Before revision:  With this new criterion, a new mapping function was devised and the relevant mapped WENO scheme enjoyed the advantage that has the capacity to attain high resolutions and avoid spurious oscillations near discontinuities when solving the one-dimensional linear advection problems, expecially for long output times.
After revision:  With this new criterion, a new mapping function was devised and the relevant mapped WENO scheme enjoyed the advantage that has the capacity to attain high resolutions and in the meantime prevent spurious oscillations on solving hyperbolic conservation laws with long output times.