Как я погляжу, у нас тут специалисты по английскому языку. Осилят ли они следующий текст?
WebMitEdu/ 10. 001 / Web / Course_Notes / Differential_Equations_Notes / node7. html
"Predictor-Corrector Methods
The idea behind the predictor-corrector methods is to use a suitable combination of an explicit and an implicit technique to obtain a method with better convergence characteristics. The combination of the FE and the AM2 methods is employed often. Here, we use the FE as a predictor equation to get ypn+1 and subsequently use the AM2 as a corrector equation to get the final computed solution yn+1. The method, referred to as the Euler-Trapezoidal method is given below."