What's the name of this methodology?

Complete specification: I want to to this, this, and this

Infinite iterations: 1. Design a task, module or little pi开发者_如何学Goece of software. 2. Implement. 3. Test.

The design and implementation stages occurs practically at the same time.

Does this methodology exist?

I think we'd call it iterative or agile with a complete specification prior to starting iterations.