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