As is the case with range, endurance is also a combination of many of the topics we have already touched upon, and will benefit from many of the same etudes. The two other things that will most quickly improve endurance are efficiency and loud practice. Efficiency is a necessity for any brass player. Playing the trumpet is extremely physical, and efficient playing will reduce the demands on the player. Always think about what you are doing while you play 2.
Loud practice is another part of trumpet playing that is often overlooked.
Remember, when practicing at loud dynamic levels, always keep your sound from distorting, and never cause yourself physical pain. Orchestral excerpts are a good source of loud material, as are the Brandt Orchestral Etudes. Perhaps the best resource for loud playing are the Schilke Power Exercises. Playing 5 minutes of these a day will be all you need to develop the necessary strength for increased endurance. During that week he showed me the power exercises that I outlined in my master class materials.