We design a numerical scheme for transport equations with oscillatory periodic scattering coefficients. The scheme is asymptotic preserving in the diffusion limit as Knudsen number goes to zero. It also captures the homogenization limit as the length scale of the scattering coefficient goes to zero. The proposed method is based on the construction of multiscale finite element basis and a Galerk...

A study of the biology of Indian mackerel, Rastrelliger kanagurta (Cuvier, 1817) in the Western Waters of Aceh, Indonesia was carried out from January to December 2014 and a total of 1343 Indian mackerels were collected randomly twice a month. The allometric coefficients (b) in the present study were between 2.625 and 3.449 with coefficient of determination (R2) values that range between 0.612 ...

Understanding the relationship between growth and temperature will aid in the evaluation of thermal stress and threats to ectotherms in the context of anticipated climate changes. Most Pecten maximus scallops living at high latitudes in the northern hemisphere have a larger maximum body size than individuals further south, a common pattern among many ectotherms. We investigated differences in d...

We consider the length of the longest significance run in a (two-dimensional) Bernoulli net and derive its asymptotic limit distribution. Our results can be considered as generalizations of known theorems in significance runs. We give three types of theoretical results: (1) reliabilitystyle lower and upper bounds, (2) Erdös–Rényi law, and (3) the asymptotic limit distribution. To understand the...

We provide sharp estimates for the probabilistic behaviour of the main parameters of the Euclid algorithm, and we study in particular the distribution of the bit-complexity which involves two main parameters : digit–costs and length of continuants. We perform a “dynamical analysis” which heavily uses the dynamical system underlying the Euclidean algorithm. Baladi and Vallée [2] have recently de...

We study the time and length scales of hydrodynamic dispersion in confined monodisperse sphere packings as a function of the conduit geometry. By a modified Jodrey-Tory algorithm, we generated packings at a bed porosity (interstitial void fraction) of ε=0.40 in conduits with circular, rectangular, or semicircular cross section of area 100πd(p)(2) (where d(p) is the sphere diameter) and dimensio...

The problem of testing two simple hypotheses in a general probability space is considered. For fixed type-I error probability, the best exponential decay rate type-II investigated. In regular asymptotic cases (i.e., when length observation interval grows without limit) given by Stein’s exponent. paper, for space, some non-asymptotic lower and upper bounds are derived. These represent pure analy...

The usual concept of asymptotic independence, as discussed in the context of extreme value theory, requires the distribution of the coordinatewise sample maxima under suitable centering and scaling to converge to a product measure. However, this definition is too broad to conclude anything interesting about the tail behavior of the product of two random variables, which are asymptotically indep...

The theory of mechanism-based strain gradient (MSG) plasticity involves two material length parameters, namely the intrinsic material length l and the mesoscale cell size lε, which are on the order of a few microns and 0.1 μm, respectively. Prior studies suggest that lε has essentially no effect on the macroscopic quantities, but it may affect the local stress distribution. We demonstrate in th...