Welcome to the personal page of
Federico Maria Guercilena

I am an astrophysicist, computational physicist and relativist. Since January 2014 I am a Ph.D. student in the relativistc astrophysics/numerical relativity group of professor Luciano Rezzolla at the Institut für Theoretische Physik, Goethe-Universität, in Frankfurt, Germany.

Research

Numerical schemes for relativistic hydrodynamics

The solution of the Euler equations of relativistic hydrodynamics requires specialized methods in order to preserve the accuracy of the solution while dealing with shock waves and other problematic features. Efficiency and performance are other important aspects of the problem. I'm particularly interested in flux-limiting schemes and discontinuous Galerkin methods.

Formulations of Einstein's equations and numerical schemes

The Einstein's field equations of general relativity need to be cast in hyperbolic form to be numerically solved. I'm interested in particular in the Z4 and Generalized Harmonic formulations, as well as in accurate and efficient numerical schemes for their solutions.

post-Newtonian modelling of relativistic dynamics

The dynamics of relativistic two-body systems and the associated generation of gravitational waves can be approximated to great precision with post-Newtonian methods. I'm interested in the comparison and calibration of such models, especially the Effective-One-Body model, against numerical relativity results.

Publications and CV

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