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LBMHPC  An opensource tool for fluid simulations. Case study: Unified parallel C (UPCPGAS)
(Proceedings  IEEE International Conference on Cluster Computing, ICCC, 20151231)The main motivation of this work is the evaluation of the Unified Parallel C (UPC) model, for Boltzmannfluid simulations. UPC is one of the current models in the socalled Partitioned Global Address Space paradigm. This ... 
Learning to classify software defects from crowds: a novel approach
(Applied Soft Computing, 20171101)In software engineering, associating each reported defect with a cate gory allows, among many other things, for the appropriate allocation of resources. Although this classification task can be automated using stan dard ... 
A leastsquares implicit RBFFD closest point method and applications to PDEs on moving surfaces
(Journal of Computational Physics, 201810)The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):19431961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs) on smooth surfaces, using a closest point ... 
Lessons from Two Design–Build–Test–Learn Cycles of Dodecanol Production in Escherichia coli Aided by Machine Learning
(ACS Synthetic Biology, 20190101)The Design–Build–Test–Learn (DBTL) cycle, facilitated by exponentially improving capabilities in synthetic biology, is an increasingly adopted metabolic engineering framework that represents a more systematic and efficient ... 
Leveraging the Performance of LBMHPC for Large Sizes on GPUs using Ghost Cells
(ICA3PP: 15th International Conference on Algorithms and Architectures for Parallel Processing, 20161110)Today, we are living a growing demand of larger and more efficient computational resources from the scienti c community. On the other hand, the appearance of GPUs for general purpose computing supposed an important advance ... 
Leveraging the performance of LBMHPC for large sizes on GPUs using ghost cells
(Algorithms and Architectures for Parallel Processing, 20161125)Today, we are living a growing demand of larger and more efficient computational resources from the scientific community. On the other hand, the appearance of GPUs for general purpose computing supposed an important advance ... 
A LêGreuel type formula for the image Milnor number
(Hokkaido Mathematical Journal, 201902)Let $f\colon (\mathbb{C}^n,0)\to (\mathbb{C}^{n+1},0)$ be a corank 1 finitely determined map germ. For a generic linear form $p\colon (\mathbb{C}^{n+1},0)\to(\mathbb{C},0)$ we denote by $g\colon (\mathbb{C}^{n1},0)\to ... 
Lieb–Robinson Bounds for Multi–Commutators and Applications to Response Theory
(20160101)We generalize to multi–commutators the usual Lieb–Robinson bounds for commutators. In the spirit of constructive QFT, this is done so as to allow the use of combinatorics of minimally connected graphs (tree expan sions) ... 
Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the oneconstant approximation
(Mathematical Models and Methods in Applied Sciences, 20161231)We consider the twodimensional Landaude Gennes energy with several elastic constants, subject to general $k$radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent ... 
Load balancing in processor sharing systems
(Telecommunication Systems, 20111231)We investigate optimal load balancing strategies for a multiclass multiserver processorsharing system with a Poisson input stream, heterogeneous service rates, and a serverdependent holding cost per unit time. Specifically, ... 
Local Exact Controllability for the OneDimensional Compressible NavierStokes Equation
(Archive for Rational Mechanics and Analysis, 20121231)In this paper we deal with the isentropic (compressible) NavierStokes equation in one space dimension and we adress the problem of the boundary controllability for this system. We prove that we can drive initial conditions ... 
Local nonobtuse tetrahedral refinements around an edge
(Applied Mathematics and Computation, 20131231)In this note we show how to generate and conformly refine nonobtuse tetrahedral meshes locally around and towards an edge so that all dihedral angles of all resulting tetrahedra remain nonobtuse. The proposed technique can ... 
A local search method for graph clustering heuristics based on partitional distribution learning
(IEEE Congress on Evolutionary Computation, 2017)The community structure of complex networks reveals hidden relationships in the organization of their constituent nodes. Indeed, many practical problems stemming from different fields of knowledge such as Biology, Sociology, ... 
Localized solutions and filtering mechanisms for the discontinuous Galerkin semidiscretizations of the 1d wave equation [Solutions localisées et mécanismes de filtrage pour les approximations de Galerkin discontinues de l'équation des ondes.]
(Comptes Rendus Mathematique, 20101231)We perform a complete Fourier analysis of the semidiscrete 1d wave equation obtained through a P1 discontinuous Galerkin (DG) approximation of the continuous wave equation on an uniform grid. The resulting system exhibits ... 
Localized solutions for the finite difference semidiscretization of the wave equation [Solutions localisées pour la semidiscrétisation par différences finies de l'équation des ondes]
(Comptes Rendus Mathematique, 20101231)We study the propagation properties of the solutions of the finite difference space semidiscrete wave equation on a uniform grid of the whole Euclidean space. We provide a construction of high frequency wave packets that ... 
Logarithmic connections on principal bundles over a Riemann surface
(arxiv, 2017)Let $E_G$ be a holomorphic principal $G$bundle on a compact connected Riemann surface $X$, where $G$ is a connected reductive complex affine algebraic group. Fix a finite subset $D\, \subset\, X$, and for each $x\,\in\, ... 
Long time dynamics of a multidimensional nonlinear lattice with memory
(Discrete and Continuous Dynamical Systems  Series B, 20151231)This work is devoted to study the nature of vibrations arising in a multidimensional nonlinear periodic lattice structure with memory. We prove the existence of a global attractor. In the homogeneous case under a restriction ... 
Long time versus steady state optimal control
(SIAM Journal on Control and Optimization, 20131231)This paper analyzes the convergence of optimal control problems for an evolution equation in a finite timehorizon [0, T] toward the limit steady state ones as T ?8. We focus on linear problems. We first consider linear ... 
Longitudinal variations of brain functional connectivity: A case report study based on a mouse model of epilepsy
(F1000Research, 20151231)Brain Functional Connectivity (FC) quantifies statistical dependencies between areas of the brain. FC has been widely used to address altered function of brain circuits in control conditions compared to different pathological ... 
Lorentz estimates for asymptotically regular fully nonlinear parabolic equations
(Mathematische Nachrichten, 20170620)We prove a global Lorentz estimate of the Hessian of strong solutions to the CauchyDirichlet problem for a class of fully nonlinear parabolic equations with asymptotically regular nonlinearity over a bounded $C^{1,1}$ ...