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