Rate My Professor Tommaso Buvoli

Buvoli's research centers on the development, analysis, and application of novel numerical methods for solving complex, high-dimensional differential equations arising in multiscale dynamical systems, with applications to phenomena like weather modeling, combustion, and plasmas. His interests include numerical analysis, time integration methods, exponential integrators, Runge-Kutta methods, partitioned differential equations, Parareal methods, polynomial-based methods, and IMEX methods. Notable publications include 'A Class of Exponential Integrators Based on Spectral Deferred Correction' (SIAM Journal on Scientific Computing, 2020), 'Constructing New Time Integrators Using Interpolating Polynomials' with M. Tokman (SIAM Journal on Scientific Computing, 2019), 'Exponential Polynomial Block Methods' (SIAM Journal on Scientific Computing, 2021), 'Additive Polynomial Time Integrators, Part I: Framework and Fully-Implicit-Explicit (FIMEX) Collocation Methods' with B.S. Southworth (SIAM Journal on Scientific Computing, 2023), and 'Exponential Runge-Kutta Parareal for Non-Diffusive Equations' with M.L. Minion (Journal of Computational Physics, 2024). As principal investigator, he received NSF grant OIA-2327484 for $212,174 starting in 2024, and served as co-PI on NSF-DMS-2012875 for $250,000 in 2020. At Tulane, Buvoli teaches courses such as Scientific Computing II and III, and Ordinary Differential Equations, supervises students, co-organizes the Mathematics Colloquium and Applied and Computational Mathematics Seminar, and serves on the Undergraduate Studies Committee.