Edit Profile (opens in new tab) Falcone, Maurizio Co-Author Distance Author ID: falcone.maurizio Published as: Falcone, Maurizio; Falcone, M.; Falcone, Marizio more...less External Links: MGP Documents Indexed: 101 Publications since 1983, including 1 Book and 4 Additional arXiv Preprints 10 Contributions as Editor Reviewing Activity: 2 Reviews Co-Authors: 65 Co-Authors with 98 Joint Publications 1,772 Co-Co-Authors all top 5 Co-Authors 7 single-authored 16 Ferretti, Roberto Giorgio 11 Cristiani, Emiliano 10 Tozza, Silvia 9 Alla, Alessandro 7 Carlini, Elisabetta 6 Cacace, Simone 6 Camilli, Fabio 5 Finzi Vita, Stefano 5 Kalise, Dante 4 Lanucara, Piero 4 Paolucci, Giulio 4 Saluzzi, Luca 3 Bardi, Martino 3 Corrias, Lucilla 3 Durou, Jean-Denis 3 Giorgi, Tiziana 3 Grüne, Lars 3 Natalini, Roberto 3 Pesare, Andrea 3 Seghini, Alessandra 2 Breuß, Michael 2 Capuzzo Dolcetta, Italo 2 Fabrini, Giulia 2 Festa, Adriano 2 López-Pouso, Óscar 2 Palladino, Michele 2 Rosace, R. 2 Soravia, Pierpaolo 2 Vogel, Oliver 2 Volkwein, Stefan 1 Achdou, Yves 1 Başar, Tamer 1 Bhattacharya, Sourabh 1 Bokanowski, Olivier 1 Bonaventura, Luca 1 Bottacin, Sandra 1 Briani, Ariela 1 Dawid, Herbert 1 Forcadel, Nicolas 1 Hinze, Michael 1 Hoch, Philippe 1 Israel, Giorgio 1 Kirsten, Gerhard 1 Kutz, J. Nathan 1 Lopez, Luciano 1 Makridakis, Charalambos G. 1 Manfroni, Tiziana 1 Marinucci, Monica 1 Matzeu, Michele 1 McEneaney, William “Mac” M. 1 Mecca, Roberto 1 Mitchell, Ian M. 1 Monneau, Régis 1 Mula, Olga 1 Pacifico, Agnese 1 Picarelli, Athena 1 Quéau, Yvain 1 Rorro, Marco 1 Rozza, Gianluigi 1 Russo, Alessandro 1 Sagona, Manuela 1 Sahu, Smita 1 Saint-Pierre, Patrick 1 Siconolfi, Antonio 1 Simoncini, Valeria 1 Smits, Robert G. 1 Stefani, Paolo 1 Truini, C. 1 Urban, Karsten 1 Verani, Marco 1 Wirth, Fabian Roger 1 Zhao, Hongkai 1 Zidani, Hasnaa all top 5 Serials 6 SIAM Journal on Scientific Computing 5 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 3 Journal of Computational Physics 3 SIAM Journal on Imaging Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Applied Mathematics and Optimization 2 Control and Cybernetics 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Interfaces and Free Boundaries 2 Springer INdAM Series 1 Computers & Mathematics with Applications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 MCSS. Mathematics of Control, Signals, and Systems 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 International Game Theory Review 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Lecture Notes in Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Dynamic Games and Applications 1 Communications in Applied and Industrial Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Other Titles in Applied Mathematics 1 Advances in Computer Vision and Pattern Recognition all top 5 Fields 78 Numerical analysis (65-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 43 Partial differential equations (35-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Computer science (68-XX) 11 Systems theory; control (93-XX) 10 General and overarching topics; collections (00-XX) 7 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 4 Information and communication theory, circuits (94-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 964 times in 508 Documents Cited by ▼ Year ▼ Semi-Lagrangian approximation schemes for linear and Hamilton-Jacobi equations. Zbl 1335.65001 Falcone, Maurizio; Ferretti, Roberto 104 2014 Convergence analysis for a class of high-order semi-Lagrangian advection schemes. Zbl 0914.65097 Falcone, Maurizio; Ferretti, Roberto 66 1998 An approximation scheme for the optimal control of diffusion processes. Zbl 0822.65044 Camilli, Fabio; Falcone, Maurizio 66 1995 Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods. Zbl 