Computational method for acoustic wave focusing
DOI: 10.1504/IJCSM.2007.013760 | A.G. Ramm, S. Gutman | Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behaviour can be understood as a solution of a potential scattering problem with the p... | 1 - 15 |
Stable multi-dimensional model reduction and IIR filter design
DOI: 10.1504/IJCSM.2007.013760 | J. Abouir, A. Cuyt | It is well-known that model reduction techniques applied to stable multi-dimensional Linear Shift-Invariant (LSI) systems with Infinite-extent Impulse Response (IIR) do not necessarily guarantee a stable reduced system. Several conditions e... | 16 - 27 |
Radial function collocation solution of partial differential equations in irregular domains
DOI: 10.1504/IJCSM.2007.013760 | V. Pereyra, G. Scherer, P. Gonzalez Casanova | We consider a collocation method using radial functions for the solution of partial differential equations in irregular domains. We use a regularised least squares approach to solve the potentially ill-conditioned problems that may arise. T... | 28 - 41 |
On the development of effective algorithms for the numerical solution of singularly perturbed two-point boundary value problems
DOI: 10.1504/IJCSM.2007.013760 | Steven Capper, Jeff Cash, Francesca Mazzia | Singular perturbation boundary value problems have proved to be hard to solve numerically because their solutions have regions of rapid variation. Extensive numerical experience has shown that it is important to consider the conditioning of... | 42 - 57 |
Mathematical models of electrical discharges in air at atmospheric pressure: a derivation from asymptotic analysis
DOI: 10.1504/IJCSM.2007.013760 | Pierre Degond, Brigitte Lucquin-Desreux | We derive some mathematical models describing electrical discharges at atmospheric pressure. We start from the coupled system of Euler–Maxwell equations for all species that we scale according to some relevant physical units. Among the nine... | 58 - 97 |
A brief introduction to integrable systems
DOI: 10.1504/IJCSM.2007.013760 | C. Brezinski | Integrable systems arise in many branches of science. The aim of this paper is to briefly survey this topic, and to give access to the corresponding literature.... | 98 - 106 |
Chaos, diversity, turbulence and sustainable development
DOI: 10.1504/IJCSM.2007.013760 | Jacques C.J. Nihoul | Palaeoclimatic studies and models provide valuable assets for the understanding of the profound changes that the Earth|s planet and its planetary envelope risk to undergo in a near future – models of sustainable development at decanal to ce... | 107 - 114 |
The realtime Vision System for small-sized target tracking
DOI: 10.1504/IJCSM.2007.013760 | Andrey A. Boguslavsky, Sergey M. Sokolov | In this paper the real-time Vision System (VS) for small-sized target tracking is described. The target is a spot of a compact laser projector. The considered VS is intended for embedding into a triangulation range measurement system. This ... | 115 - 127 |
Riccati equations arising in boundary control of fluid structure interactions
DOI: 10.1504/IJCSM.2007.013760 | I. Lasiecka, A. Tuffaha | We consider a boundary control system for a fluid structure interaction model. This system describes the motion of an elastic structure inside a viscous fluid with interaction taking place at the boundary of the structure, and with the poss... | 128 - 146 |
A note on bar instabilities in very wide rivers
DOI: 10.1504/IJCSM.2007.013760 | Philip Hall | The instability of sediment-carrying rivers to bar instabilities is investigated in very wide rivers. Previous investigations of such problems in rivers of finite width are in fact inconsistent. We show how the equations used previously can... | 147 - 156 |
