Abstract: The high order precision and high resolution of the highorder schemes are very important for complex flow field. In this paper, thenew AUSMPW scheme based on adaptive algorithm of interpolating multiwaveletswas investigated in order to decrease the numerical oscillation and increasethe numerical accuracy for discontinuity, such as shock wave. Theinterpolating multiwavelets is used for multilevel decomposition of thefunction, and the method of the valve's value is used to construct adaptivegrid. Arbitrary precision can be achieved theoretically. The pressure anddensity obtained in the algorithm are compared with those from originalAUSMPW scheme, TVD scheme and WENO scheme. The numerical results demonstratethat the modified AUSMPW scheme has higher resolution, stronger chaseableability and lower numerical dissipation.