The eigenvalues of Hermite and rational spectral differentiation matrices.
The extended tanh method and the exp-function method to solve a kind of nonlinear heat equation.
The Fourier spectral method for the Sivashinsky equation.
The pseudospectral method for thermotropic primitive equation and its error estimation.
Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes
For flows with strong periodic content, time-spectral methods can be used to obtain time-accurate solutions at substantially reduced cost compared to traditional time-implicit methods which operate directly in the time domain. However, these methods are only applicable in the presence of fully periodic flows, which represents a severe restriction for many aerospace engineering problems. This paper presents an extension of the time-spectral approach...
Time-dependent electromagnetic waves in a cavity
The electromagnetic initial-boundary value problem for a cavity enclosed by perfectly conducting walls is considered. The cavity medium is defined by its permittivity and permeability which vary continuously in space. The electromagnetic field comes from a source in the cavity. The field is described by a magnetic vector potential satisfying a wave equation with initial-boundary conditions. This description through is rigorously shown to give a unique solution of the problem and is the starting...