1007.65060 Falcone, M.; Ferretti, R. 61 2002 A numerical approach to the infinite horizon problem of deterministic control theory. Zbl 0715.49023 Falcone, M. 58 1987 Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations. Zbl 0791.65046 Falcone, Marizio; Ferretti, Roberto 51 1994 An approximation scheme for the minimum time function. Zbl 0723.49024 Bardi, M; Falcone, M. 42 1990 An efficient policy iteration algorithm for dynamic programming equations. Zbl 1327.65259 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 32 2015 Numerical methods for pursuit-evasion games via viscosity solutions. Zbl 1018.49027 Bardi, Martino; Falcone, Maurizio; Soravia, Pierpaolo 26 1999 Numerical methods for differential games based on partial differential equations. Zbl 1274.91069 Falcone, M. 26 2006 An efficient algorithm for Hamilton-Jacobi equations in high dimension. Zbl 1070.65072 Carlini, Elisabetta; Falcone, Maurizio; Ferretti, Roberto 24 2004 Discrete dynamic programming and viscosity solutions of the Bellman equation. Zbl 0674.49028 Dolcetta, I. Capuzzo; Falcone, M. 21 1989 Fast semi-Lagrangian schemes for the eikonal equation and applications. Zbl 1154.65053 Cristiani, Emiliano; Falcone, Maurizio 21 2007 An efficient DP algorithm on a tree-structure for finite horizon optimal control problems. Zbl 1423.49024 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 20 2019 A patchy dynamic programming scheme for a class of Hamilton-Jacobi-Bellman equations. Zbl 1259.65097 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio; Picarelli, Athena 18 2012 Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025 Alla, A.; Falcone, M.; Volkwein, S. 17 2017 Numerical schemes for conservation laws via Hamilton-Jacobi equations. Zbl 0827.65085 Corrias, L.; Falcone, M.; Natalini, R. 16 1995 Level sets of viscosity solutions: Some applications to fronts and rendez-vous problems. Zbl 0808.49029 Falcone, M.; Giorgi, T.; Loreti, P. 15 1994 An adaptive POD approximation method for the control of advection-diffusion equations. Zbl 1272.49056 Alla, Alessandro; Falcone, Maurizio 15 2013 A domain decomposition method for Bellman equations. Zbl 0817.65055 Camilli, F.; Falcone, M.; Lanucara, P.; Seghini, A. 14 1994 Convergence of a generalized fast-marching method for an eikonal equation with a velocity-changing sign. Zbl 1180.65112 Carlini, E.; Falcone, M.; Forcadel, N.; Monneau, R. 14 2008 An approximation scheme for evolutive Hamilton-Jacobi equations. Zbl 0931.65067 Falcone, Maurizio; Giorgi, Tiziana 14 1999 Discrete approximation of the minimal time function for systems with regular optimal trajectories. Zbl 0708.49012 Bardi, M.; Falcone, M. 14 1990 An efficient filtered scheme for some first order time-dependent Hamilton-Jacobi equations. Zbl 1407.65093 Bokanowski, Olivier; Falcone, Maurizio; Sahu, Smita 12 2016 Convergence of a large time-step scheme for mean curvature motion. Zbl 1416.65304 Carlini, Elisabetta; Falcone, M.; Ferretti, R. 11 2010 Fully discrete schemes for the value function of pursuit-evasion games. Zbl 0828.90147 Bardi, M.; Falcone, M.; Soravia, P. 11 1994 A finite-difference approximation of a two-layer system for growing sandpiles. Zbl 1174.76018 Falcone, Maurizio; Vita, Stefano Finzi 10 2006 Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations. Zbl 1334.65180 Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Grüne, Lars; Kalise, Dante; Zidani, Hasnaa 10 2015 The minimum time problem and its applications to front propagation. Zbl 0803.65080 Falcone, M. 9 1994 A splitting algorithm for Hamilton-Jacobi-Bellman equations. Zbl 0812.65050 Falcone, Maurizio; Lanucara, Piero; Seghini, Alessandra 9 1994 A semi-Lagrangian scheme for the game \(p\)-Laplacian via \(p\)-averaging. Zbl 1320.65151 Falcone, M.; Finzi