Using the critical estimates of parabolic type partial differential equation. we obtain the error estimates of price and optimal exercise boundary of American option in a jump-diffusion model.

Most diagnosticians have learned not to jump to conclusions, even when apparently clear-cut signs point to specific diaeases. The chance for error from hasty and superficial evaluations is great.

The actual rotary speed during the stage jump input period could trace the given rotary speed and there was no error during the stabilized period.