When you say unless you accelerate vigorously, am I correct in thinking you mean pump the pedal rapidly up and down to keep it going?

And, if you do that enough, can you get the engine to run better as it warms up, and, if so, once it has warmed up, does it run perfectly well?

If that is the case, I would be suspecting a faulty coolant temperature sensor telling the ECU the engine is hot when it’s stone cold). (The temp sensor that speaks to the ECU, not the one that feeds the dashboard, if you have a separate one.)

Do you have any diagnostic equipment, such as PSCAN, or diagnostic software, that could tell you what temperature the ECU thinks the coolant is at?

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