Skip to main content

predictor-corrector methods

predictor-corrector methods The standard approach in the implementation of linear multistep methods for the solution of ordinary differential equations. Two such formulae are used on each step, one of which is implicit (see linear multistep methods). An example of such a formula pair are Euler's method (see discretization) and the trapezoidal rule (see ordinary differential equations). A predictor-corrector method based on these formulae has the form ypn+1 = yn + hf(xn,yn) (prediction) yn+1 = yn + ½h(f(xn,yn) + f(xn,ypn+1)) (correction)

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+1yn+1. Such estimates are used to control accuracy and stability.

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"predictor-corrector methods." A Dictionary of Computing. . 18 Feb. 2019 <>.

"predictor-corrector methods." A Dictionary of Computing. . (February 18, 2019).

"predictor-corrector methods." A Dictionary of Computing. . Retrieved February 18, 2019 from

Learn more about citation styles

Citation styles gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).

Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, cannot guarantee each citation it generates. Therefore, it’s best to use citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:

Modern Language Association

The Chicago Manual of Style

American Psychological Association

  • Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
  • In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.