Scrum, Kanban, XP, sustainable pace, pair programming, spike
(This list is nowhere near comprehensive, but seeing that you only have 16 days to go, I want to focus on a few that are easy to research and implement)
Both those are team management principles, focussed on managing processes that can't be planned in advance (like software or prototype development).
Benefits: Being flexible in an environment of changing/unclear requirements or priorities.
XP (eXtreme Programming)
XP is a set of tools used to improve the workflow of software development teams, though most can be applied to other creative teams, too.
Benefits: Improvements to the whole process of working together for a creative team.
One term used in XP is sustainable pace, which basically means, don't put in more hours than you can keep up for a long time. i.E. don't burn the team out with overtime to the max.
Benefits: Keeping up morale; removing perceived pressure; increasing perceived(!) predictability.
Another tool of XP, pair programming is the principle of distributing knowledge in a team by having members work in pairs on a new problem/with a new tool where one member of the pair is already experienced in the topic and the other is there to learn from that experience. This, too, isn't limited to programming and thus often just called 'pairing'.
Benefits: Easy (I want to say effortless) distribution of knowledge and skills throughout the team; better galvanization of the team.
This is a scrum term, for small research projects. One key characteristic of spikes is a time box. The team sets aside a number of hours/days to spend on the research and then proceeds to spend that amount of time on it, but not more (or less, unless they're sure the question is answered satisfyingly).
Benefits: Research tasks won't get out of hand and inflate the overall time the project may take or block other parts.
There are downsides, too, as with every change in process or management paradigm. Resistance to change; perceived extra work just to keep the process runnning; personal preferences/dislikes; a long but familiar list.