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- Homogenization 22
- Viscosity solutions 20
- Finite element method 16
- Stochastic partial differential equations 16
- Averaging 15
- Optimal control 13
- Asymptotic analysis 11
- Asymptotic preserving schemes 11
- Fluid mechanics 11
- Fluid-structure interaction 11
- Global existence 11
- Kinetic equations 11
- Navier-Stokes equations 11
- Turbulence models 11
- Data assimilation 10
- Large eddy simulation 10
- Numerical range 10
- Uncertainty quantification 10
- Diffusion limit 9
- Nonlinear Schrödinger equation 9
- Numerical simulations 9
- PIV 9
- Stability 9
- Asymptotic behavior 8
- Hamilton-Jacobi equations 8
- Micro-macro decomposition 8
- Modal analysis 8
- Nonlocal Hamilton-Jacobi Equations 8
- Oceanography 8
- Schrödinger equation 8
- Shape optimization 8
- Turbulence 8
- Two-scale convergence 8
- Deconvolution models 7
- Navier-Stokes Equations 7
- Regularity 7
- Robust control 7
- Robust optimization 7
- Spectral set 7
- Subdivision 7
- Uniform accuracy 7
- Vlasov equation 7
- B-series 6
- Convergence 6
- Degenerate parabolic equations 6
- Diffusion 6
- Dislocation dynamics 6
- Finite Element Method 6
- Fractured porous media 6
- Interaction fluide-structure 6
- Invariant measure 6
- Level-set approach 6
- Lower-bound gradient estimate 6
- Maximum principle 6
- Nonlocal front propagation 6
- Numerical simulation 6
- Optimization 6
- White noise 6
- BGK equation 5
- Backward error analysis 5
- Controllability 5
- Eikonal equation 5
- Ensemble forecasts 5
- FOS Mathematics 5
- Highly oscillatory problems 5
- Long-time behavior 5
- MPCC 5
- Markov chain 5
- Population dynamics 5
- Porous media 5
- Reaction-diffusion 5
- Reaction-diffusion system 5
- Scattering 5
- Stroboscopic averaging 5
- Timoshenko beam 5
- Vlasov equations 5
- Vlasov-Poisson equation 5
- $L^1-$dependence in time 4
- 65L20 4
- Adjoint model 4
- Asymptotic Analysis 4
- Binary alloys 4
- Boundary layer 4
- Cardiac electrophysiology 4
- Chapman-Enskog expansion 4
- Concrete 4
- Conduction 4
- Conservation laws 4
- DATA ASSIMILATION 4
- Density matrix 4
- Dynamical system 4
- Elasticity 4
- Ensemble forecasting 4
- Entropy 4
- Error estimate 4
- Existence 4
- Fine-scale substructure 4
- Finite elements 4
- Formal series 4
- Geometrical properties 4
- Geophysical fluid dynamics 4
- Gross-Pitaevskii equation 4
- Helmholtz decomposition 4
- Highly-oscillatory 4
- Inf-sup constant 4
- Interpolation 4
- Invariant measures 4
- Kinetic formulation 4
- LBB condition 4
- Landau damping 4
- Maxwell's equations 4
- Modeling under location uncertainty 4
- Modelling 4
- Necessary conditions of optimality 4
- Networks 4
- Nonlinear Schrödinger 4
- Nonlinear optics 4
- Nonlinear partial differential equations 4
- Null-controllability 4
- Numerical analysis 4
- Partial differential equations 4
- Probability mathPR 4
- Quantum systems 4
- Rayleigh waves 4
- Reaction-diffusion systems 4
- Reduced order model 4
- Scattering resonances 4
- Shape derivatives 4
- Sobolev spaces 4
- Splitting 4
- Splitting methods 4
- Stochastic subgrid tensor 4
- Stokes flow 4
- Strong maximum principle 4
- Turbulence modeling 4
- Unbounded solutions 4
- Uniformly accurate 4
- Uniqueness 4
- Viscosity solution 4
- Weak solutions 4
- Well-posedness 4
- Éléments finis 4
- 65L70 3
- Air Traffic Control 3
- Approximation algorithms 3
- Assimilation de données 3
- Assimilation of surface data 3
- Asymptotic preserving 3
- Asymptotic preserving scheme 3
