We consider the problem of acceleration of the Alternative Directions Implicit (ADI) scheme for Dirichlet problem for biharmonic equation. The second Douglas scheme is used as the main vehicle and two full time steps are organised in a single iteration unit in which the explicit operators are arranged differently for the second step. Using an a priori estimate for the spectral radius of the ope...

In this paper, we use a one-step iteration scheme to approximate common fixed points of two quasi-asymptotically nonexpansive mappings. We prove weak and strong convergence theorems in a uniformly convex Banach space. Our results generalize the corresponding results of Yao and Chen [15] to a wider class of mappings while extend those of Khan, Abbas and Khan [4] to an improved one-step iteration...

By making use of tools from convex analysis, we formulate an inexact NewtonLandweber iteration method for solving nonlinear inverse problems in Banach spaces. The method consists of two components: an outer Newton iteration and an inner scheme. The inner scheme provides increments by applying Landweber iteration with non-smooth uniformly convex penalty terms to local linearized equations. The o...

The hybrid algorithms for constructing fixed points of nonlinear mappings have been studied extensively in recent years. The advantage of this methods is that one can prove strong convergence theorems while the traditional iteration methods just have weak convergence. In this paper, we propose two types of hybrid algorithm to find a common fixed point of a finite family of asymptotically nonexp...

In this paper, we introduce a new and general Jungck-type iterative scheme for a pair of nonself mappings and study its strong convergence, stability and data dependence. It is exhibited that our iterative scheme has much better convergence rate than those of Jungck–Mann, Jungck–Ishikawa, Jungck–Noor and Jungck–CR iterative schemes. Numerical examples in support of validity and applications of ...

BACKGROUND Recently, the Eph-ephrinA system was proposed to contribute to the initial interaction between the maternal endometrial epithelium and embryonic trophectoderm. Since the Eph-ephrin interaction can induce adhesive and/or repulsive forces into the cells, we examined the possible role of this system in functional changes in endometrial epithelial cells using endometrial carcinoma-derive...

Within the setting of the categorical approach to total functional programming, we introduce a \many-in-one" recursion scheme that neatly uniies a variety of seemingly diverging strengthenings of the basic recursion scheme of iteration. The new scheme is doubly generic: in addition to being parametric in a functor capturing the signature of an inductive type, it is also parametric in a comonad ...

In this paper, we draw upon connections between bilinear programming and the process of computing (post) fixed points in abstract interpretation. It is well-known that the data flow constraints for numerical domains are expressed in terms of bilinear constraints. Algorithms such as policy and strategy iteration have been proposed for the special case of bilinear constraints that arise from temp...