1. A method for mapping management, comprising the steps of: sending data from a host; programming a host data to a non-volatile storage device; updating a mapping address to a Physical Entry to Logical (PE2L) mapping table stored in a SRAM; updating a Physical Entry (PE) status table stored in the SRAM; checking if the PE2L mapping table is full; if no, remove invalid entries in the PE2L mapping table and update the PE status table stored in the SRAM; if yes, transferring part of the PE2L mapping table to a Logical to Physical (L2P) mapping table stored in the non-volatile storage device; and programming the L2P mapping table to the non-volatile storage device only while the PE2L mapping table is full and looping to the step of removing invalid entries in the PE2L mapping table and updating the PE status table.