The agile methodologies are programming centric methodologies with few simple rules to follow via a simple iterative development process eliminating most of the modeling and the documentation overhead.

Lean Software Development
Eliminating waste while selecting the truly valued features only. Automated testings are developed the same time the code is written. This methodology owns most of its principles and practices to the Lean Enterprise Movement and the practical experiences gathered within companies as Toyota.

Scrum Project Management
Management framework for managing agile development projects while being focused on the management aspects.

Extreme Programming
One of the most popular agile software development methodologies. Focuses on technical practice and skillful development through frequently delivered releases. Its main characteristic are the highly short iterations comparing with the other agile methodologies.