Some relevant GR references
- Review article on black hole critical phenomena by Carsten Gundlach.
- Lecture notes for an introductory general relativity course by Sean Carroll.
- Review article on black holes by Paul Townsend.
- Brief, but nice introduction to the Einstein equations by John Baez.
- Lecture notes by Matt Choptuik on the 3+1 ADM decomposition of the Einstein equations. This approach is the standard starting point for most numerical relativists.
- Finite differencing techniques
- RNPL (Rapid Numerical Prototyping Language) is a language for expressing time-dependent systems of PDEs using finite-difference techniques. Basic information with examples is in Robert Marsa's thesis. Supplementary information is here: //laplace.physics.ubc.ca/~matt/Rnpl/index.html.
- Seris a visualization program built by Matt Choptuik to analyze 1-dimensional time dependent data. Documentation and information on its use:
- Choptuik's overview: laplace.physics.ubc.ca/~matt/Software/ser/intro.html
- Shoemaker's usage notes: godel.ph.utexas.edu/Members/deirdre/ser_doc.html
- Liebling's usage notes: godel.ph.utexas.edu/Members/steve/research/tools.html#SERHELP.
- A java variant of ser is jser. Basic information on it is at intro.
- Some FORTRANtutorials
- A basic Fortran 77 introduction: personal.cfw.com/~terry2/tutorial/
- A basic Fortran 90 introduction: www.arc.unm.edu/EducationTraining/IntroToFortran90Programming.html
- The SGI reference manual on Fortran 77
- Some introductions to UNIX
- BYU EE's tutorial: www.ee.byu.edu/support/computer_tutorial/
- Matt Choptuik's introduction for a UBC computational physics class (also as postscript).
- Some basic information with additional references and links.
- Beowulf/Linux clusters
- NPACI's cluster page, Rocks
- BYU's Origin2000
- Parallel programming
- Tutorial/introduction to parallel programming from the Maui High Peformance Computing Center
- Boston University's repository of information about the Origin2000 with links to MPI and parallel computing.
- Using the T90 at SDSC (San Diego Supercomputer Center).
- Advanced Computing Center at UT Austin.
- Beowulf/Linux clusters
My writeups and possible projects
- Axisymmetric gravitational collapse of rotating scalar fields [pdf version].
- Axisymmetric gravitational collapse of non-rotating charged scalar fields (gravitating electromagnetism and scalar fields) [pdf version].
- Axisymmetric gravitational collapse of fluids.
- Gravitational critical behavior in Einstein-Yang-Mills theories
- Gravitational critical behavior in Einstein-Yang-Mills-Higgs theories (gravitating monopoles, dyons, etc)
- Instability of black strings