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Numerical analysis Backstepping Finite element Finite elements Transport equation Periodic homogenization Data assimilation Neural networks Mathematical modeling FreeFem++ Optimal control Navier-Stokes equations Population dynamics Maximum principle Domain decomposition methods Numerical simulations Reduced basis method Integro-differential equations Boundary conditions Asymptotic analysis Traveling waves Homogenization Chemotaxis Linear elasticity Observability Domain decomposition Exact controllability Wave equation Uncertainty quantification Hamilton-Jacobi equations Optimization Entropy Error estimates Discontinuous Galerkin Analyse numérique Shape optimization Schrödinger equation Finite volume scheme Viscosity solutions Analyse asymptotique Null controllability Modélisation Controllability Mathematical biology Radiative transfer General relativity Gamma-convergence Convergence Shells Level set method Quantum control Stability Sub-Riemannian geometry Incompressible fluid Finite volume Hemodynamics Tumor growth Asymptotic behavior Hyperbolic systems Inverse problem Existence Control Kinetic equations Heat equation Parameter estimation Integral equation Travelling waves Finite volume method Cell population dynamics Cancer Numerical methods Hamilton-Jacobi equation Optimisation de forme Mean field games Partial differential equations Nonlinear elasticity Maxwell equations Numerical simulation Dimension reduction Adaptive evolution Finite volumes Boltzmann equation Helmholtz equation Exponential stability Contrôle optimal Inverse problems Finite element method Parallel computing Gross-Pitaevskii equation Pontryagin maximum principle Fluid-structure interaction Computational fluid dynamics Reaction-diffusion equations Modeling Incompressible limit Stabilization Stability analysis Elasticity Calculus of variations Blood flow