Sentence examples for approximation of the initial from inspiring English sources

An approximation of the initial condition is also made to obtain analytical expressions for the photocurrent.

Although a discontinuous reconstruction is employed in the approximation of the initial data, the continuity is automatically taken into account in the dominant part of the numerical flux.

Although there is a considerable uncertainty in the observed mass changes, the 3D-modelling approach allows a first approximation of the initial, mostly erosion-affected, surface structural dynamics of the artificial catchment.

This was our motivation to also propose and analyze polynomial collocation for the approximation of the initial value problems (2).

The substitute to such functions must of necessity be a close approximation of the initial functions before this method can be meaningfully employed.

Note that we use the fact (|e^{0}| _{H^{1}_{h}}le h^{m}), due to the collocation spectral approximation of the initial data.

The singular value decomposition (SVD) of the trajectory matrix constructs a sequence of elementary matrices, which provides the best approximations of the initial matrix and, in a sense, of the initial series: X1, X1 + X2, and so on.

Furthermore, approximations of the initial value  v(0) in  H and of the function  f in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L^{r^(I,X^)$\end{document} are constructed.

The method consists of an impact approximation for the initial adatom adsorption on a surface and a multipath diffusion analysis to simulate subsequent surface morphology and interior atomic structure evolution.

In this direction, Combettes and Hirstoaga [5] introduced an iterative scheme for finding the best approximation to the initial data of the equilibrium problem and proved a strong convergence result.

For solving the equilibrium problem, Combettes and Hirstoaga [5] introduced an iterative algorithm of finding the best approximation to the initial data and proved a strong convergence theorem.