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The numerical simulation of semiconductor devices is extremely demanding in term of computational time because it involves complex embedded numerical schemes. At the kernel of these schemes is the solution of very ill-conditioned large linear systems. In this paper, we present the various ingredients of some hybrid iterative schemes that play a central role(More)
Bacillus subtilis swarms rapidly over the surface of a synthetic medium creating remarkable hyperbranched dendritic communities. Models to reproduce such effects have been proposed under the form of parabolic Partial Differential Equations representing the dynamics of the active cells (both motile and multiplying), the passive cells (non-motile and(More)
During the last decade, North American policymakers have started to demand more representative research populations. Several papers have suggested that there has been improvement, over the last decade, in the number of studies that include women as subjects, yet these same papers have expressed concern that many investigators omit analysis of data by sex(More)
This paper is aimed at studying the formation of patches in a cross-diffusion system without reaction terms when the diffusion matrix can be negative but with positive self-diffusion. We prove existence results for small data and global a priori bounds in space-time Lebesgue spaces for a large class of ’diffusion’ matrices. This result indicates that(More)
The numerical simulation of semiconductor devices is extremely demanding in term of computational time because it involves complex embedded numerical schemes. At the kernel of these schemes is the solution of very ill-conditioned large linear systems. In this paper, we present the various ingredients of some hybrid iterative schemes that play a central role(More)
In this paper, we present some parallel implementations of domain decomposition techniques for the solution of the drift diffusion equations involved in 2D semiconductor device modeling. The model describes the stationary state of a device when biases are applied to its bounds. The mixed dual formulation is retained. Therefore, we have to deal with a system(More)
Models of self-organizing bacterial communities and comparisons with experimental observations. dynamics with size dependency–strain phenomena. [4] Benoˆıt Perthame. Why hyperbolic and kinetic models for cell populations self-organization? In Hyperbolic problems: theory, numerics and applications , volume 67 of Proc. The non-local Fisher-KPP equation:(More)
We start from a mathematical model which describes the collective motion of bacteria taking into account the underlying biochemistry. This model was first introduced by Keller-Segel [13]. A new formulation of the system of partial differential equations is obtained by the introduction of a new variable (this new variable is similar to the quasi-Fermi level(More)
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