The calculation of the position of the shocks for the domain decomposition of the hyperbolic approximation is discussed . it is the matching stable problem for the different schemes in the different domains with different mesh size . after tracing the position of the shocks , the artificial compression method are applied to eliminate the smearing effect and to raise the resolution of the schemes . in the boundaries of each regions , the universal connected matching stable schemes are inserted in so as to make the schemes between different regions matching stable each other . at last , some numerical examples are presented 討論在激波計算中的區域分解法,即在不同區域中應用不同網格及格式的耦合穩定性問題.先定出激波位置,再在激波附近小范圍內,用低階格式及人工壓縮方法以消除彌散效應.在激波區域外,應用高精度格式,減少了過超振蕩現象,提高了分辨率.在各區域交界應用全能穩定聯接格式,解決了格式的耦合穩定問題.最后舉出數值計算實例,計算結果與理論分析符合