Vita, S.; Giorgi, T.; Smits, R. G. 9 2013 Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces. Zbl 1357.68255 Tozza, Silvia; Falcone, Maurizio 9 2016 Slow and quasi-slow solutions of differential inclusions. Zbl 0628.34013 Falcone, M.; Saint-Pierre, Patrick 8 1987 Convergence of discrete schemes for discontinuous value functions of pursuit-evasion games. Zbl 0845.90140 Bardi, Martino; Bottacin, Sandra; Falcone, Maurizio 8 1995 Fully-discrete schemes for the value function of Pursuit-Evasion games with state constraints. Zbl 1179.91043 Cristiani, Emiliano; Falcone, Maurizio 8 2009 Corrigenda: A numerical approach to the infinite horizon problem of deterministic control theory. Zbl 0715.49025 Falcone, M. 8 1991 Can local single-pass methods solve any stationary Hamilton-Jacobi-Bellman equation? Zbl 1296.65094 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio 8 2014 Perspective shape from shading: ambiguity analysis and numerical approximations. Zbl 1246.65199 Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver 7 2012 Adaptive filtered schemes for first order Hamilton-Jacobi equations. Zbl 1427.65160 Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia 7 2018 A time-adaptive semi-Lagrangian approximation to mean curvature motion. Zbl 1119.65370 Carlini, Elisabetta; Falcone, Maurizio; Ferretti, Roberto 6 2006 Approximation of control problems involving ordinary and impulsive controls. Zbl 0929.49018 Camilli, Fabio; Falcone, Maurizio 6 1999 A scheme for the shape-from-shading model with “black shadows”. Zbl 1045.65099 Falcone, M.; Sagona, M.; Seghini, A. 6 2003 On a variational approximation of the effective Hamiltonian. Zbl 1188.65164 Falcone, M.; Rorro, M. 6 2008 Approximation of optimal control problems with state constraints: Estimates and applications. Zbl 0860.65055 Camilli, Fabio; Falcone, Maurizio 6 1996 Uniqueness and approximation of a photometric shape-from-shading model. Zbl 1279.68314 Mecca, Roberto; Falcone, Maurizio 6 2013 Analysis and approximation of the infinite-horizon problem with impulsive controls. Zbl 0931.49023 Camilli, F.; Falcone, M. 5 1997 A characteristics driven fast marching method for the eikonal equation. Zbl 1157.65466 Cristiani, E.; Falcone, M. 5 2008 A semi-Lagrangian scheme for the curve shortening flow in codimension-2. Zbl 1255.65157 Carlini, E.; Falcone, M.; Ferretti, R. 4 2007 Optimal discretization steps in semi-Lagrangian approximation of first-order PDEs. Zbl 0988.65086 Falcone, Maurizio; Ferretti, Roberto; Manfroni, Tiziana 4 2001 Consistency of a large time-step scheme for mean curvature motion. Zbl 1045.65072 Falcone, M.; Ferretti, R. 4 2003 A semi-Lagrangian scheme for the open table problem in granular matter theory. Zbl 1155.74050 Falcone, M.; Finzi Vita, S. 4 2008 Some remarks on the synthesis of feedback controls via numerical methods. Zbl 1054.65511 Falcone, M. 4 2001 A high-order semi-Lagrangian/finite volume scheme for Hamilton-Jacobi-Isaacs equations. Zbl 1325.65091 Falcone, Maurizio; Kalise, Dante 4 2014 A HJB-POD feedback synthesis approach for the wave equation. Zbl 1338.49063 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 4 2016 Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779 Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan 4 2018 A tree structure algorithm for optimal control problems with state constraints. Zbl 1454.65055 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 4 2020 Numerical algorithms for perspective shape from shading. Zbl 1198.68266 Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver 4 2010 A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions. Zbl 1266.65139 Achdou, Yves; Falcone, Maurizio 4 2012 Advances in parallel algorithms for the Isaacs equation. Zbl 1123.91007 Falcone, Maurizio; Stefani, Paolo 3 2005 