Below you will find some lecture notes I’ve compiled over the years although nowadays the notes can be found on the website of the various schools.
Lectures on gravity at Schools (chronological order, till 2011)
- Introduction to General Relativity: GW-Astronomy IMPRS School (Erkner, 2011; pdf)
- Introduction to Numerical Relativity: GW-Astronomy IMPRS School (Erkner, 2010; pdf)
- Introduction to Relativistic Hydrodynamics: NewCompStar Winter School (Caen, 2010; pdf)
- Introduction to Numerical Relativity: ECT* PhD Training School (Trento, 2007; pdf)
- Gravitational waves from periodic sources: INFN School (Frascati, 2004; pdf)
- Gravitational collapse to black holes: INFN School (Frascati, 2004; pdf)
- Geodesic Deviation and Weak-Field Solutions: Virgo School (Cascina, 2004; pdf)
- GWs from perturbed black holes and neutron stars: ICTP Astroparticle School (Trieste, 2002; pdf); gr-qc:0302025
Lectures and Tutorials on numerical methods
- Introduction to Finite-Difference Methods: NewCompStar Winter School (Caen, 2010; pdf)
- Finite-Difference Methods for the Solution of Hyperbolic and Parabolic PDEs (pdf)
- Finite-Volume Methods for the Solution of Hyperbolic PDEs (pdf)
Codes on numerical methods
- An exact Riemann solver for relativistic MHD (Giacomazzo and Rezzolla, 2006) (tarball)
- A tutorial Fortran90 code for the solution of hyperbolic PDEs using finite-difference methods (tarball).
- A tutorial Fortran90 code for the solution of the hydrodynamic equations using finite-volume methods; includes an exact Riemann solver for relativistic HD (tarball).