Sentence examples for orders of approximation from inspiring English sources

The computational model is implemented within the framework of the hierarchic finite element, which permits the use of arbitrary orders of approximation.

The continuous fluid structure mesh with identical orders of approximation for both solid and fluid in space and time automatically yields conservation of mass, momentum and energy at the fluid structure interface.

The questions that we try to answer are whether it is possible to design a single integration kernel for different GPUs and different orders of approximation and what performance can be expected in such a case.

In order to validate this methodology, we present a family of three hybrid orbit propagators formed by the combination of three different orders of approximation of an analytical theory and a statistical time series model, and analyse their capability to process the effect produced by the flattening of the Earth.

Let us obtain the third and fourth orders of approximation formulas for the solution of problem (1).

Figures 1(a) and 1(b) illustrate the maximum average squared residual error at different orders of approximation.

Four orders of approximations providing progressively more accurate inversions are considered.

As an application we analyze the shifted wave equation, including the behavior of the numerical phase and group speeds at different orders of approximations.

for the third and fourth orders of approximations of (1), respectively.

Notice that the table is made to observe the error for velocity and temperature fields for different orders of approximations.

Table 1 shows the convergence of the solutions for different orders of approximations when (mathit{Pr}=0.7), (M=1), (m=2), (S=1), (lambda=-1), and (delta=1).