Block predictor-corrector schemes for the parallel solution of ODEs

Order Six Block Predictor - Corrector Method for the Solution Of

We propose a continuous linear multistep method of order six using interpolation and collocation of power series approximant. The derived implicit scheme was implemented in predictor corrector mode in which the predictors are developed using block method. The basic properties of the derived scheme were investigated. Our method was found to compare favourably with the existing method when tested...

Runge-Kutta-Nyström-type parallel block predictor-corrector methods

This paper describes the construction of block predictor-corrector methods based on Runge-Kutta-Nystrr om correctors. Our approach is to apply the predictor-corrector method not only with stepsize h, but, in addition (and simultaneously) with stepsizes a i h; i = 1; : : :; r. In this way, at each step, a whole block of approximations to the exact solution at oo-step points is computed. In the n...

Parallel Implementation of a Predictor-corrector Scheme for the Solution of the Navier-stokes Equations

This paper presents a parallel implementation of a predictor-corrector scheme to solve the Navier-Stokes equations. This scheme consists in solving the momentum and continuity equations consecutively in order to converge to the monolithic solution. That is no fractional error is introduced. In addition, this scheme is very well suited for massively parallel implementation. In fact, one can use ...

Predictor-corrector Smoothing Methods for the Solution of Linear Programs1

Three Steps Block Predictor-Block Corrector Method For The Solution Of General Second Order Ordinary Differential Equations

We consider three steps numerical integrator which is derived by collocation and interpolation of power series approximation solution to generate a linear multistep method which serves as the corrector. The corrector is then implemented in block method. We then propose another numerical integrator which is implemented in block method to serve as a constant order predictor to the corrector. Basi...