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2D euler shape design on nonregular flows using adjoint rankinehugoniot relations
(AIAA Journal, 20091231)Optimal aerodynamic shape design aims to find the minimum of a functional that describes an aerodynamic property, by controlling the partial differential equation modeling the dynamics of the flow that surrounds an aircraft, ... 
A BochevDohrmannGunzburger stabilization method for the primitive equations of the ocean
(Applied Mathematics Letters, 20131231)We introduce a loworder stabilized discretization of the primitive equations of the ocean with highly reduced computational complexity. We prove stability through a specific infsup condition, and weak convergence to a ... 
A class of CTRWs: Compound fractional poisson processes
(Fractional Dynamics: Recent Advances, 20111231)This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. It begins with the characterization of a wellknown Lévy process: The compound Poisson process. The semiMarkov extension ... 
A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equations
(Central European Journal of Mathematics, 20131231)We compare numerical experiments from the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method, applied to three benchmark problems based on two different ... 
A computational model of openirrigated electrode for endocardial RF catheter ablation
(Computing in Cardiology, 20160101)Radiofrequency catheter ablation (RFCA) is an important curative treatment for cardiac arrhythmias. However, during RFCA thrombus formation can occur when the electrodetissue interface temperature exceeds 80Â°C. Openirrigated ... 
A decision tree to assess shortterm mortality after an emergency department visit for an exacerbation of COPD: A cohort study
(Respiratory Research, 20151231)Background: Creating an easytouse instrument to identify predictors of shortterm (30/60day) mortality after an exacerbation of chronic obstructive pulmonary disease (eCOPD) could help clinicians choose specific measures ... 
A differential equation with statedependent delay from cell population biology
(Journal of Differential Equations, 20151231)We analyze a differential equation, describing the maturation of a stem cell population, with a statedependent delay, which is implicitly defined via the solution of an ODE. We elaborate smoothness conditions for the model ... 
A functional limit theorem for stochastic integrals driven by a timechanged symmetric sigmastable Levy process
(Stochastic Processes and their Applications, 20141231)Under proper scaling and distributional assumptions, we prove the convergence in the Skorokhod space endowed with the $M_1$topology of a sequence of stochastic integrals of a deterministic function driven by a timechanged ... 
A Geometric Toolbox for Tetrahedral Finite Element Partitions
(Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations, 20111231)In this work we present a survey of some geometric results on tetrahedral partitions and their refinements in a unified manner. They can be used for mesh generation and adaptivity in practical calculations by the finite ... 
A hybrid method for inversion of 3D DC resistivity logging measurements
(Natural Computing, 20141231)This paper focuses on the application of hp hierarchic genetic strategy (hpHGS) for solution of a challenging problem, the inversion of 3D direct current (DC) resistivity logging measurements. The problem under consideration ... 
A Hyperbolic system and the cost of the controllability for the Stokes system
(Computational and Applied Mathematics, 20141231)This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method, we show that the cost of driving the Stokes system to rest at time $T$ is of order $e^{CIT} ... 
A hyperbolic system and the cost of the null controllability for the Stokes system
(Computational and Applied Mathematics, 20151231)This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method, we show that the cost of driving the Stokes system to rest at time $T$ is of order $e^{C/T}$ ... 
A kinetic scheme for transient mixed flows in non uniform closed pipes: A global manner to upwind all the source terms
(Journal of Scientific Computing, 20111231)We present a numerical kinetic scheme for an unsteady mixed pressurized and free surface model. This model has a source term depending on both the space variable and the unknown U of the system. Using the Finite Volume and ... 
A lower bound on local energy of partial sum of eigenfunctions for LaplaceBeltrami operators
(ESAIM  Control, Optimisation and Calculus of Variations, 20131231)In this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for LaplaceBeltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This ... 
A mathematical model for unsteady mixed flows in closed water pipes
(Science China Mathematics, 20121231)We present the formal derivation of a new unidirectional model for unsteady mixed flows in nonuniform closed water pipes. In the case of free surface incompressible flows, the FSmodel is formally obtained, using formal ... 
A Meanfield model for spin dynamics in multilayered ferromagnetic media
(Multiscale Modeling and Simulation, 20151231)In this paper, we develop a meanfield model for describing the dynamics of spintransfer torque in multilayered ferromagnetic media. Specifically, we use the techniques of Wigner transform and moment closure to connect the ... 
A model for stem cell population dynamics with regulated maturation delay
(Discrete and Continuous Dynamical Systems Series A, 20111231)We develop a structured population model for the maturation process of stem cells in the form of a statedependent delay differential equation. Moreover, results on existence, uniqueness and positivity of solutions as well ... 
A modeling framework for optimizing the flowlevel scheduling with timevarying channels
(Performance Evaluation, 20101231)We introduce a comprehensive modeling framework for the problem of scheduling a finite number of finitelength jobs where the available service rate is timevarying. The main motivation comes from wireless data networks ... 
A modified discontinuous Galerkin method for solving efficiently Helmholtz problems
(Communications in Computational Physics, 20121231)A new solution methodology is proposed for solving efficiently Helmholtz problems. The proposed method falls in the category of the discontinuous Galerkin methods. However, unlike the existing solution methodologies, this ... 
A multilayer method for the hydrostatic NavierStokes equations: A particular weak solution
(Journal of Scientific Computing, 20141231)In this work we present a multilayer approach to the solution of nonstationary 3D NavierStokes equations. We use piecewise smooth weak solutions. We approximate the velocity by a piecewise constant (in z) horizontal ...