This permits the more accurate implicit formula to be used effectively, without solving an equation for yn+1, and provides an estimate for the local error, namely ypn+1 – yn+1. Such estimates are used to control accuracy and stability.
"predictor-corrector methods." A Dictionary of Computing. . Encyclopedia.com. (February 18, 2019). https://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/predictor-corrector-methods
"predictor-corrector methods." A Dictionary of Computing. . Retrieved February 18, 2019 from Encyclopedia.com: https://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/predictor-corrector-methods