Captain Stern will be in the Oceanic Museum. There will be Team Aqua members outside. They will once clear when you go into the shipyard when you will find a man beside a table. Once you talk to him, the Aqua members will be gone and you can enter the Museum for $50. Hope this helps!
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Capt. Stern is not in Pokemon Leaf Green. He is only in Pokemon Ruby, Saphire or Emerald.
In the slateport city boat dock place
You go to slateport and you deliver the Devon goods to captain stern.
In the Slateport museum.
You can either go to the next route or get the exp.share from the president.