- Asynchronous message-passing system 3
- Backward stochastic differential equations 3
- Beavers-Joseph interface 3
- Bifurcation and catastrophe 3
- Blow up 3
- Boundary conditions 3
- Boundary integral operators 3
- Boundary layers 3
- Combinatorial optimization 3
- Comparison principle 3
- Competing Markov Chains 3
- Concave minimization 3
- Convex function 3
- Crash failures 3
- Cross-contamination 3
- Cross-diffusion 3
- Differentiable function 3
- Dimension reduction 3
- Electromagnetic scattering 3
- Elliptic equations 3
- Ensemble forecast 3
- Entropic quantum drift-diffusion 3
- Equatorial waves 3
- Ergodic problem 3
- Ergodicity 3
- Essential spectrum 3
- Extension 3
- Fiber Fabry-Perot resonator 3
- Fiber optics 3
- Fitzhugh-Nagumo system 3
- Fluid dynamics 3
- Fomin differentiability 3
- Fractal boundary 3
- Geometric integration 3
- Hamiltonian PDEs 3
- Hamiltonian problems 3
- Hamiltonian splitting 3
- Hermite 3
- High-order averaging 3
- Highly oscillatory 3
- Highly-oscillatory evolution equation 3
- Integer programming 3
- Integral representation 3
- Inverse problem 3
- Ionic models 3
- Kinetic equation 3
- Koiter 3
- Kolmogorov equation 3
- LES 3
- Large time behavior 3
- Large transformation 3
- Logistic growth 3
- Lugiato-Lefever equation 3
- MPEC 3
- Magnetohydrodynamics 3
- Markov Chains 3
- Mathematical model 3
- Minimal 3
- Model 3
- Modélisation 3
- Modélisation stochastique 3
- Monte Carlo methods 3
- Multi-scale model 3
- Multiple time-varying delays 3
- NONLINEAR SCHRODINGER-EQUATION 3
- Navier Stokes Equations 3
- Newton's method 3
- Nonlinear diffusion 3
- Nonlinear parabolic equations 3
- Nonlinear programming 3
- Normal form 3
- Numerical methods 3
- Numerical scheme 3
- Observability 3
- Optical flow 3
- Optical resonator 3
- Optimal criterion 3
- Optimality conditions 3
- Ornstein-Uhlenbeck operator 3
- Parabolic equations 3
- Partial differential equation 3
- Perturbed test functions 3
- Plasma physics 3
- Porosity 3
- Primitive equations 3
- Prévision d’ensemble 3
- Quantum transport 3
- Quasi-stroboscopic averaging 3
- Randomized algorithm 3
- Relaxation methods 3
- Resonances 3
- Résonateur optique 3
- STEADY-STATES 3
- Scoliosis 3
- Self-similar domain 3
- Semi-Lagrangian method 3
- Semiclassical analysis 3
- Smoothing function 3
- Solitary waves 3
- Spectral sets 3
- Splitting schemes 3
- Stochastic modeling 3
- Surface differential operators 3
- Symmetric Split-Step method 3
- Test&Set 3
- Time-varying delays 3
- Transient radiative transfer 3
- Transport equations 3
- Trees 3
- Two-scale formulation 3
- Two-scale homogenized system 3
- Upper ocean dynamics 3
- Vibrations 3
- Vlasov-Poisson 3
- Volume integral equation 3
- Wake flow 3
- Waves 3
- Weak order 3
- Weak solution 3
- White noise dispersion 3
- Winkler foundation 3
- 35Q55 2
- 65L04 2
- 90C33 2
- ABC 2
- Accumulated reward 2
- Adjoint system 2
- Agmon estimates 2
- Air Traffic Management 2
- Analyse modale 2
- Analysis of PDEs mathAP 2
- Anisotropic diffusion 2
- Anisotropy 2
- Asymptotic Preserving scheme 2
- Asymptotic expansion 2
- Asymptotic-preserving schemes 2
- Asymptotics 2
- BLOCH MODEL 2
- Bayesian Optimisation 2
- Beavers-Joseph conditions 2
- Bidomain type system 2
- Bifurcation 2
- Bifurcation et catastrophe 2
- Bilinear control 2
- Biological tissues 2
- Birdcage coil 2
- Birkhoff normal form 2
- Blow-up 2
- Boltzmann equation 2
- Born-Oppenheimer approximation 2
- Boussinesq approximation 2
- Boussinesq system 2
- Burgers equation 2
