The Stokes equations are solved using spectral methods with staggered and nonstaggered grids.
For the LDC problem, results for Re= 1000 are compared with results using spectral methods in Botella and Peyret [O. Botella, R. Peyret, Benchmark spectral results on the lid-driven cavity flow, Comput. Fluids 27 (1998) 421 433] to calibrate the method in solving the steady state problem.
A recent technology of network deconvolution is able to distinguish direct and indirect interactions using spectral methods, which reduce the weights of indirect connections and remove low weighted edges by selecting appropriate cut-offs (Feizi et al., 2013).
The intermediate and final compounds were characterized in terms of physical properties and their structure was proved using spectral methods (FT-IR, 1H-NMR, 13C-NMR, 19F-NMR, HRMS).
The structure of the compounds was proven using spectral methods (IR, 1H-NMR, 13C-NMR, MS).
It is very easily implemented using spectral methods in spherical coordinates.
Simulations of magnetohydrodynamic (MHD) flows in bounded domains using spectral methods suffer from a number of serious limitations.
The structure of the synthesized compounds was confirmed by using spectral methods (FT-IR, 1H-NMR, 13C-NMR, 19F-NMR, HRMS).
It consists in calculating azimuthal derivatives at coarser resolutions than permitted by the grid, in the same way as usually done using spectral methods.
The development of such an algorithm was motivated by difficulties in interpretation of the results of numerical experiments with the Sivashinsky equation using spectral methods.
