Jerky Automatic Transmission between 5-15

Whenever I slow down to 5-15 mph by braking or letting the car coast down to 5-15 mph and then step on the gas pedal while still in this speed range the car jerks or bucks forward and I hear what most describe as a clunk sound coming from the transmission. I want to emphasize I am NOT accelerating fast at all. I can run faster than I'm making the car accelerate. The only way I can avoid this is if I VERY, VERY gently accelerate when my car is in the 5-15 mph range. I am talking about accelerating at a snails pace. This clunking sound and bucking forward also occurs if I try to roll through a stop sign or if I'm coming out of an alley, brake to 5-10 mph and then step on the gas pedal. I forgot to mention this also happens whenever I brake just before the car reaches 0 mph the transmission will buck forward (I can feel it downshift). It's similar to the way a car leans forward when you brake and don't gradually let up on the brake pedal as the car comes to a complete stop. I usually feel this bucking at 2 mph, right before the car comes to a complete stop. Anyways this is so annoying. I emailed the dealer with no reply so I might try another dealer's service center.

I've heard about transmission problems in the manual (3rd gear) on the honda civic si, but what about the automatic transmission? Is this just my car or is this a widespread problem? I love everything about this car except the transmission at 5-15 mph. I should mention the transmission's other up and down shifts are all smooth. Shifting at highway speeds are perfect. Acceleration is always smooth except in the rolling stop sign and alley scenarios.

Others have said the ecm is still learning my driving style. Another person said the same thing happened to them but eventually they said the bucking went away as they drove the car more. Should I ask the dealer to reprogram the ecm or will this bucking go away as the ecm learns my driving style. Thanks in advance.