- CONCENTRATION-COMPACTNESS PRINCIPLE 2
- CRSC 2
- Calculus of variations 2
- Cancer chemotherapy 2
- Capacity 2
- Carleman estimate 2
- Cavité Fabry-Pérot 2
- Center manifold 2
- Central limit theorem 2
- Central schemes 2
- Channel flow 2
- Chemical Sensor 2
- Chemical kinetics 2
- Choc 2
- Cloaking 2
- Coaxial cables 2
- Code 2
- Collisionless stellar-systems 2
- Collocation method 2
- Complementarity 2
- Complementarity condition 2
- Complementarity problem 2
- Composition method 2
- Compressible Navier-Stokes equations 2
- Conflict Resolution 2
- Connections 2
- Constraint qualication 2
- Constraint qualification 2
- Continuation methods 2
- Continuum mechanics 2
- Control Engineering 2
- Convection 2
- Convexity constraint 2
- Coupling 2
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- Current-voltage characteristics 2
- Cutting plane 2
- DCT 2
- DNS 2
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- Damped wave equation 2
- Darcy law 2
- Data-driven 2
- Deep UV210 polymer 2
- Degenerate operators 2
- Dehydratation of gypsum 2
- Delta-delta discretization 2
- Derivation 2
- Differential forms 2
- Diffusion-approximation 2
- Dirichlet Laplacian 2
- Discrete dipole approximation 2
- Discretization order 2
- Dispersion 2
- Dispersion curves 2
- Distance geometry 2
- Double layer potential 2
- Dynamic programming 2
- EXISTENCE 2
- Eddy viscosities 2
- Edge singularities 2
- Energy estimates 2
- Enriched finite elements 2
- Ensemble prediction 2
- Ensemble simulation 2
- Equation 2
- Error estimates 2
- Euler equation 2
- Euler equations 2
- Euler scheme 2
- Exact solutions 2
- Existence and uniqueness of optimal solution 2
- Exponential integrators 2
- Exponential mixing 2
- Exterior derivative 2
- FOUP 2
- Factorization 2
- Fast multipole method 2
- Fictitious domain methods 2
- Filtering 2
- Fine-scale 2
- Finite difference methods 2
- Finite volume method 2
- First-order jump interface 2
- Fluid–structure interactions 2
- Fondation de Winkler 2
- Fractured network 2
- Functional calculus 2
- GALACTIC DYNAMICS 2
- GKS-stability 2
- Galaxies 2
- Gas 2
- Generalised continua 2
- Geochemistry 2
- Geometry 2
- Gevrey regularity 2
- Global convergence 2
- Global homotopy 2
- Gradient methods 2
- Grande transformation 2
- H-convergence 2
- HMF model 2
- HOMOGENIZATION 2
- Hamilton-Jacobi equation 2
- Hamilton-Jacobi-Bellman equations 2
- Hamiltonian systems 2
- Helmholtz resonator 2
- Hermite interpolation 2
- High order methods 2
- Highly oscillatory equations 2
- Highly-oscillatory problems 2
- Hitting times 2
- Hybrid transport-diffusion model 2
- Hydrodynamic limit 2
- Hyperbolic PDEs 2
- Hyperbolic relaxation system 2
- Impact echo 2
- Initial boundary value problems 2
- Instabilités de modulation 2
- Integer linear programming 2
- Integro-partial differential equations 2
- Interaction Picture method 2
- Interaction picture method 2
- Invariants 2
- Ionic model 2
- Isothermal solidification 2
- K-pull protocol 2
- Kerr frequency combs 2
- Kinetic model 2
- Kinetic models 2
- Kirchhoff rod 2
- Kreiss-Lopatinskii determinant 2
- Large Eddy Simulation 2
- Large Time Behavior 2
- Large-Scale Distributed Systems 2
- Large-scale PIV 2
- Laser interferometer 2
- Lie algebras 2
- Lie groups 2
- Lift 2
- Limit 2
- Linear Boltzmann equation 2
- Linear complementarity problem 2
- Linear programming 2
- Linearization 2
- Lipschitz 2
- Lipschitz domain 2
- Lipschitz estimates 2
- Location uncertainty 2
- Lojasiewicz inequality 2
- Lotka-Volterra 2
- MODELE SUBGRID 2
