I'm sure it is stored in the DB and you can always do a SQL trace to find out where. SQL trace is a great way to find out where anything is stored. I did a quick SQL trace and it appears that the views are stored in WDY_CONF_USER and WDY_CONF_USERT (for the language depend text description). The component name is SALV_WD_TABLE.
However direct manipulation of this table by your own coding would not be supported by SAP and could potentially be quite dangerous. I can't recommend that you should write your own program to remove entries. There is a Web Dynpro ABAP application however that lets you do some editing and deleting of user configuration. It is WD_ANALYZE_CONFIG_USER. It looks like you can mark several entries and delete them in mass. You can also transport entries. Just search for all configs for component SALV_WD_TABLE. You can also search by user.
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