| A fully discrete semi-Lagrangian scheme for a first order mean field game problem E Carlini, FJ Silva SIAM Journal on Numerical Analysis 52 (1), 45-67, 2014 | 118 | 2014 |
| Continuous optimal control approaches to microgrid energy management B Heymann, JF Bonnans, P Martinon, FJ Silva, F Lanas, ... Energy Systems 9, 59-77, 2018 | 112 | 2018 |
| Proximal methods for stationary mean field games with local couplings LM Briceno-Arias, D Kalise, FJ Silva SIAM Journal on Control and Optimization 56 (2), 801-836, 2018 | 112 | 2018 |
| A semi-Lagrangian scheme for a degenerate second order mean field game system E Carlini, FJS Álvarez arXiv preprint arXiv:1404.5932, 2014 | 70 | 2014 |
| A variational approach to second order mean field games with density constraints: the stationary case AR Mészáros, FJ Silva Journal de Mathématiques Pures et Appliquées 104 (6), 1135-1159, 2015 | 65 | 2015 |
| Finite mean field games: fictitious play and convergence to a first order continuous mean field game S Hadikhanloo, FJ Silva Journal de Mathématiques Pures et Appliquées 132, 369-397, 2019 | 57 | 2019 |
| First and second order necessary conditions for stochastic optimal control problems JF Bonnans, FJ Silva Applied Mathematics & Optimization 65, 403-439, 2012 | 55 | 2012 |
| On the implementation of a primal-dual algorithm for second order time-dependent mean field games with local couplings L Briceno-Arias, D Kalise, Z Kobeissi, M Lauriere, AM González, FJ Silva ESAIM: Proceedings and Surveys 65, 330-348, 2019 | 53 | 2019 |
| Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations T Bayen, JF Bonnans, F Silva Transactions of the American Mathematical Society 366 (4), 2063-2087, 2014 | 51 | 2014 |
| A semi-discrete in time approximation for a model 1st order-finite horizon mean field game problem F Camilli, FJ Silva Networks and heterogeneous media 7 (2), 263-277, 2012 | 43 | 2012 |
| A stochastic continuous time model for microgrid energy management B Heymann, JF Bonnans, F Silva, G Jimenez 2016 European Control Conference (ECC), 2084-2089, 2016 | 38 | 2016 |
| The planning problem in mean field games as regularized mass transport PJ Graber, AR Mészáros, FJ Silva, D Tonon Calculus of Variations and Partial Differential Equations 58, 1-28, 2019 | 36 | 2019 |
| On the Discretization of Some Nonlinear Fokker--Planck--Kolmogorov Equations and Applications E Carlini, FJ Silva SIAM Journal on Numerical Analysis 56 (4), 2148-2177, 2018 | 32 | 2018 |
| On the variational formulation of some stationary second-order mean field games systems AR Mészáros, FJ Silva SIAM Journal on Mathematical Analysis 50 (1), 1255-1277, 2018 | 30 | 2018 |
| A semi-Lagrangian scheme for a modified version of the Hughes’ model for pedestrian flow E Carlini, A Festa, FJ Silva, MT Wolfram Dynamic Games and Applications 7, 683-705, 2017 | 30 | 2017 |
| Second order analysis for strong solutions in the optimal control of parabolic equations T Bayen, FJ Silva SIAM Journal on Control and Optimization 54 (2), 819-844, 2016 | 26 | 2016 |
| Structural stability, asymptotic stability and exponential stability for linear multidimensional systems: the good, the bad and the ugly O Bachelier, T Cluzeau, R David, FJ Silva Álvarez, N Yeganefar, ... International Journal of Control 91 (12), 2714-2725, 2018 | 25 | 2018 |
| Semi-Lagrangian schemes for mean field game models E Carlini, FJ Silva 52nd IEEE Conference on Decision and Control, 3115-3120, 2013 | 16 | 2013 |
| On the asymptotic nature of first order mean field games M Fischer, FJ Silva Applied Mathematics & Optimization 84, 2327-2357, 2021 | 15 | 2021 |
| Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems F Álvarez, J Bolte, JF Bonnans, FJ Silva Mathematical programming 135 (1), 473-507, 2012 | 15 | 2012 |
