Picture of Me at Yarmouth Lighthouse

Aaryn Tonita, B.Sc.

Department of physics and Astronomy

6224 Agricultural Rd.

Vancouver BC

V6T 1Z1



Office phone: 1-604-822-2095


Home Links References



These represent various books and articles that have helped me learn various things in my studies.



  1. Multi-Level Adaptive Solutions to Boundary-Value Problems. By Achi Brandt, the progenitor of modern multigrid techniques.
  2. A Multigrid Tutorial. An excellent book from which one can have working multigrid code as fast as one desires.

General Relativistic Initial Value Problem

  1. "A Study of Numerical Techniques for the Initial Value Problem of General Relativity." By M.W. Choptuik. My supervisor's Master's thesis.
  2. Three-dimensional initial data for the collision of two black holes. By Cook et al., describes three different methods for constructing initial data.
  3. "The initial values problem and dynamics." By James York, Jr. in Gravitational Radiation, edited by N. Deruelle and T. Piran. A little dated, but has everything one needs.


Gravitational Radiation

  1. Quasinormal modes of Schwarzschild black holes: Defined and calculated via Laplace transformation, by Nollert et al. Describes the quasinormal modes, as its name states.

Distorted Apparent Horizons

  1. Dynamics of black hole apparent horizons, by Anninos et al. Here they produce black holes and distort the apparent horizon using gravitational waves.
  2. Initial data for general relativity containing a marginally outer trapped torus, by S. Husa. Here is produced a marginally trapped surface in the shape of a torus. Concludes that it will be surrounded by a spherical apparent horizon.
  3. Event and apparent horizon finders for 3+1 Numerical Relativity, by J Thornburg. A review article, originally invited for living reviews. Documents some of the properties as well.
  4. Generic tracking of multiple apparent horizons with level flow, by Shoemaker et al. An apparent horizon finder which will find global apparent horizons starting from a somewhat arbitrary guess.
My work is funded by NSERC/CRSNG.