Sentence examples for using the spectral method from inspiring English sources

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

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 results show that the CPU time cost of Chebyshev collocation spectral method with 3D Schur-decomposition solver is the least, and almost only one thirtieth to one fiftieth CPU time is needed when using the spectral method with 3D Schur-decomposition solver compared with the standard discrete ordinates method.

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].

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.

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}).

The estimates of the intervals are obtained by using the spectral element method combined with a fuzzy-set-based method.