Numerical methods for viscosity solutions and applications. Zbl 0973.00022 Makridakis, Charalampos 3 2001 Analysis and comparison of two approximation schemes for a radiative transfer system. Zbl 1047.85001 Falcone, Maurizio; López-Pouso, Óscar 3 2003 Numerical approximation of Nash equilibria for a class of non-cooperative differential games. Zbl 1296.91032 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio 3 2013 A high-order scheme for image segmentation via a modified level-set method. Zbl 1437.65094 Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia 3 2020 Convergence results for an averaged LQR problem with applications to reinforcement learning. Zbl 1475.49041 Pesare, Andrea; Palladino, Michele; Falcone, Maurizio 3 2021 An approximation scheme for an eikonal equation with discontinuous coefficient. Zbl 1305.65215 Festa, Adriano; Falcone, Maurizio 3 2014 A comparison of non-Lambertian models for the shape-from-shading problem. Zbl 1380.65046 Tozza, Silvia; Falcone, Maurizio 2 2016 A level-set algorithm for front propagation in the presence of obstacles. Zbl 1179.65077 Falcone, M.; Truini, C. 2 2009 Qualitative and numerical analysis of a class of prey-predator models. Zbl 0599.92018 Falcone, Maurizio; Israel, Giorgio 2 1985 A numerical study for growing sandpiles on flat tables with walls. Zbl 1432.74052 Falcone, M.; Finzi Vita, S. 2 2006 Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD. Zbl 1511.49017 Falcone, Maurizio; Kirsten, Gerhard; Saluzzi, Luca 2 2023 Maximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand side. Zbl 0491.34004 Falcone, M.; Siconolfi, A. 1 1983 A priori estimates for the approximation of a parabolic boundary control problem. Zbl 0899.65042 Briani, Ariela; Falcone, Maurizio 1 1998 High-order approximations for viscosity solutions of Hamilton-Jacobi- Bellman equations. Zbl 0830.65065 Falcone, M.; Ferretti, R. 1 1995 Some remarks on fixed point and Newton techniques for solving the \(S_2\) approximation of transient radiative transfer. Zbl 1043.65140 Falcone, M.; López Pouso, Ó. 1 2003 Discrete-time approximation of optimal control problems for delayed equations. Zbl 0855.49004 Falcone, Maurizio; Rosace, R. 1 1996 Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations. Zbl 1325.65090 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio 1 2014 A dynamic domain decomposition for the eikonal-diffusion equation. Zbl 1404.65153 Cacace, Simone; Falcone, Maurizio 1 2016 A brief survey on semi-Lagrangian schemes for image processing. Zbl 1314.68353 Carlini, Elisabetta; Falcone, Maurizio; Festa, Adriano 1 2013 A generalized fast marching method on unstructured triangular meshes. Zbl 1315.65071 Carlini, E.; Falcone, M.; Hoch, Ph. 1 2013 A new algorithm for the LQR problem with partially unknown dynamics. Zbl 1487.49039 Pacifico, Agnese; Pesare, Andrea; Falcone, Maurizio 1 2022 Convergence of adaptive filtered schemes for first order evolutionary Hamilton-Jacobi equations. Zbl 1453.65214 Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia 1 2020 Surveillance for security as a pursuit-evasion game. Zbl 1448.91049 Bhattacharya, Sourabh; Başar, Tamer; Falcone, Maurizio 1 2014 Error estimates for a tree structure algorithm solving finite horizon control problems. Zbl 1503.49025 Saluzzi, Luca; Alla, Alessandro; Falcone, Maurizio 1 2022 A new mathematical model for traveling sand dunes: analysis and approximation. Zbl 1445.76088 Falcone, M.; Finzi Vita, S. 1 2020 Special issue: Selected papers based on the presentations at the workshop ‘Mean field games and related topics’, held at INdAM, Rome, Italy, May 12–13, 2011. Zbl 1282.91011 1 2012 Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD. Zbl 1511.49017 Falcone, Maurizio; Kirsten, Gerhard; Saluzzi, Luca 2 2023 A new