Reducibility for a fast-driven linear Klein–Gordon equation

Fast Banded Linear Equation Solvers

A new algorithm for solving triangular linear equations is reported that is signiicantly faster than conventional methods on vector and parallel architectures for small bandwidths. In essence, it is a block version of the cyclic reduction algorithm used for tridiagonal systems of equations, and is applicable to general banded systems as well.

A Fast Algorithm for Testing Reducibility of Trinomials

Fast Boundary Element Method for the Linear Poisson-Boltzmann Equation

This article summarizes the development of a fast boundary element method for the linear Poisson-Boltzmann equation governing biomolecular electrostatics. Unlike previous fast boundary element implementations, the present treatment accommodates finite salt concentrations thus enabling the study of biomolecular electrostatics under realistic physiological conditions. This is achieved by using mu...

CONTROL OF CHAOS IN A DRIVEN NON LINEAR DYNAMICAL SYSTEM

We present a numerical study of a one-dimensional version of the Burridge-Knopoff model [16] of N-site chain of spring-blocks with stick-slip dynamics. Our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. It is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...

designing a fast locking pll

a phase-locked loop (pll) based frequency synthesizer is an important circuit that is used in many applications, especially in communication systems such as ethernet receivers, disk drive read/write channels, digital mobile receivers, high-speed memory interfaces, system clock recovery and wireless communication system. other than requiring good signal purity such as low phase noise and low spu...