Ramon Sessions had 17 points and Kemba Walker 12 for Charlotte, which overcame 36.8 percent shooting to lead twice in the fourth quarter, the last at 79-77 on Jannero Pargo's 3-pointer with 4:04 remaining.
Sessions tied the game 85-all on a free throw with 43.7 seconds left, but missed the second shot. Pargo then missed a 3 with 18 seconds left that would have put the Bobcats ahead.
After Schroder gave Atlanta the lead, Pargo bounced another 3 off the back of the rim at the buzzer.
Although there was no blockbuster deal to be made with his many picks, Danny Ainge said he was really excited about the players he added.
Although each comes with concerns, Chinanu Onuaku and Zhou Qi provide the Rockets with depth at the center spot.
In the wake of losing in the NBA Finals, the Warriors drafted two young players as a buffer for the bench in an uncertain offseason.