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Mots-clés

Competing Markov Chains Asymptotic preserving schemes Combinatorial optimization Kinetic formulation Convergence Stability Uniform accuracy Binary alloys Quantum systems Gross-Pitaevskii equation 65L20 Optimal control Chapman-Enskog expansion Controllability Asymptotic Analysis Burgers equation Splitting Nonlocal front propagation LBB condition Viscosity solutions Adjoint model Level-set approach Vlasov equation Boundary integral operators Population dynamics Long-time behavior Formal series Numerical range BGK equation Geometrical properties Eikonal equation Markov chain Averaging Splitting methods Hamilton-Jacobi equations Dislocation dynamics Diffusion limit Air Traffic Control Regularity Probability mathPR Cardiac electrophysiology Stochastic partial differential equations Density matrix White noise Nonlinear Schrödinger equation Micro-macro decomposition Asymptotic preserving Backward stochastic differential equations Highly-oscillatory Newton's method Interpolation Inf-sup constant Homogenization Entropy Invariant measures FOS Mathematics Oceanography Subdivision Schrödinger equation Highly oscillatory problems Reaction-diffusion systems MPCC Robust control Finite element method Convex function Vlasov-Poisson equation Asymptotic preserving scheme Shape derivatives Necessary conditions of optimality Robust optimization B-series Uniformly accurate Invariant measure Numerical simulations Degenerate parabolic equations Kinetic equations Reaction-diffusion system Approximation algorithms Numerical simulation Stroboscopic averaging Lower-bound gradient estimate Concave minimization Assimilation of surface data Null-controllability Maximum principle Reaction-diffusion 65L70 Global existence Shape optimization $L^1-$dependence in time Conservation laws Asymptotic behavior Blow up Viscosity solution Asynchronous message-passing system Nonlocal Hamilton-Jacobi Equations Backward error analysis Crash failures Asymptotic analysis Spectral set