The variational iteration method(VIM) was extended to find approximate solutions of fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The ob...

We describe a point-set method for extracting the normal, curvature, and surface area from unordered data points residing on a surface. This capability relaxes front-tracking’s reliance on connectivity between interfacial points and allows fronttracking to model topological changes at an interface naturally. We use this capability in 2D and 3D front-tracking calculations to model coalescence. W...

Here we describe new tools to be used in fields of the form Gf(2), that help describe properties of elliptic curves defined overGF (2). Further, utilizing these tools we describe a new elliptic curve point compression method, which provides the most efficient use of bandwidth whenever the elliptic curve is defined by y + xy = x + a2x 2 + a6 and the trace of a2 is zero.

This thesis discusses the research and development steps for the simulation of snow with the Material Point Method (MPM). In order to gain an understanding in the technique and mathematics the MPM was researched in detail. All ten steps of the MPM were implemented using C++. First the method was implemented without the collision and implicit update. Next the body-collision for the particles and...

Thomas Edison is regarded by many as the greatest inventor in American history. While most people know that he invented the first long-burning incandescent light bulb and the phonograph, the claim is based more generally on the 1093 patents he was granted. The assumption is that the person receiving a patent is legally certified as the inventor of the device which is the subject of the patent. ...