In this paper we study the sedimentation of several thousand circular particles in 2D using the method of distributed Lagrange multipliers for solid-liquid ow. The simulation gives rise to ngering which resembles Rayleigh-Taylor instabilities. The waves have a well de ned wavelength and growth rate which can be modeled as a conventional Rayleigh-Taylor instability of heavy uid above light. The ...

let $g$ be a $p$-group of nilpotency class $k$ with finite exponent $exp(g)$ and let $m=lfloorlog_pk floor$. we show that $exp(m^{(c)}(g))$ divides $exp(g)p^{m(k-1)}$, for all $cgeq1$, where $m^{(c)}(g)$ denotes the c-nilpotent multiplier of $g$. this implies that $exp( m(g))$ divides $exp(g)$, for all finite $p$-groups of class at most $p-1$. moreover, we show that our result is an improvement...

The performance of RSA hardware is primarily determined by an efficient implementation of the long integer modular arithmetic and the ability to utilize the Chinese Remainder Theorem (CRT) for the private key operations. This paper presents the multiplier architecture of the RSA crypto chip, a high-speed hardware accelerator for long integer modular arithmetic. The RSA multiplier datapath is re...

This paper presents a VLSI design approach for a high speed and real time Discrete Wavelet Transform computing. The hardware requirement is a major concern in the computation of discrete wavelet transform. There are many multiplier-less architecture for DWT for reducing the hardware requirement. But it is observed that the approximation method for constant multiplier implementation in DWT can i...

A rapid and proficient in power requirement multiplier is always vital in electronics industry like DSP, image processing and ALU in microprocessors. Multiplier is such an imperative block w ith respect to power consumption and area occupied in the system. In order to meet the demand for high speed, various parallel array multiplication algorithms have been proposed by a number of authors. The ...

Microchannel electron multipliers with tilted structures are simulated using the Monte Carlo method. Gains of secondary electrons are calculated for different structures of the electron multiplier. For a short tilted cylindrical channel of the electron multiplier, a maximum gain is achieved greater than 10 at a tilt angle near 25 . The maximum gain is about 10 times larger than that of the nont...

Asymptotic reductions of the Fanno model for one-dimensional turbulent compressible flow of a perfect gas in a long tube are investigated. Conservation laws are derived using the multiplier method for a nonlinear wave equation and a nonlinear diffusion equation for the mean velocity and a nonlinear diffusion equation for the mean pressure. Two conserved quantities for the mean velocity are obta...

We consider the construction of multiplier spaces for use with the mortar finite element method in three spatial dimensions. Abstract conditions are given for the multiplier spaces which are sufficient to guarantee a stable and convergent mortar approximation. Three examples of multipliers satisfying these conditions are given. The first one is a dual basis example while the remaining two are b...