algorithm for the LQR problem with partially unknown dynamics. Zbl 1487.49039 Pacifico, Agnese; Pesare, Andrea; Falcone, Maurizio 1 2022 Error estimates for a tree structure algorithm solving finite horizon control problems. Zbl 1503.49025 Saluzzi, Luca; Alla, Alessandro; Falcone, Maurizio 1 2022 Convergence results for an averaged LQR problem with applications to reinforcement learning. Zbl 1475.49041 Pesare, Andrea; Palladino, Michele; Falcone, Maurizio 3 2021 A tree structure algorithm for optimal control problems with state constraints. Zbl 1454.65055 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 4 2020 A high-order scheme for image segmentation via a modified level-set method. Zbl 1437.65094 Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia 3 2020 Convergence of adaptive filtered schemes for first order evolutionary Hamilton-Jacobi equations. Zbl 1453.65214 Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia 1 2020 A new mathematical model for traveling sand dunes: analysis and approximation. Zbl 1445.76088 Falcone, M.; Finzi Vita, S. 1 2020 An efficient DP algorithm on a tree-structure for finite horizon optimal control problems. Zbl 1423.49024 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 20 2019 Adaptive filtered schemes for first order Hamilton-Jacobi equations. Zbl 1427.65160 Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia 7 2018 Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779 Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan 4 2018 Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025 Alla, A.; Falcone, M.; Volkwein, S. 17 2017 An efficient filtered scheme for some first order time-dependent Hamilton-Jacobi equations. Zbl 1407.65093 Bokanowski, Olivier; Falcone, Maurizio; Sahu, Smita 12 2016 Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces. Zbl 1357.68255 Tozza, Silvia; Falcone, Maurizio 9 2016 A HJB-POD feedback synthesis approach for the wave equation. Zbl 1338.49063 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 4 2016 A comparison of non-Lambertian models for the shape-from-shading problem. Zbl 1380.65046 Tozza, Silvia; Falcone, Maurizio 2 2016 A dynamic domain decomposition for the eikonal-diffusion equation. Zbl 1404.65153 Cacace, Simone; Falcone, Maurizio 1 2016 An efficient policy iteration algorithm for dynamic programming equations. Zbl 1327.65259 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 32 2015 Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations. Zbl 1334.65180 Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Grüne, Lars; Kalise, Dante; Zidani, Hasnaa 10 2015 Semi-Lagrangian approximation schemes for linear and Hamilton-Jacobi equations. Zbl 1335.65001 Falcone, Maurizio; Ferretti, Roberto 104 2014 Can local single-pass methods solve any stationary Hamilton-Jacobi-Bellman equation? Zbl 1296.65094 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio 8 2014 A high-order semi-Lagrangian/finite volume scheme for Hamilton-Jacobi-Isaacs equations. Zbl 1325.65091 Falcone, Maurizio; Kalise, Dante 4 2014 An approximation scheme for an eikonal equation with discontinuous coefficient. Zbl 1305.65215 Festa, Adriano; Falcone, Maurizio 3 2014 Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations. Zbl 1325.65090 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio 1 2014 Surveillance for security as a pursuit-evasion game. Zbl 1448.91049 Bhattacharya, Sourabh; Başar, Tamer; Falcone, Maurizio 1 2014 An adaptive POD approximation method for the control of advection-diffusion equations. Zbl 1272.49056 Alla, Alessandro; Falcone, Maurizio 15 2013 A semi-Lagrangian scheme for the game \(p\)-Laplacian via \(p\)-averaging. Zbl 1320.65151 Falcone, M.; Finzi Vita, S.; Giorgi, T.; Smits, R. G. 9 2013 Uniqueness and approximation