A fully discrete finite element method, based on a new weak formulation and time-stepping scheme, is proposed for the surface diffusion flow of closed curves in two-dimensional plane. It proved that method can preserve two geometric structures simultaneously level, i.e., perimeter curve decreases time while area enclosed by conserved. Numerical examples are provided to demonstrate convergence e...

Service curves, as introduced by Parekh and Gallager 12, 13] and later generalized by Cruz 7], provide a tool for the analysis of high-speed, integrated services data networks. Given constraints on the burstiness of the input into a network, service curves can be used to compute tight upper bounds for maximum delay and backlog. The purpose of this area-exam paper is to describe the service curv...

One of the big questions in the area of curves over finite fields concerns the distribution of the numbers of points: Which numbers occur as the number of points on a curve of genus g? The same question can be asked of various subclasses of curves. In this article we classify the possibilities for the number of points on genus 4 hyperelliptic supersingular curves over finite fields of order 2, ...

By considering families of periodic pseudo-orbits on the cylindrical phase space of an area-preserving twist map, we construct curves of rational rotation number that are critical points of a non-negative error norm (the mean-square action gradient or "quadratic flux"). Two alternative angle-parametrizations of the curves are presented and numerical evidence is given that the curves possess the...

Characterization of local boiling trends, in addition to the typically reported area-averaged trends, is essential for the robust design and implementation of phase change technologies to sensitive heat transfer applications such as electronics cooling. This paper compares local and area-averaged boiling curves during a phase change process using non-intrusive quantitative infrared thermal visu...

background:  radiochromic film is used for radiation dose measurement, xr-rv3 is used in fluoroscopy and ebt2 film in radiation therapy. the aim was to determine if the dosimetric properties of these two films are comparable in megavolt photon beams. materials and methods: comparison measurements included: calibration curves, heterogeneous phantom dose profiles, and nasopharynx dose distributio...