Next , we propose the  implementation of obtaining the new mappings satisfying the OP criterion from those of the existing mapped WENO-X schemes  where the notation "X" is used to identify the version of the existing mapped WENO scheme , e. g., X = M 11%DIFDELCMD < ]%%% , PM6 3%DIFDELCMD < ]%%% , or PPM5 15%DIFDELCMD < ]%%% , et al. Then we build the resultant mapped WENO schemes and denote them as MOP-WENO-X .
<meaning-changed> Next , we propose the  implementation of obtaining the new mappings satisfying the OP criterion from those of the existing mapped WENO-X schemes  where the notation "X" is used to identify the version of the existing mapped WENO scheme , e. g., X = M 11%DIFDELCMD < ]%%% , PM6 3%DIFDELCMD < ]%%% , or PPM5 15%DIFDELCMD < ]%%% , et al. Then we build the resultant mapped WENO schemes and denote them as MOP-WENO-X .
Next , we propose the implementation of obtaining the new mappings satisfying the OP criterion from those of the existing mapped WENO-X schemes where the notation "X" is used to identify the version of the existing mapped WENO scheme , e. g., X = M 11%DIFDELCMD < ]%%% , PM6 3%DIFDELCMD < ]%%% , or PPM5 15%DIFDELCMD < ]%%% . Finally, extensive numerical experiments and comparisons with competing schemes are conducted to demonstrate the enhanced performances of the MOP-WENO-X .