- MPVC 2
- Madelung transform 2
- Magnetic field 2
- Magnetic resonance imaging 2
- Magnetic-field 2
- Malignant tumors 2
- Malliavin calculus 2
- Markov models 2
- Mathematical modeling 2
- Maxwell equations 2
- Measure solutions 2
- Mechanical Model 2
- Mechanics 2
- Membranes 2
- Metric 2
- Micro-macro model 2
- Minimal time 2
- Minimizing sequences 2
- Models 2
- Moments 2
- Monotonicity 2
- Multi-scale 2
- Mécanique des fluides 2
- Nano-inscribed slots 2
- Near-integrable systems 2
- Necessary optimality conditions 2
- Non-linear programming 2
- Nonlinear 2
- Nonlinear Schrödinger equations 2
- Nonlinear complementarity problem 2
- Nonlinear coupling 2
- Nonlinear degenerate parabolic equations 2
- Nonlinear geometric optics 2
- Nonlinear reaction-diffusion systems 2
- Nonlinear stability 2
- Normal forms 2
- Numerical method 2
- Numerical schemes 2
- Numerical stability 2
- Operator splitting methods 2
- Optical Flow 2
- Optical micro-resonators 2
- Optical pulses 2
- Optimization model with complementarity constraints 2
- Optique non-linéaire 2
- Orbital stability 2
- PTV 2
- Particle filter 2
- Particle-in-Cell 2
- Peignes de fréquences optique 2
- Penalty method 2
- Penny-shaped crack 2
- Performability 2
- Phase equilibrium 2
- Phase-field method 2
- Phase-field model 2
- Plasma turbulence 2
- Pointwise controllers 2
- Poisson Process 2
- Porc 2
- Positivity 2
- Poutre de Timoshenko 2
- Projection modale 2
- Propagation 2
- Proper orthogonal decomposition POD 2
- Propulsion 2
- Propulsive efficiency 2
- Pseudo-metric 2
- Pseudo-steady-state approximation 2
- Pseudodifferential operator 2
- QSSA 2
- Quadratic differential operators 2
- Quantum Liouville 2
- Quantum Liouville equation 2
- Quantum control 2
- Quantum hydrodynamics 2
- Quasilinear systems 2
- Radiative transfer 2
- Radioactive waste storage 2
- Radiofrequency field 2
- Rate equations 2
- Reaction diffusion systems 2
- Reactive transport 2
- Regularisation 2
- Regularity estimates 2
- Regularization methods 2
- Renormalized solution 2
- Reserve site selection 2
- Residue 2
- Resonance Frequencies 2
- Resonant mode 2
- Resonant tunneling diode 2
- Reynolds equations 2
- Rumor spreading time 2
- Runge-Kutta method 2
- S-series 2
- STABILITY 2
- STELLAR-DYNAMICS 2
- Saddle point 2
- Schrödinger operator 2
- Self-gravitating systems 2
- Semi-classical limit 2
- Semiclassical limit 2
- Shallow-water equations 2
- Shape Optimization 2
- Shock 2
- Shortest paths 2
- Simulation 2
- Simulation des grandes échelles 2
- Single Input -Multiple Output 2
- Singular perturbations 2
- Smoothing functions 2
- Solder form 2
- Soliton 2
- Solutions exactes 2
- Space 2
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- Splitting integrators 2
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- Standard averaging 2
- States 2
- Stationary state 2
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- Stiff terms 2
- Stochastic Burgers equation 2
- Stochastic calculus 2
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- Stochastic flow dynamics 2
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- Stokes-Boussinesq system 2
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- Swine 2
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- TRANSPORT-EQUATIONS 2
- TURBULENCE 2
- Taylor expansion 2
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- Tige de Kirchhoff 2
- Time diminishing schemes 2
- Time-dependent networks 2
- Traces 2
- Transmission problem 2
- Transport equation 2
