Combined with ADCNN and soft-boundary processing, it can deduce training specimen and im-prove learning speed.

The boundary treatment of the fourth-order compact finite difference scheme for the incompressible Navier-Stokes equations;

A new method of boundary treatment in finite difference method;

The basic theory of LBM is analyzed in detail,the new methods for curved boundary treatment are introduced.

For the problem of large amount of GIS map data,the algorithm of data compression by multi-resolution analysis and border processing is presented.

With comparison and analysis in the selection of four typical wavelet bases in practical application,this paper discussed such selection when we adopt Multi-Resolution Analysis to do the wavelet based image compression and the influence of the border processing on the selection.

On the base of Mallet algorithm for wavelet transform, this paper provides a method for border processing of vector relief data condensation based on spline wavelet transform according to the properties of wavelet filters, And the experiments were given.

4 is conducted by using a hybrid fourth order, spectrum-relation preservation difference scheme and boundary processing methods based on characteristic signal propagation.