Publications
Articles
Cacace, S., Oliviero, A., Reliable optimal controls for SEIR models in epidemiology, (2024) Mathematics and Computers in Simulation, 223, pp. 523-542
Cacace, S., Camilli, F., Approximation of the value function for optimal control problems on stratified domains, (2023) SIAM Journal on Numerical Analysis, 61 (3), pp. 1172-1194
Cacace, S., Lai, A.C., Loreti, P., A dynamic programming approach for controlled fractional SIS models, (2023) Nonlinear Differ. Equ. Appl., 30 (20)
Cacace, S., Lai, A.C., Loreti, P., Optimal Contact Points for an Octopus Arm, (2022) SN Computer Science, 3 (6), 468
Cacace, S., Ferretti, R., Efficient implementation of characteristic-based schemes on unstructured triangular grids, (2022) Computational and Applied Mathematics, 41 (1), 19
Aquilanti, L., Cacace, S., Camilli, F., De Maio, R., A Mean Field Games Approach to Cluster Analysis, (2021) Applied Mathematics and Optimization, 84 (1), pp. 299-323
Cacace, S., Camilli, F., Goffi, A., A policy iteration method for mean field games, (2021) ESAIM - Control, Optimisation and Calculus of Variations, 27, art. no. 85
Aquilanti, L., Cacace, S., Camilli, F., Maio, R.D., A Mean Field Games model for finite mixtures of Bernoulli and Categorical distributions, (2021) Journal of Dynamics and Games, 8 (1), pp. 35-59
Cacace, S., Ferretti, R., Festa, A., Stochastic hybrid differential games and match race problems, (2020) Applied Mathematics and Computation, 372, art. no. 124966
Cacace, S., Lai, A.C., Loreti, P., Modeling and optimal control of an octopus tentacle, (2020) SIAM Journal on Control and Optimization, 58 (1), pp. 59-84
Cacace, S., Camilli, F., De Maio, R., Tosin, A., A measure theoretic approach to traffic flow optimisation on networks, (2019) European Journal of Applied Mathematics, 30 (6), pp. 1187-1209
Cacace, S., Camilli, F., Cesaroni, A., Marchi, C., An ergodic problem for mean field games: Qualitative properties and numerical simulations, (2018) Minimax Theory and its Applications, 3 (2), pp. 211-226
Cacace, S., Camilli, F., Corrias, L., A differential model for growing sandpiles on networks, (2018) SIAM Journal on Mathematical Analysis, 50 (3), pp. 2509-2535
Cacace, S., Cristiani, E., Ferretti, R., Blended numerical schemes for the advection equation and conservation laws, (2017) ESAIM - Mathematical Modelling and Numerical Analysis, 51 (3), pp. 997-1019
Cacace, S., Cristiani, E., Rocchi, L., A level set based method for fixing overhangs in 3D printing, (2017) Applied Mathematical Modelling, 44, pp. 446-455
Cacace, S., Camilli, F., Marchi, C., A numerical method for Mean Field Games on networks, (2017) ESAIM - Mathematical Modelling and Numerical Analysis, 51 (1), pp. 63-88
Cacace, S., Falcone, M., A dynamic domain decomposition for the eikonal-diffusion equation, (2016) Discrete and Continuous Dynamical Systems - Series S, 9 (1), pp. 109-123
Cacace, S., Camilli, F., A generalized Newton method for homogenization of Hamilton-Jacobi equations, (2016) SIAM Journal on Scientific Computing, 38 (6), pp. A3589-A3617
Cacace, S., Cristiani, E., Falcone, M., Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations, (2014) IFIP Advances in Information and Communication Technology, 443, pp. 74-84
Cacace, S., Cristiani, E., Falcone, M., Can local single-pass methods solve any stationary Hamilton-Jacobi-Bellman equation?, (2014) SIAM Journal on Scientific Computing, 36 (2), pp. A570-A587
Cacace, S., Chambolle, A., De Simone, A., Fedeli, L., Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations, (2013) ESAIM - Mathematical Modelling and Numerical Analysis, 47 (3), pp. 837-858
Cacace, S., Cristiani, E., Falcone, M., Picarelli, A., A patchy dynamic programming scheme for a class of Hamilton-Jacobi-Bellman equations, (2012) SIAM Journal on Scientific Computing, 34 (5), pp. A2625-A2649
Cacace, S., Chambolle, A., Monneau, R., A posteriori error estimates for the effective Hamiltonian of dislocation dynamics, (2012) Numerische Mathematik, 121 (2), pp. 281-335
Cacace, S., Garroni, A., A multi-phase transition model for dislocations with interfacial microstructure, (2009) Interfaces and Free Boundaries, 11 (2), pp. 291-316
Conference Papers
Cacace, S., Lai, A.C., Loreti, P., Constrained Reachability Problems for a Planar Manipulator, (2022) Lecture Notes in Electrical Engineering, 793, pp. 17-31
Cacace, S., Lai, A.C., Loreti, P., Multi-target optimal control problems for a tentacle-like soft manipulator, (2021) Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021, pp. 39-48
Cacace, S., Lai, A.C., Loreti, P., Optimal Reachability and Grasping for a Soft Manipulator, (2021) Lecture Notes in Electrical Engineering, 720, pp. 16-34
Cacace, S., Lai, A.C., Loreti, P., Optimal reachability with obstacle avoidance for hyper-redundant and soft manipulators, (2020) ICINCO 2020 - Proceedings of the 17th International Conference on Informatics in Control, Automation and Robotics, pp. 134-141
Cacace, S., Lai, A.C., Loreti, P., Control strategies for an octopus-like soft manipulator, (2019) ICINCO 2019 - Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics, 1, pp. 82-90
Cacace, S., Cristiani, E., Falcone, M., A local ordered upwind method for Hamilton-Jacobi and Isaacs equations, (2011) IFAC Proceedings Volumes (IFAC-PapersOnline), 44 (1 PART 1), pp. 6800-6805
Book Chapters
Cacace, S., Ferretti, R., Rafiei, Z., Computation of optimal trajectories for delay systems: An optimize-then-discretize strategy for general-purpose NLP solvers, (2018) Springer INdAM Series, 29, pp. 39-62
Cacace, S., Camilli, F., Finite Difference Methods for Mean Field Games Systems, (2018) Springer INdAM Series, 28, pp. 21-47
Preprints
Bartoli, L., Cacace, S., Cristiani, E., Ferretti, R., A macroscopic pedestrian model with variable maximal density, (2024) arXiv:2406.14649