Low-rank and randomized enhancements of the ★-approach for solving differential equations

• Date: 16. 10. 2025
• Time: 14:00 - 15:30
• Address:
  Sokolovská 83, Praha
• Room: K3
• Speaker: Alberto Bucci

In this talk, I will present new randomized and low-rank techniques developed within the framework of the ★-approach, aimed at efficiently addressing the numerical solution of differential equations. The key idea is to exploit the inherent low-rank structure that often emerges in the discretization of such problems and to combine it with randomized methods to improve computational efficiency and scalability. I will begin by introducing the basic formulation of the underlying problem and the fundamentals of low-rank approximation in modern numerical linear algebra. Then, I will illustrate how these tools can be integrated into the ★-approach and discuss some of the results obtained in my recent research, including applications to nuclear magnetic resonance problems in chemistry.