Sentence examples for dimensions of the method from inspiring English sources

This approach of computing attracting and repelling slow manifolds is a direct generalization to higher dimensions of the method used in [35, 38, 45, 48]; it can also be used for computing attracting and repelling slow manifolds in any system with two slow and an arbitrary number (n geq 1) of fast variables.

We aimed to obtain a rich and multifaceted understanding of reasons for trial participation and retention, and factors influencing adherence to the lifestyle intervention to give insight into the social and behavioural dimensions of the trial method and results.

After the illustration in three dimensions of the different methods devised and used up to now, a new scheme for the vectorization of the interpolation on the grid is proposed.

We develop a fast Poisson preconditioner for the efficient numerical solution of a class of two-sided nonlinear space-fractional diffusion equations in one and two dimensions using the method of lines.

We propose an algorithm to solve a system of partial differential equations of the type u1 x, t) = F x, t, u, ux, uxx, uxxx, uxxxx) in 1 + 1 dimensions using the method of lines with piecewise ninth-order Hermite polynomials, where u and F are N-dimensional vectors.

To describe the dimensions of the rainstorms three methods are proposed and compared.

Level 0 is optimization of hull dimensions based on the method of experience or statistical formulae.

With respect to dimensions of the final system, our method is more accurate than the expansion iterative method and direct method.

One of the strength of this study is we have tried to measure two dimensions of empathy and the method of data collection was self administered study so that there may be less social desirability bias.

The test results for problem (36) with different dimensions are reported in Tables 3 and 4. Table 3 Numerical results for problem ( 36 ) with (pmb{sigma=0.8}) (see ( 9 )) Dimension of the problem The method in [ 14 ] Algorithm 1 with (boldsymbol{alpha ^_{k_{1}}}) Algorithm 1 with (boldsymbol{alpha^_{k_{2}}}) k l CPU (sec).

Numerical experiments, in both two and three space dimensions, illustrating the efficiency of the method are presented.