of a photometric shape-from-shading model. Zbl 1279.68314 Mecca, Roberto; Falcone, Maurizio 6 2013 Numerical approximation of Nash equilibria for a class of non-cooperative differential games. Zbl 1296.91032 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio 3 2013 A brief survey on semi-Lagrangian schemes for image processing. Zbl 1314.68353 Carlini, Elisabetta; Falcone, Maurizio; Festa, Adriano 1 2013 A generalized fast marching method on unstructured triangular meshes. Zbl 1315.65071 Carlini, E.; Falcone, M.; Hoch, Ph. 1 2013 A patchy dynamic programming scheme for a class of Hamilton-Jacobi-Bellman equations. Zbl 1259.65097 Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio; Picarelli, Athena 18 2012 Perspective shape from shading: ambiguity analysis and numerical approximations. Zbl 1246.65199 Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver 7 2012 A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions. Zbl 1266.65139 Achdou, Yves; Falcone, Maurizio 4 2012 Special issue: Selected papers based on the presentations at the workshop ‘Mean field games and related topics’, held at INdAM, Rome, Italy, May 12–13, 2011. Zbl 1282.91011 1 2012 Convergence of a large time-step scheme for mean curvature motion. Zbl 1416.65304 Carlini, Elisabetta; Falcone, M.; Ferretti, R. 11 2010 Numerical algorithms for perspective shape from shading. Zbl 1198.68266 Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver 4 2010 Fully-discrete schemes for the value function of Pursuit-Evasion games with state constraints. Zbl 1179.91043 Cristiani, Emiliano; Falcone, Maurizio 8 2009 A level-set algorithm for front propagation in the presence of obstacles. Zbl 1179.65077 Falcone, M.; Truini, C. 2 2009 Convergence of a generalized fast-marching method for an eikonal equation with a velocity-changing sign. Zbl 1180.65112 Carlini, E.; Falcone, M.; Forcadel, N.; Monneau, R. 14 2008 On a variational approximation of the effective Hamiltonian. Zbl 1188.65164 Falcone, M.; Rorro, M. 6 2008 A characteristics driven fast marching method for the eikonal equation. Zbl 1157.65466 Cristiani, E.; Falcone, M. 5 2008 A semi-Lagrangian scheme for the open table problem in granular matter theory. Zbl 1155.74050 Falcone, M.; Finzi Vita, S. 4 2008 Fast semi-Lagrangian schemes for the eikonal equation and applications. Zbl 1154.65053 Cristiani, Emiliano; Falcone, Maurizio 21 2007 A semi-Lagrangian scheme for the curve shortening flow in codimension-2. Zbl 1255.65157 Carlini, E.; Falcone, M.; Ferretti, R. 4 2007 Numerical methods for differential games based on partial differential equations. Zbl 1274.91069 Falcone, M. 26 2006 A finite-difference approximation of a two-layer system for growing sandpiles. Zbl 1174.76018 Falcone, Maurizio; Vita, Stefano Finzi 10 2006 A time-adaptive semi-Lagrangian approximation to mean curvature motion. Zbl 1119.65370 Carlini, Elisabetta; Falcone, Maurizio; Ferretti, Roberto 6 2006 A numerical study for growing sandpiles on flat tables with walls. Zbl 1432.74052 Falcone, M.; Finzi Vita, S. 2 2006 Advances in parallel algorithms for the Isaacs equation. Zbl 1123.91007 Falcone, Maurizio; Stefani, Paolo 3 2005 An efficient algorithm for Hamilton-Jacobi equations in high dimension. Zbl 1070.65072 Carlini, Elisabetta; Falcone, Maurizio; Ferretti, Roberto 24 2004 A scheme for the shape-from-shading model with “black shadows”. Zbl 1045.65099 Falcone, M.; Sagona, M.; Seghini, A. 6 2003 Consistency of a large time-step scheme for mean curvature motion. Zbl 1045.65072 Falcone, M.; Ferretti, R. 4 2003 Analysis and comparison of two approximation schemes for a radiative transfer system. Zbl 1047.85001 Falcone, Maurizio; López-Pouso, Óscar 3 2003 Some remarks on fixed point and Newton techniques for solving the \(S_2\) approximation