Ideally, binary-collision algorithms conserve kinetic momentum and energy. In practice, the finite size of collision cells difference in particle locations affect conservation properties. present work, we investigate numerically how accuracy these is affected when large compared with gradient scale length background plasma, a parameter essential full- $f$ fusion plasma simulations. Additionally...

A methodology is presented to systematically modify the hull shape of a ballast-free container ship, in order manage issue righting lever variation waves. The IMO second generation intact stability criteria have been identified as performance assessment tool, while vertical prismatic coefficient has selected leading parameter modifications carry out sensitivity analysis. revised Lackenby proced...

We consider the Hegselmann-Krause dynamics on a one-dimensional torus and provide what we believe is the first proof of convergence of this system. The proof requires only fairly minor modifications of existing methods for proving convergence in Euclidean space.

The Weeks method for calculating numerical values of f(t) from its Laplace transform F(s) involves the numerical evaluation of a set of contour integrals. In this paper, we describe a powerful modification, by means of which results of comparable accuracy can be obtained using approximately half the number of complex function values. This and other possible minor modifications are discussed.

The small-gain condition presented by Polushin et al. may be replaced by a strictly weaker one to obtain essentially the same result. The necessary minor modifications of the proof are given. Using essentially the same arguments, a global version of the result is also presented.

Background: oral and maxillofacial pathology is one of the major courses in basic sciences relating dentistry to medicine and is the basis of learning many clinical sciences. Since the periodic evaluation is important in identifying issues and solving them, in this study, students’ opinions were used to gather useful information for better planning in this course. The purpose of this study is t...