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