Sentence examples for multidimensional integrals in from inspiring English sources

The multidimensional integrals in the prediction and update steps are analytically intractable in the general case.

The key feature of our approach is the way to perform multidimensional integrals in which certain regimes of the arguments are forbidden due to the effect of the wall excluded volume.

An adaptive importance sampling methodology is proposed to compute the multidimensional integrals encountered in reliability analysis.

The so-called Sobol' measure [45] is mostly used in this regard, where each effect is computed by evaluating a multidimensional integral via MC simulation.

The standard Monte Carlo approach to evaluating multidimensional integrals using (pseudo -random integration nodes is frequently used when quadrature methods are too difficult or expseudo -randomlement.

Full wave expressions for the single and double scattered far fields are given in terms of multidimensional integrals.

A major computational requirement of the method, however, lies in the need of calculating a large number of multidimensional integrals at each time step a numerical task for which both accurate and economic algorithms are required.

In this paper we present the advances in our studies on the performance of algorithms for solving multidimensional integrals on Intel MIC architecture and their comparison with the performance of Monte Carlo methods.

Multidimensional integrals are computed by repeatedly applying 1-D quadrature rules.

Resulting formulations for the radiative properties are multidimensional integrals, the numerical resolution of which requires close attention.

The slow convergence of the estimators to the multidimensional integrals required for computation of the sensitivity indices means a large number of sample points in the Latin hypercube are needed.