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-- The initial, "prediction" step, starts from a polynomial fit to the values of the function and its derivative at a preceding set of points to extrapolate this function to its value at a subsequent, new point.
-- The next, "corrector" step refines the initial approximation by using the ''predicted'' value of the function and ''another method'' to interpolate that unknown function's value at the '''same''' subsequent point.__TOC__
== Predictor–corrector methods for solving ODEs ==
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