Research
Research
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Research interests:
Research interests:
Nonlocal Conservation Laws and Applications
Mathematical and Numerical Analysis of PDEs
Traffic flow modeling
Convergence of numerical solutions
Finite volume numerical schemes
My research focuses on partial differential equations and their applications to real-world problems. My research aims to combine rigorous mathematical analysis with numerical methods to study complex systems, especially traffic flow models. I am motivated by problems that connect theory with practical impact and that can contribute, even indirectly, to the improvement of society.
Publications:
Publications:
I. Ciaramaglia, P. Goatin, and G. Puppo. Non-local traffic flow models with time delay: well-posedness and numerical approximation. Discrete and Continuous Dynamical Systems - B, 2025, 30(3): 874-907.
I. Ciaramaglia, P. Goatin, and G. Puppo. A multi-class nonlocal macroscopic model with time delay for mixed autonomous / human-driven traffic. Communications in Mathematical Sciences, accepted for publication.
"We must not forget that when radium was discovered no one knew that it would prove useful in hospitals. The work was one of pure science. And this is a proof that scientific work must not be considered from the point of view of the direct usefulness of it. It must be done for itself, for the beauty of science, and then there is always the chance that a scientific discovery may become, like the radium, a benefit to humanity".
Marie Skłodowska-Curie (1921)
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