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