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...

in this paper‎, ‎we propose a modification of the second order method‎ ‎introduced in [‎‎q. li and ‎x‎. ‎y. ‎wu‎, a two-step explicit $p$-stable method for solving second order initial value problems‎, ‎textit{‎appl‎. ‎math‎. ‎comput‎.}‎ {‎138}‎ (2003)‎, no. 2-3, ‎435--442‎] for the numerical solution of‎ ‎ivps for second order odes‎. ‎the numerical results obtained by the‎ ‎new method for some...

Predictor-corrector (PC) methods for the numerical solution of stiff ODEs can be extended to include the second derivative of the solution. In this paper, we consider second derivative PC methods with the three-step second derivative Adams-Bashforth as predictor and two-step second derivative Adams-Moulton as corrector which both methods have order six. Implementation of the proposed PC method ...

Automated inspection of Printed Circuit Boards(PCB's) is essential if 100% repeatible inspection is to be carried out. The cost of most commercially available systems for automatic visual inspection of PCB's are beyond the reach of many small to medium manufacturers. The principle objectives of our research is to develop and integrate a micro-computer based image analysis system specifically fo...

In this paper we present a generalization of the predictor corrector method of linear programming problem to semideenite linear programming problem. We consider a direction which, we show, belongs to a family of directions presented by Kojima, Shin-doh and Hara, and, one of the directions analyzed by Monteiro. We show that starting with the initial complementary slackness violation of t 0 , in ...

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...

An infeasible start predictor-corrector algorithm for semideenite programming is proposed. It is a direct extension of the Mizuno-Todd-Ye predictor-corrector algorithm for linear programming. The algorithm uses the

A new class of homotopy continuation methods is developed suitable for globalizing quasiNewton methods for large sparse nonlinear systems of equations. The new continuation methods, described as monolithic homotopy continuation, differ from the classical predictor-corrector algorithm in that the predictor and corrector phases are replaced with a single phase which includes both a predictor and ...