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