We present a new class of explicit marching schemes for the wave equation in complex geometry. They rely on a simple embedding of the domain in a uniformCartesian grid, which allows for efficient and automatic implementation but creates irregular cells near the boundary. While existing explicit finite difference schemes are generally restricted in the size of the time step that can be taken by ...

This study aims to develop an unconditionally stable numerical scheme for the equalwidth wave equation. An unconventional finite difference discretization is employed accomplish this. The John von Neumann methodology used examine stability of suggested method, and scheme's precision established. Numerical results with comparisons are shown demonstrate viability approach equal-width

The problem of two interacting particles moving in a d-dimensional billiard is considered here. A suitable coordinate transformation leads to the problem of a particle in an unconventional hyperbilliard. A dynamical map can be readily constructed for this general system, which greatly simplifies calculations. As a particular example, we consider two identical particles interacting through a scr...

Review by Genaro J. Mart́ınez Instituto de Ciencias Nucleares, Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México International Center of Unconventional Computing, University of the West of England, Bristol, United Kingdom Artificial Life, Massachusetts Institute of Technology, Vol. 18, No. 3, Pages 325–328, 2012 DOI:10.1162/artl r 00068 http://www.mitpressjour...

A memristor is a two-terminal nanodevice that its properties attract a wide community of researchers from various domains such as physics, chemistry, electronics, computer and neuroscience. The simple structure for manufacturing, small scalability, nonvolatility and potential of using in low power platforms are outstanding characteristics of this emerging nanodevice. In this report, we review a...

Many applications based on finite element and finite difference methods include the solution of large sparse linear systems using preconditioned iterative methods. Matrix vector multiplication is one of the key operations that has a significant impact on the performance of any iterative solver. In this paper, recent developments in sparse storage formats on vector machines are reviewed. Then, s...