Research Interests

• numerical methods for optimisation and optimal control
• semi-Lagrangian schemes for partial differential equations
• inverse problems and imaging
• mathematical modelling of natural and industrial processes

Publications

Peer-reviewed papers

• A. Oliviero, S. Cacace, G. Visconti (2026). Agent-Based Optimal Control for Image Processing. Applied Mathematical Modelling, 158, 116967. full text
• S. Cacace, A. Oliviero, M. Pezzella (2026). Modified Patankar Semi-Lagrangian Scheme for the Optimal Control of Production–Destruction systems. Journal of Scientific Computing, 106(2), 43. full text
• S. Cacace, A. Oliviero (2024). Reliable optimal controls for SEIR models in epidemiology. Mathematics and Computers in Simulation, 223, 523–542. full text

Preprints

• D. Kalise, A. Oliviero, D. Ruiz-Balet (2024). A Total Variation Flow Scheme for Ergodic Mean Field Games. arXiv:2411.07331

Funding

Principal Investigator

• 2025 — Numerical methods for optimal control and transport problems, Sapienza University of Rome
• 2023 — Efficient numerical methods for the control of epidemiological models, Sapienza University of Rome

Participant

• 2025 — Metodi avanzati per problemi di Mean Field Games ed applicazioni, INdAM-GNCS. PI: Luca Saluzzi
• 2024 — Advanced Computational Methods for Real-World Applications, Sapienza University of Rome. PI: Giuseppe Visconti
• 2024 — Efficient numerical methods for Hamilton–Jacobi equations, INdAM-GNCS. PI: Alessandro Alla
• 2023 — Modeling, numerical treatment of hyperbolic equations and optimal control problems, Sapienza University of Rome. PI: Giuseppe Visconti