of transient radiative transfer. Zbl 1043.65140 Falcone, M.; López Pouso, Ó. 1 2003 Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods. Zbl 1007.65060 Falcone, M.; Ferretti, R. 61 2002 Optimal discretization steps in semi-Lagrangian approximation of first-order PDEs. Zbl 0988.65086 Falcone, Maurizio; Ferretti, Roberto; Manfroni, Tiziana 4 2001 Some remarks on the synthesis of feedback controls via numerical methods. Zbl 1054.65511 Falcone, M. 4 2001 Numerical methods for viscosity solutions and applications. Zbl 0973.00022 Makridakis, Charalampos 3 2001 Numerical methods for pursuit-evasion games via viscosity solutions. Zbl 1018.49027 Bardi, Martino; Falcone, Maurizio; Soravia, Pierpaolo 26 1999 An approximation scheme for evolutive Hamilton-Jacobi equations. Zbl 0931.65067 Falcone, Maurizio; Giorgi, Tiziana 14 1999 Approximation of control problems involving ordinary and impulsive controls. Zbl 0929.49018 Camilli, Fabio; Falcone, Maurizio 6 1999 Convergence analysis for a class of high-order semi-Lagrangian advection schemes. Zbl 0914.65097 Falcone, Maurizio; Ferretti, Roberto 66 1998 A priori estimates for the approximation of a parabolic boundary control problem. Zbl 0899.65042 Briani, Ariela; Falcone, Maurizio 1 1998 Analysis and approximation of the infinite-horizon problem with impulsive controls. Zbl 0931.49023 Camilli, F.; Falcone, M. 5 1997 Approximation of optimal control problems with state constraints: Estimates and applications. Zbl 0860.65055 Camilli, Fabio; Falcone, Maurizio 6 1996 Discrete-time approximation of optimal control problems for delayed equations. Zbl 0855.49004 Falcone, Maurizio; Rosace, R. 1 1996 An approximation scheme for the optimal control of diffusion processes. Zbl 0822.65044 Camilli, Fabio; Falcone, Maurizio 66 1995 Numerical schemes for conservation laws via Hamilton-Jacobi equations. Zbl 0827.65085 Corrias, L.; Falcone, M.; Natalini, R. 16 1995 Convergence of discrete schemes for discontinuous value functions of pursuit-evasion games. Zbl 0845.90140 Bardi, Martino; Bottacin, Sandra; Falcone, Maurizio 8 1995 High-order approximations for viscosity solutions of Hamilton-Jacobi- Bellman equations. Zbl 0830.65065 Falcone, M.; Ferretti, R. 1 1995 Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations. Zbl 0791.65046 Falcone, Marizio; Ferretti, Roberto 51 1994 Level sets of viscosity solutions: Some applications to fronts and rendez-vous problems. Zbl 0808.49029 Falcone, M.; Giorgi, T.; Loreti, P. 15 1994 A domain decomposition method for Bellman equations. Zbl 0817.65055 Camilli, F.; Falcone, M.; Lanucara, P.; Seghini, A. 14 1994 Fully discrete schemes for the value function of pursuit-evasion games. Zbl 0828.90147 Bardi, M.; Falcone, M.; Soravia, P. 11 1994 The minimum time problem and its applications to front propagation. Zbl 0803.65080 Falcone, M. 9 1994 A splitting algorithm for Hamilton-Jacobi-Bellman equations. Zbl 0812.65050 Falcone, Maurizio; Lanucara, Piero; Seghini, Alessandra 9 1994 Corrigenda: A numerical approach to the infinite horizon problem of deterministic control theory. Zbl 0715.49025 Falcone, M. 8 1991 An approximation scheme for the minimum time function. Zbl 0723.49024 Bardi, M; Falcone, M. 42 1990 Discrete approximation of the minimal time function for systems with regular optimal trajectories. Zbl 0708.49012 Bardi, M.; Falcone, M. 14 1990 Discrete dynamic programming and viscosity solutions of the Bellman equation. Zbl 0674.49028 Dolcetta, I. Capuzzo; Falcone, M. 21 1989 A numerical approach to the infinite horizon problem of deterministic control theory. Zbl 0715.49023 Falcone, M. 58 1987 Slow and quasi-slow solutions of differential inclusions. Zbl 0628.34013 Falcone, M.; Saint-Pierre, Patrick 8 1987 Qualitative and numerical analysis of a class of prey-predator models. Zbl 0599.92018 Falcone, Maurizio; Israel, Giorgio 2 1985 Maximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand side. Zbl 0491.34004 Falcone, M.; Siconolfi, A. 