By using local one dimension method, the alternate direction line algorithm with high order accuracy is given for two dimension convection_diffusion problems.

Based on the local one-dimensional method and one-dimensional alternating segment method, a new alternating segment explicit-implicit(LASE- I ) method for the two-dimensional diffusion equation is developed, which is suitable for parallel or vector computation.

Fault detection for inertial measurement unit based on local approach;

The local method with the regimecoefficients derived from shock tunnel experimental results for oneconfiguration was applied to predicting the aerodynamic force coeffi-cients for the another configuration.

The paper widens the application of local method which used to be utilized in rarefied flow to the quick prediction of aerodynamic characteristics of missile-like reentry vehicle in hypersonic flow.