I have a '98 Honda Accord with 180,000 miles. The automatic transmission was replaced with a rebuilt transmission 3,000 miles ago. Since then, on 3 separate occasions, after slowing down to yield at an intersection, when the accelerator was engaged to resume speed the engine cut off. Once the gear shift was moved to Park it started right up again and drove without problems. I had the shop that replaced the transmission check it and they told me they were able to duplicate the problem and believe the ignition module must be replaced. They thought it would have to be done by a dealer. Has anyone out there had this problem, heard of this problem, or does anyone have any advice to share?

Yes, replace the Ignition Control Module and coil. Replace the rotor, while you're at it. Here's how to do it yourself.

1. Disconnect negative battery cable.
2. Remove hex head machine screws, securing distributor cap to housing, using an 8 mm nut driver.
3. Move distributor cap and wires off to the side.
4. Remove machine screw securing rotor to shaft, using a #2 Phillips head screwdriver. It may be necessary to "hit" the starter once or twice, in order to rotate rotor for access to mounting screw.
5. Remove rotor and leak cover.
6. Unfasten igniter wires, remove coil mounting screws, and set coil aside. Note: Removing coil first improves access to igniter.
7. Unfasten screws securing igniter to housing.
8. Remove igniter from distributor and unfasten screws mounting igniter to heat sink.
9. Coat back of new igniter (or old igniter, if reusing) and male connectors with silicone grease. Silicone grease increases heat transfer to heat sink. Failure to apply silicone grease will cause the igniter to quickly fail.
10. Mount igniter to heat sink and reinstall igniter, igniter terminal wires, coil, coil wires, leak cover, rotor, and distributor cap. Ensure female igniter terminals fit snugly--crimp with pliers, if necessary.