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We study analytically and numerically a one-dimensional model of interacting line defects steps fluctuating on a vicinal crystal. Our goal is to formulate and validate analytical techniques for appr...
In this paper, the mechanisms of material removal in chemical mechanical polishing (CMP) processes are investigated in detail by the smoothed particle hydrodynamics (SPH) method. The feature-scale beh...
We describe a large scale simulation e ort using OPAL (Object Oriented Parallel Accelerator Library), that leads to a better quantitative understanding of the existing PSI high power proton cyclotron...
The improved Navier-Stokes characteristic boundary conditions (NSCBC) method for direct numerical simulation of viscous flows, combining six order non-dissipative compact schemes with eight order filt...
In this paper, the mathematical model that describes the radially symmetric deformation of a micro-void centered at a compressible hyperelastic sphere is formulated as a boundary value problem (BVP) o...
This work concern an extension of the asymptotic compensation problem in hyperbolic systems. We introduce and characterize the notion of asymptotic remediability, which consists to compensate asymptot...
The standard equations of linear elasticity have served well over many generations to describe small displacements of elastic systems subject to a variety of forces and/or stresses. However, computati...
Guardian of the genome, p53 gene, and its partners that form the complex network involved in apoptosis and cell cycle arrest, is put under investigation. Some relevant mathematical models are descri...
This paper concerns the problem of asymptotic compensation for a class of discrete disturbed systems. It is an extension of previous works on the problem of finite time space compensation studied for ...
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equati...

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