In this paper an analysis will be presented for the ADI (alternating direction implicit) method of Peaceman and Rachford applied to initial-boundary value problems for partial differential equations in two space dimensions. We shall use the method of lines approach. Motivated by developments in the field of stiff nonlinear ordinary differential equations, our analysis will focus on problems whe...

In this paper we describe a systematic procedure to analyze the convergence of degenerate preconditioned proximal point algorithms. We establish weak results under mild assumptions that can be easily employed in context splitting methods for monotone inclusion and convex minimization problems. Moreover, show degeneracy preconditioner allows reduction variables involved iteration updates. streng...

BACKGROUND & OBJECTIVE General health is not simply determined by whether or not an individual is sick, but is dependent on physical, mental and social factors too. One such important factor is an individual's religious inclination. The present study aims to explore the correlation between religious beliefs and quality of life in the students at Jahrom University of Medical Sciences. METHOD T...

Within the self-determination theory (Deci & Ryan, 2000) framework, research has considered the consequences of coaches' autonomy supportive and controlling behaviors on various athlete outcomes (e.g., motivation and performance). The antecedents of such behaviors, however, have received little attention. Coaches (N = 443) from a variety of sports and competitive levels completed a self-report ...

Creating a win-win relationship between biodiversity and human well-being is one of the major current challenges for environmental policy. One way to approach this challenge is to identify sites with both high biodiversity and high human interest in urban areas. Here, we propose a new systematic approach to identify such sites by using land prices and biodiversity indexes for butterflies and bi...

The Douglas–Rachford and Peaceman–Rachford splitting methods are common choices for temporal discretizations of evolution equations. In this paper we combine these methods with spatial discretizations fulfilling some easily verifiable criteria. In the setting of linear dissipative evolution equations we prove optimal convergence orders, simultaneously in time and space. We apply our abstract re...

In the current paper, we derive a rigorous convergence analysis for a broad range of splitting schemes applied to abstract nonlinear evolution equations, including the Lie and Peaceman–Rachford splittings. The analysis is in particular applicable to (possibly degenerate) quasilinear parabolic problems and their dimension splittings. The abstract framework is based on the theory of maximal dissi...

Dwight J. Rouse, M.D., Deborah G. Hirtz, M.D., Elizabeth Thom, Ph.D., Michael W. Varner, M.D., Catherine Y. Spong, M.D., Brian M. Mercer, M.D., Jay D. Iams, M.D., Ronald J. Wapner, M.D., Yoram Sorokin, M.D., James M. Alexander, M.D., Margaret Harper, M.D., John M. Thorp, Jr., M.D., Susan M. Ramin, M.D., Fergal D. Malone, M.D., Marshall Carpenter, M.D., Menachem Miodovnik, M.D., Atef Moawad, M.D...

We consider the alternating proximal gradient method (APGM) proposed to solve a convex minimization model with linear constraints and separable objective function which is the sum of two functions without coupled variables. Inspired by Peaceman-Rachford splitting method (PRSM), a nature idea is to extend APGM to the symmetric alternating proximal gradient method (SAPGM), which can be viewed as ...