Sentence examples for basis approximation of the from inspiring English sources

The aim of such a technique is to construct a reduced basis approximation of the solution of the SSP problems.

The method consists in the construction of a reduced basis approximation of the Galerkin solution and is independent of the stochastic discretization selected (polynomial chaos, stochastic multi-element or multi-wavelets).

The RS coefficient vector β is determined for various types of polynomial-basis approximation of displacement δ F.  .

41 (3) (2007) 575 605.] to provide a posteriori error estimation and basis adaptivity for reduced-basis approximation of linear elliptic partial differential equations with nonaffine parameter dependence.

The RS coefficient vector β is determined for various types of polynomial-basis approximation of displacement δ F. Linear form: tilde{y} = 9.240 1 times 10^{ - 6} - 7.047 6 times 10^{ - 5} A_{1} - 9.849 3 times 10^{ - 5} A_{2}.

We discuss in this section all the details related to the construction of the reduced basis approximation in both the elliptic and the parabolic case, for rapid and reliable prediction of engineering outputs associated with parametrized PDEs.

Based on these error estimates, we propose an algorithm for optimally choosing both the dimensions of the reduced basis approximations and the sizes of Monte Carlo samples to achieve a given error tolerance.

On the basis of linear approximation of the concentration gradient, the method of probability calculation is adopted to model the transformed fraction.

The following lemma acts as a basis for the approximation of the solution around the vertices (dot{gamma}_{j}) with angle (alpha_{j}pi), (alpha_{j}neq1/3).

This paper proposes and studies an algorithm for task-level control based on a radial basis function network approximation of the optimal task input vector on parameters of the task.

The concentrations and the spin state of CYP3A4 were quantified on the basis of the approximation of the heme protein absorbance spectra with a set of the prototype absorbance spectra of CYP3A4's (Fe3+) high-spin, low-spin, and P420 states.