Abstract: In the paper, based on the theory of the remainder effects of difference schemes,some typical limiters are analysed and compared. For different limiters, the different strength of numerical dissipation and dispersion of schemes is the reason why theschemes show obvious different characteristics. After analysing and comparing thenumerical dissipation and dispersion of various schemes, a new kind of limiter isproposed. The new scheme has high resolution in sharp discontinuities, and avoids the "distortion" due to the stronger numerical dispersion in the relatively more smooth region. Numerical experiments show that the scheme has good properties.