Several methods have recently been developed to solve multiphysics transients using the Improved Quasi-Static method and its derivatives. In order address some perceived drawbacks of these methods, we a new for solving transient calculations Predictor-Corrector method. Our involves computing reactivity feedback parameters during each transport timestep in enable on small timescale used by point...

We consider an elliptic pseudo-differential equation with a highly oscillating linear potential modeled as a stationary ergodic random field. The random field is a function composed with a centered long-range correlated Gaussian process. In the limiting of vanishing correlation length, the heterogeneous solution converges to a deterministic solution obtained by averaging the random potential. W...

CMPSm is a MATLAB program using a predictor-corrector path-following method for tracing homotopy curves to approximate all isolated solutions of a system of polynomial equations. The program was originally developed for the cheater's homotopy, but it can be also used for linear and polyhedral homotopies. The software CMPSm, this manual and some numerical examples are available at

In this paper, we propose and analyze a new predictor-corrector method for solving a nonlinear system of equations using the weight combination of mid-point, Trapezoidal and quadrature formulas. A new algorithm based on this method has been presented. The proposed method has been tested on a series of examples published in the literature and shows good results. Comparison with other similar met...

Most of the quadrupole magnets in the KEK B-factory are accompanied by a set of vertical and horizontal dipole corrector magnets in both the LER and HER rings[1]. The typical separation between a quadrupole and a dipole corrector magnet is 202 mm, as measured from the laminated ends. This corresponds to ~3.7 (2.4) times of the bore radius of a quadrupole magnet in the arc (straight) sections. S...

We study the local convergence of a predictor-corrector algorithm for semideenite programming problems based on the Monteiro-Zhang uniied direction whose polynomial convergence was recently established by Monteiro. We prove that the suucient condition for superlinear convergence of Potra and Sheng applies to this algorithm and is independent of the scaling matrices. Under strict complementarity...

Abstract Predictor–corrector schemes are designed to be a compromise retain the stability properties of implicit and computational efficiency explicit ones. In this paper complete analytical study for linear mean-square two-parameter family Euler predictor–corrector scalar stochastic differential equations is given. The analyzed given in terms two parameters that control degree implicitness met...

Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...

We propose a form of a lens corrector at the prime focus of a hyperboloidal mirror that provides a flat field of view up to 3◦ diameter at image quality D80 < 0.8 arcsec in integrated (0.32– 1.10 μm) light. The corrector consists of five lenses made of fused silica. Only spherical surfaces are used, so the system is capable of achieving better images, if necessary, by aspherizing the surfaces. ...

MOTIVATION High-throughput screening (HTS) plays a central role in modern drug discovery, allowing for testing of >100,000 compounds per screen. The aim of our work was to develop and implement methods for minimizing the impact of systematic error in the analysis of HTS data. To the best of our knowledge, two new data correction methods included in HTS-Corrector are not available in any existin...