Cecilia Pagliantini

My research focuses on the numerical approximation of time-dependent differential equations. My research interests include:

• Structure-preserving (or geometric) spatial approximation and numerical time integration.

• Model order reduction of large-scale dynamical systems; reduced basis methods for Hamiltonian systems and Poisson flows; nonlinear model order reduction and adaptive low-rank approximation of high-dimensional problems.

• Spectral discretizations and efficient solvers for fluid and kinetic plasma models.

• Numerical methods for transport phenomena based on finite element exterior calculus and discrete differential forms.

• Data-driven numerical methods for the state and parameter estimation in inverse time-dependent problems.

My work involves applications in plasma physics, fluid dynamics, electromagnetism and mechanics.