Hello and welcome.
There isn't a way to convert from DVI to Thunderbolt for a display as far as I know. If you mean the LED Cinema Display (24-inch), it has a Mini DisplayPort connection, not Thunderbolt. Although the physical connector looks the same, the signal is different. The Apple Mini DisplayPort to DVI adapter won't work, since the Mini DisplayPort connector would be male to male.
I don't remember if there was a third-party solution for this, but I don't believe so.
Sorry,
C