Sentence examples for first time level from inspiring English sources

To begin any computation, it is necessary to know the values of u and v of required accuracy at the first time level, that is, at (t=k).

In Section 8, we discuss the higher order approximation at first time level in order to compute the proposed numerical method of the same accuracy and compare the numerical results with the existing results.

In this section, we discuss an explicit scheme of (O k^{2})) for u at first time level, i.e., at (t=k) in order to solve the differential equation (1.1) using method (3.20), which is applicable to problems in Cartesian and polar coordinates.

In this section, we discuss an explicit scheme of O ( k 2 ) for u at first time level, i.e., at t = k in order to solve differential equation (1.1) using the method (3.8), which is applicable to problems in Cartesian and polar coordinates.

(6.2) Then, using the initial values and their successive tangential derivative values from (6.2), we obtain the value of (u_{tt}) at (t = 0), and then subsequently from (6.1), we can compute the value of u at first time level, i.e., at (t = k).

To begin the computation, we need the numerical value of u of required accuracy at (t = k), so we discuss an explicit method of (O k^{2})) for calculating the value of u at first time level in order to solve the differential equation (1.1) using the proposed scheme (3.12) which is applicable to problems both in Cartesian and polar coordinates.

This research aims to define for the first time levels and patterns of different litter groups (macro, meso and microplastics) in sediments from a marine area designed for the institution of a new marine protected area (Aeolian Archipelago, Italy).

Assume that the exact solution values of (w x,t)) are known exactly at initial and first time levels so that (mathbf{E}^{j} = mathbf{E}^{j - 1} = mathbf{0}).

Assume that the exact solution values of u ( x, t ) are known exactly at the initial and first time levels so that E j = E j − 1 = 0. Then from (7.7), we obtain the error equation ( D + P ) E j + 1 = T. (7.8).

Here we quantify for the first time levels of Stat5a and Stat5b over breast cancer progression, and explore their potential association with clinical outcome.

A small team of "essentially four" people – among them first-time level-designer Campbell – created the game, retaining the Cannon Fodder engine.