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