This article first gives a brief introduction to a truncation method for computing one dimension and two dimension transforms with applications to image processing, then emphasizes the parallel implementation on MPP dawn1000 using the blocked method according to the characteristic of image operation.

First, the author turns equation into standard form* use Fourier method tomake the solution of question expand by eigenfunction- use Laplace-stieltjes transformation and theme.

Using the D Alembert formula and the Fourier method, the solution of the moving boundary problem for the nonhomogeneous parabolo-hyperbolic mixed equation of the second order is obtained in this paper.

This method combines the Fourier method with the Morley element method without their respective shortcomings.

Existence and uniqueness of Boussinesq systems of equations and error estimate of Fourier spectral method;

The Fourier spectral method is used to discrete Fitz-Hugh-Nagumo equations in spatial direction.

The periodic initial value problem of generalized Ginzburg-Landau equation is discretized by Fourier spectral method in spatial direction.

Moreover,to make use of the relationship between characteristic function and moment generating function,the paper develops Fourier-Inversion method and adaptive Simpson rule with iterative algorithm of numerical integration into non-linear VaR model of FX option portfolio,and calculates the VaR values of portfolio.