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 754 Authors 35 Falcone, Maurizio 19 Zidani, Hasnaa 18 Ferretti, Roberto Giorgio 15 Carlini, Elisabetta 14 Camilli, Fabio 14 Kalise, Dante 13 Alla, Alessandro 13 Bokanowski, Olivier 12 Grüne, Lars 12 Kunisch, Karl 11 Festa, Adriano 11 Jakobsen, Espen Robstad 11 Picarelli, Athena 10 Reisinger, Christoph 9 Cristiani, Emiliano 9 Tozza, Silvia 8 Kumkov, Sergey S. 8 Patsko, Valerii S. 6 Bonaventura, Luca 6 Breuß, Michael 6 Saluzzi, Luca 6 Semmler, Willi 6 Silva, Francisco J. 6 Turova, Varvara L. 5 Cacace, Simone 5 Capuzzo Dolcetta, Italo 5 Kröner, Axel 5 Warin, Xavier 4 Bermejo, Rodolfo 4 Darbon, Jerome 4 Dower, Peter M. 4 Guo, Bao-Zhu 4 Karlsen, Kenneth Hvistendahl 4 Meng, Tingwei 4 Nakano, Yumiharu 4 Salehi, Rezvan 4 Stipanović, Dušan M. 4 Sun, Bing 4 Tran Vinh Hung 4 Vladimirsky, Alexander 4 Volkwein, Stefan 3 Achdou, Yves 3 Biros, George 3 Bokanowski, Olivier 3 Boscheri, Walter 3 Cardaliaguet, Pierre 3 Dehghan Takht Fooladi, Mehdi 3 del Teso, Félix 3 El Farouq, Naïma 3 Frolkovič, Peter 3 Gholami, Amir 3 Giraldo, Francis X. 3 Kang, Wei 3 Karniadakis, George Em 3 Kim, Philsu 3 McEneaney, William “Mac” M. 3 Mecca, Roberto 3 Mehrenberger, Michel 3 Paolucci, Giulio 3 Pfeiffer, Laurent 3 Qian, Jianliang 3 Qiu, Jingmei 3 Quincampoix, Marc 3 Sahu, Smita 3 Santos, Manuel S. 3 Sassi, Achille 3 Süli, Endre E. 3 Takei, Ryo 3 Tomlin, Claire J. 3 Tsai, Yen-Hsi Richard 3 Xin, Jack X. 3 Yoshioka, Hidekazu 3 Zhao, Hongkai 2 Albi, Giacomo 2 Alwardi, H. 2 Aronna, María Soledad 2 Assellaou, Mohamed 2 Bähr, Martin 2 Baier, Robert 2 Bardi, Martino 2 Barles, Guy 2 Botkin, Nikolai D. 2 Bruhn, Andrés 2 Cai, Xiaofeng 2 Calzola, Elisa 2 Carpio, Jaime 2 Chen, Guanghua 2 Chen, Guangming 2 Chowdhury, Indranil 2 Cipolla, Roberto 2 Cockburn, Bernardo 2 Colera, Manuel 2 Colombo, Rinaldo M. 2 Corrias, Lucilla 2 Cossette, Jean-François 2 Davatzikos, Christos 2 Dawid, Herbert 2 de Pinho, Maria do Rosário 2 De Sterck, Hans 2 Desquesnes, Xavier ...and 654 more Authors all top 5 Cited in 154 Serials 31 Journal of Computational Physics 31 Journal of Scientific Computing 21 Applied Mathematics and Optimization 20 Computers & Mathematics with Applications 19 Applied Numerical Mathematics 18 SIAM Journal on Scientific Computing 15 Mathematics of Computation 15 SIAM Journal on Numerical Analysis 13 Journal of Optimization Theory and Applications 13 Numerische Mathematik 13 Dynamic Games and Applications 10 SIAM Journal on Control and Optimization 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Applied Mathematics and Computation 8 Automatica 6 Journal of Computational and Applied Mathematics 6 Journal of Economic Dynamics & Control 5 Nonlinear Analysis. 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Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis ...and 54 more Serials all top 5 Cited in 38 Fields 270 Numerical analysis (65-XX) 256 Calculus of variations and optimal control; optimization (49-XX) 213 Partial differential equations (35-XX) 93 Systems theory; control (93-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Fluid mechanics (76-XX) 54 Operations research, mathematical programming (90-XX) 29 Computer science (68-XX) 26 Probability theory and stochastic processes (60-XX) 16 Mechanics of deformable solids (74-XX) 16 Biology and other natural sciences (92-XX) 13 Ordinary differential equations (34-XX) 10 Mechanics of particles and systems (70-XX) 10 Information and communication theory, circuits (94-XX) 7 Optics, electromagnetic theory (78-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year