Sentence examples for use the spectral method from inspiring English sources

In [18], with a prior condition on the solution, we use the spectral method with a regularizing filter function to approximate problem (1.1) to give an error of the order of (varepsilon^{t/T}).

In [8], the authors prove an optimal approximation by polynomials using the spectral method.

In [16], the authors used the spectral method to identify the heat source in a spherically symmetric parabolic equation.

In [15], the authors used the spectral method to identify the heat source in a columnar symmetric domain.

Then these one-dimensional equations are solved by using the spectral method based on weak formulations.

Numerical solutions are obtained by using the spectral method where rational Chebyshev functions are used as basis functions.

Eslahchi et al. [12] gave a numerical solution for some nonlinear ordinary differential equations using the spectral method.

In this paper, the simulation of vacuum assisted consolidation using the spectral method and finite element analysis is carried out.

The three modules identified using this alternative method have a substantial overlap (normalized mutual information

For each network, we have obtained using

The model as described above can be solved in a numerically efficient manner using the spectral methods for continuous-time Markov chains developed by Bailey [37].