- Traveling waves 2
- Turbulence Models 2
- Turbulent Kinetic Energy 2
- Two-phase flows 2
- Ultrasound 2
- Unbounded stochastic control problems 2
- Unified formulation 2
- Uniformization 2
- Uniformly accurate method 2
- VVC 2
- Variational formulations 2
- Vertex ordering 2
- Violent relaxation 2
- Wave equation 2
- Wavelets 2
- Weak coupling 2
- Weak global solution 2
- Weighted Sobolev spaces 2
- Weighted anisotropic Sobolev spaces 2
- Whispering gallery modes 2
- Zeolite 2
- Élasticité 2
- Équations aux dérivées partielles 2
- $L^1$-dependence in time 1
- $L^1$-estimates 1
- $α$-turbulence models 1
- 12 uniform accuracy 13 AMS subject classification 2010 74Q10 1
- 15A16 1
- 15A60 1
- 2 SPACE DIMENSIONS 1
- 2-SCALE CONVERGENCE 1
- 2022 2010 Mathematics Subject Classification Primary 35L45 1
- 26B05 1
- 26B25 1
- 3-D singularities 1
- 34D20 1
- 34E13 1
- 35B51 1
- 35D40 1
- 35F21 1
- 35J20 1
- 35J60 1
- 35K15 1
- 35L60 1
- 35L65 1
- 35L67 1
- 35P15 1
- 35Q30 1
- 35Q30 Contents 1
- 35Q83 1
- 35R09 1
- 37L05 1
- 3D FLOW 1
- 3D flow reconstruction 1
- 3D modelling 1
- 3D reconstruction 1
- 3D segmentation 1
- 41A60 1
- 45M15 1
- 47A12 1
- 47A25 1
- 47A63 1
- 49-01 1
- 49R05 1
- 4D variation assimilation 1
- 4DVAR 1
- 4DVar 1
- 58C25 1
- 60H15 1
- 60H35 1
- 62-01 1
- 65-01 1
- 65C20 1
- 65F60 1
- 65K10 1
- 65L05 1
- 65L06 1
- 65L20 14 1
- 65L20 dissipative problem 1
- 65M08 Compressible Euler-Poisson system 1
- 65M15 1
- 65M22 1
- 65M75 1
- 65N30 Stokes equations 1
- 65P10 1
- 65R20 1
- 65Z05 13 1
- 70H05 1
- 74A50 1
- 74F10 1
- 74Q05 fractured porous media 1
- 74Q10 1
- 76D03 1
- 76D05 1
- 76D06 1
- 76F05 1
- 76F65 1
- 76M50 1
- 76Rxx 1
- 76S05ve expansion 1
- 76T10 1
- 79K65 1
- 80M40 1
- 82B40 1
- 82D10 1
- 90C59 1
- 92D15 1
- 92D40 1
- AMS Subject Classification 65L05 1
- AMS Subject Classification Primary 54C20 1
- AMS subject classification 2020 65L04 1
- APPROXIMATION 1
- ARKC 1
- ASYMPTOTIC STABILITY 1
- Absence 1
- Absolute continuity 1
- Absolute value equation 1
- Absolutely minimal extensions 1
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- Absorbance spectra 1
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- Adjoint equation 1
- Adjoint multiple-relaxation-time lattice Boltzmann method 1
- Adjoint systems 1
- Adjoint-based multiple-relaxation-time lattice Boltzmann method 1
- Adjoint-optimisation 1
- Adjustment method 1
- Advection Lagrangienne 1
- Advection equation 1
- Advection-Diffusion 1
- Advection-diffusion-reaction equations 1
- Affine bundle 1
- Agreement problem 1
- Agropyron glael 1
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- Algorithm 1
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- Asymptotic pre-serving scheme AMS subject classifications 35B25 1
- Asymptotic preserving Runge-Kutta 1
- Asymptotic preserving property 1
- Asymptotic preserving shemes 1
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- Attenuation 1
- Averaging techniques 1
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- BOUNDARY LAYERS 1
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- BRUIT 1
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- Balancing Domain Decomposition method 1
- Ballooning instability 1
- Bang-bang functions 1
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- Basal expression 1
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- Bending-shearing coupling 1
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- Box 1
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