Federico Pichi’s personal website

Postdoctoral researcher at EPFL (École Polytechnique Fédérale de Lausanne) in the MCSS group of Prof. Jan S. Hesthaven.

Bio

Ph.D. in Mathematical Analysis, Modelling and Applications
Thesis: Reduced order models for parametric bifurcation problems in nonlinear PDEs
Advisor : Prof. Gianluigi Rozza
Co-Advisor : Prof. Francesco Ballarin

Research interests

• Projection-based and data-driven reduced order models in computational science and engineering.
• Scientific machine learning approaches based on feedforward and graph neural network for complexity reduction.
• Numerical analysis of bifurcating phenomena held by parametrised non-linear partial differential equations, with applications to:
  • Continuum Mechanics – Hyperelastic equations and Von Kármán system
  • Quantum Mechanics – Bose-Einstein condensates
  • Fluid Dynamics – Navier-Stokes system and Optimal Control problems
  • Multi-physics – Fluid-Structure Interaction problems