The Stability of Predictor-Corrector Methods

Stability Ordinates of Adams Predictor-Corrector Methods

How far the stability domain of a numerical method for approximating solutions to differential equations extends along the imaginary axis indicates how useful the method is for approximating solutions to wave equations; this maximum extent is termed the stability ordinate, also known as the imaginary stability boundary. It has previously been shown that exactly half of Adams-Bashforth, Adams-Mo...

Predictor Corrector Methods Page 1 Predictor Corrector Methods Predictor Corrector Modes

page 1 Predictor Corrector Methods Predictor Corrector Methods form the basis of the most successful codes (Variable Step Variable Order Methods) for the solution of initial value problems of ordinary differential equations. Briefly, these methods have been successful because they occur in naturally arising families covering a range of orders, they have reasonable stability properties, and they...

Predictor-corrector Regularization Methods 21 References

An eecient algorithm for the regularization of ill-conditioned least squares problems with triangular Toeplitz matrix, SIAM J. On the condition number associated with numerical solution of locally-regularized rst-kind integral equations.

Predictor-corrector Smoothing Methods for the Solution of Linear Programs1

Almost sure and moment exponential stability of predictor-corrector methods for stochastic differential equations

This paper deals with almost sure and moment exponential stability of a class of predictorcorrector methods applied to the stochastic differential equations of Itô-type. Stability criteria for this type of methods are derived. The methods are shown to maintain almost sure and moment exponential stability for all sufficiently small timesteps under appropriate conditions. A numerical experiment f...