PhD student

Georgios Vretinaris

Interests#

Dynamical low-rank approximation
Tree tensor networks
Kinetic problems
General relativity

Integration of the Vlasov–Poisson (2x2v) system using the fixed-rank TTN integrator.

$$ \begin{aligned} \partial_{t}f(t,x,v) + v\cdot\nabla_{x}f(t,x,v) - E(f)(x)\cdot\nabla_{v}f(t,x,v) &= 0 \\ \nabla\cdot E(f)(x) = -\int f(t,x,v)\,\mathrm{d}v + 1, \qquad \nabla\times E(f)(x) &= 0 \end{aligned} $$

Preprints and publications#

Stamatis Vretinaris, Georgios Vretinaris, Christos Mermigkas, Minas Karamanis, Nikolaos Stergioulas, Robust and fast parameter estimation for gravitational waves from binary neutron star merger remnants, accepted.
Georgios Vretinaris, A low-rank BUG method for Sylvester-type equations, submitted.

Teaching#

Office hours: open door policy.

SS 2026: teaching assistant for Numerics of Instationary Partial Differential Equations (Prof. Lubich)
WS 2025/26: preparatory course Introduction to Programming with Julia
WS 2025/26: teaching assistant for Numerics of Stationary Partial Differential Equations (Prof. Lubich)
SS 2025: teaching assistant for Algorithms in Numerical Mathematics (Dr. Shi, Dr. Le Hénaff)