<正> By the aid of an idea of the weighted ENO schemes, some weight-type high-resolution difference schemes with different orders of accuracy are presentedin this paper by using suitable weights instead of the minmod functions appearingin various TVD schemes. Numerical comparisons between the weighted schemes andthe non-weighted schemes have been done for scalar equation, one-dimensional Eulerequations, two-dimensional Navier-Stokes equations and parabolized Navier-Stokesequations.