretized.

An integral representation of the split fields in impulse responses is presented.

Apparently, the standard BEM cannot be applied to these problems, since no integral representation of the solution can be established.

The key step is to estimate the velocity at the acceleration extrema using the exact integral representation of the solution.

We consider the Mellin convolution integral representation of the third Appell function given in Erdélyi (1953) [8].

This technique is based upon the orthogonal decomposition of the Fourier stochastic integral representation of the field using wavelets.

It is based on an integral representation of the response and is computed numerically in the slowness domain.