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...

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...

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...

Three interior point methods are proposed for sufficient horizontal linear complementarity problems (HLCP): a large update path following algorithm, a first order corrector-predictor method, and a second order corrector-predictor method. All algorithms produce sequences of iterates in the wide neighborhood of the central path introduced by Ai and Zhang. The algorithms do not depend on the handi...

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...

This paper concerns the random fluctuation theory of a one dimensional elliptic equation with highly oscillatory random coefficient. Theoretical studies show that the rescaled random corrector converges in distribution to a stochastic integral with respect to Brownian motion when the random coefficient has short-range correlation. When the random coefficient has long range correlation, it was s...

The paper provides a detailed analysis of a short step interior point algorithm applied to linear control constrained optimal control problems. Using an affine invariant local norm and an inexact Newton corrector, the well-known convergence results from finite dimensional linear programming can be extended to the infinite dimensional setting of optimal control. The present work complements a re...

A corrector is used to reduce or eliminate statistical weakness of a physical random number generator. A description of linear corrector generalizing post-processing described by M. Dichtl at FSE’07 [4] is introduced. A general formula for non linear corrector, determining the bias and the minimal entropy of the output of a function is given. Finally, a concrete and efficient construction of po...