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Gross-Pitaevskii equation Cell population dynamics Homogenization Grenoble Well-balanced scheme Pontryagin maximum principle Existence A posteriori error estimate Riemann problem Traveling waves Hyperbolic systems Two-phase flows Guaranteed upper bound Hamilton-Jacobi equations Analyse numérique Null controllability Domain decomposition Finite volume scheme Numerical analysis Differential geometry Finite volume method Stabilization Finite element method Mean field games Imaging in complex media Transport equation Mesh adaptation Shape optimization Mathematical modeling Structured populations Neural networks Data assimilation Controllability Chemotaxis Calculus of variations Kinetic equations Inverse problem Asymptotic analysis General relativity Tumor growth Computational fluid dynamics Finite volume Relaxation Navier-Stokes equations Error estimates Linear elasticity Wave equation Control Adaptive evolution Partial differential equations ALE Hamilton-Jacobi equation A posteriori analysis Junctions Boundary conditions Maxwell equations Mathématiques Convergence Eigenvalues Duality Gamma-convergence Cell division cycle Numerical methods Adaptive dynamics Boltzmann equation Cell division Analyse asymptotique Cancer Blood flow Optimal design Asymptotics Hemodynamics Heat equation Periodic homogenization Optimal control Nonlinear elasticity Numerical simulations Sadco Incompressible fluid Robustness Uncertainty quantification Stability Level set method Error estimate Acupuncture Interaction fluide-structure Maximum principle Finite elements Shells Regularity Numerical simulation Reaction-diffusion equations Travelling waves Porous media A posteriori error estimates Elasticity Schrödinger equation Fluid-structure interaction FreeFem++ Viscosity solutions