Abstract Despite being the most popular methods of data analysis, Fourier-based techniques suffer from the problem of static resolution that is currently believed to be a fundamental limitation of the Fourier Transform. Although alternative solutions overcome this limitation, none provide the simplicity, versatility, and convenience of the Fourier analysis. The lack of convenience often prevent...

In this paper, we develop a mixed Fourier-generalized Jacobi rational spectral method for two-dimensional exterior problems. Some basic results on the mixed Fourier-generalized Jacobi rational orthogonal approximations are established. Two model problems are considered. The convergence for the linear problem is proved. Numerical results demonstrate its spectral accuracy and efficiency.

h this paper, we use a generalized Fourier series to approximate the solution of a boundary value problem describing the torsion of an elliptic micropolar beam. We provide an example demonstrating the effect of material microstructure. @ 2004 Elsevier Ltd. All rights reserved. Keywords-Linear micropolar elasticity, Generalized Fourier series, Torsion, Material microstructure.