In this paper, first, a new predictor-corrector method( called the modified predictorcorrector method ) for the fractional differential equations is developed. And the new method can be formally viewed as a modification as the classical predictor-corrector method. Second, it is proved that the numerical accuracy of this new method is superior to that of the classical predictorcorrector method b...

This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly” constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary. AMS Subject Classification...

A form of prime focus corrector for the Gregory system is proposed that provides the sub-arcsecond field of view up to 3 in diameter for the spectral range 0.35 − 0.90 microns. The corrector includes five lenses made of same glass (fused silica is preferable). The distinctive feature of the corrector consists in dissimilar use of the central and edge zones of a front lens disposed in the exit p...

This paper presents particularly a contextual post processing subsystem for a Turkish machine printed character recognition system. The contextual post processing subsystem is based on positional binary 3gram statistics for Turkish language, an error corrector parser and a lexicon, which contains root words and the inflected forms of the root words. Error corrector parser is used for correcting...

A new predictor-corrector iterative procedure, that combines Newton’s method as predictor scheme and a fifth-order iterative method as a corrector, is designed for solving nonlinear equations in Banach spaces. We analyze the local order of convergence and the regions of accessibility of the new method comparing it with Newton’s method, both theoretical and numerically.

The Corrector web interface provides immediate feedback to students during practice sessions by validating answers. The teacher needs only focus on solving comprehension problems. Corrector is especially well fitted to the SQL database language, as it deals with questions which admit many equivalent queries. Other correction modes handle modifying data contents or structures, use cryptographic ...

Several approaches exist for modeling recovery of faulttolerant systems during the requirements analysis phase. Most of these approaches are inclined by design techniques for recovery. Such designbiased analysis methods unnecessarily constrain an analyst when specifying recovery requirements. To remedy such restrictions, we present an object analysis pattern, called the corrector pattern, that ...

Abstract We propose a new predictor–corrector interior-point algorithm for solving Cartesian symmetric cone horizontal linear complementarity problems, which is not based on usual barrier function. generalize the introduced in Darvay et al. (SIAM J Optim 30:2628–2658, 2020) to problems product of cones. apply algebraically equivalent transformation technique proposed by (Adv Model 5:51–92, 2003...

This paper proposes a new predictor-corrector interior-point method for a class of semidefinite programs, which numerically traces the central trajectory in a space of Lagrange multipliers. The distinguished features of the method are full use of the BFGS quasi-Newton method in the corrector procedure and an application of the conjugate gradient method with an effective preconditioning matrix i...