Abstract: The classical Simpson rule is an optimal fourth order two-step integration scheme for first-order initial-value problems; however, it is unconditionally unstable. An A-stabilized version of Simpson rule was given by Chawla et al [3] and an L-stable version was given by Chawla et al [2]. These rules are functionally implicit, and when applied for the time integration of nonlinear diffe...

In 1988 Simpson extended the Donaldson–Uhlenbeck–Yau theorem to context of Higgs bundles, and as an application he proved a uniformization which characterizes complex projective manifolds quasi-projective curves whose universal coverings are unit balls. this paper we give necessary sufficient condition for be uniformized by This generalizes Simpson. Several byproducts also obtained in paper.

For every integer k > 2 let [k] 1 is a subset of [k]<N of the form {w} ∪ { ww0(a0) ...wn(an) : n ∈ {0, ...,m− 1} and a0, ..., an ∈ [k] } where w is a word over k and (wn) m−1 n=0 is a finite sequence of left variable words over k. We study the behavior of a family of measurable events in a probability space index...

the aim of this study is comparison of soil characteristics and biodiversity in plantation of bald cypress and caucasian alder forest stands in kludeh region (mazandaran province). in order to study biodiversity in forest stands and control region, 10 sample plots (releve) were selected and the name and abundance of plant species of the forest floor were recorded. biodiversity of herbal plants ...

The notion of flat $\lambda$-connections as the interpolation usual connections and Higgs fields was suggested by Deligne further studied Simpson. Mochizuki established Kobayashi--Hitchin-type theorem for $\lambda$-flat bundles ($\lambda\neq 0$), which is called correspondence. In this paper, on one hand, we generalize Mochizuki's result to case when base being a compact balanced manifold, more...

The full sibship reconstruction (FSR) problem is the problem of inferring all groups of full siblings from a given population sample using genetic marker data without parental information. The FSR problem remains a significant challenge for computational biology, since an exact solution for the problem has not been found. The new algorithm, named SIMPSON-assisted Descending Ratio (SDR), is devi...

in order to estimate the effects of the macrc~econornic indicators on the income distribution of iran, the time series data during the period of 1971-1991 were used. first the yammetric inequality indicators (the gini coefficients) were estimated for the years 1991-1972. the results show the lowest level of inequality in 1980 with g=0.42 and the highest level in 1982 with g=0.55. arzulysing the...