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