After explaining its basic properties, they describe its use in explicit Runte-Kutta methods, linear multi-step and predictor-corrector methods
, some implicit methods, splitting techniques, advection problems, and other problems.
Adams predictor-corrector methods
are recommended for simulating systems with an easy or moderate stiff behavior.
KHALIQ, A linearlyimplicit predictor-corrector methods for reaction-diffusion equations, Comput.
Implicit-explicit predictor-corrector method for the discretisation in time.
In recent years, Noor - and Noor-Noor and Rassias  have used this technique to study some predictor-corrector methods for various classes of equilibrium and variational inequality problems.
We have used the auxiliary principle technique to suggest and analyze several three-step predictor-corrector methods and proximal-point methods for solving the general bifunction variational inequalities.
Examples of the multistep methods are the predictor-corrector methods of Adams Bashforth and Moulton.
Multistep, Multivalue, and Predictor-Corrector Methods.
They are usually implemented as predictor-corrector methods
using both an explicit and an implicit method to calculate [y.
Noor: Predictor-corrector methods
for multi-valued hemiequilibrium problems, Appl.
Statter, Generalized multi-step predictor-corrector methods
, ACM, 11, pp.
2 Relative errors using different time-steps for the predictor-corrector methods