Objective: How can I silence a slamming screen door?

Which of the following solutions is more sound in terms of naive physics reasoning?

Choose from:
1). Dab a couple of short beads of silicone caulk along the inner door jamb where it hits and let dry with the door open, the silicone pads will help quiet the racket.;
2). Dab a couple of short beads of silicone caulk along the outside of the door jamb where it hits and let dry with the door open, the silicone pads will help quiet the racket.;
1).