Before revision:  The improved mapped WENO scheme considerring the OP criterion based on the existing mapped WENO-X schemeis named ] ] ] ] MOP-WENO-X.
After revision:  The improved mapped WENO scheme considerring the OP criterion based on the existing mapped WENO-X schemeis named ], into the design of the mappings.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 ] ] ] MOP-WENO-X.