Fourier Spectral Method


Abstract in English

We will first introduce the basic ingredient of Fourier methods in section 1, then we will do some analysis on the Fourier approximation, in the last section, we will apply the Fourier method to solve some ODEs . we will write Matlab code for numerical result .

References used

TREFATHEN,L 2000 -Spectral Method in Matlab ,www.Mathwork.ir
GOTTLIEB,D,ORSZAG,S,1993,Numerical Analysis of Spectral Methods Theory and Applications , SIAM
SHEN,J-TANG,T,2006 , Spectral and High-Order Methods with Applications , Science Press,Peijjng

Download