Numerical Techniques and Links

Besides my own stuff, under codes, here are a number of links to simple concepts and to data/source repositories, including the all-important netlib.

Numerical GR

Numerical Analysis (including extensive comment on well known texts)

Copper Mountain conferences

Code and Information Repositories (please use the appropriate Continent)

• netlib in Germany (FTP site) or in Norway or in the US
• ACM Transactions on Mathematical Software (TOMS)
• CFD Review
• The CFD codes list regularly posted to sci.physics.computational.fluid-dynamics: in Europe or the UK, or here or here in the US
• The CFD books list regularly posted to s.p.c.fluid-dynamics, in Europe or in the US
• The CFD-related numerical methods list in Europe, in Australia, or here or here in the US
• MGNet from Europe Japan The US (orig) The US (mirror)
• CFD Resources Online
• CFD Home Pages
• CCSE, P Colella's institute
• E G Puckett's page
• NA Net (numerical analysis net, part of netlib)
• GAMS, the Guide to Available Mathematical Software
• Subroutine On Demand, or sparse BLAS service
• The Laboratory for Computational Astrophysics home page
• The NCSA General Relativity Group home page
• High Performance Fortran Applications (CRPC and NPAC collection)
• PLAPACK for parallel solvers
• Ajah Shah's free C index
• MIT FFT repository
• Fortran 90 information
  • Free Fortran Software
  • Portland Group
  • Pacific-Sierra Research free Linux Fortran 90 compiler
  • OpenGL for F90
  • GNU/Linux Fortran page
• C++ Programming for Scientists, a tutorial
• comp.parallel Home Page
• The World's Most Powerful Computing Centers
• the CFD Jobs Page

Linux

• Linux Links

Basic techniques

• Colella and Puckett's lectures on modern methods for fluid computation
  • The Piecewise Parabolic Method (PPM)
• Riemann Solvers
• Roman Hatzky PhD thesis with Ilin's method for advection-diffusion equations
• A summary of N-body methods by Amara Graps
• U Texas Advanced Computational Engineering Lab: 3-D flows on adaptive, unstructured grids; grid generation, parallelism
• Finite Element Mesh Generation
  • MegaCads, a public structured generator with smoothing
• The TU Muenchen Multigrid Library
• CM99 parallel multigrid tutorial (slides)
• Thesis of Paul M. de Zeeuw, including matrix dependent prolongation
  • he also has the MGD9V code
• MUDPACK parallel multigrid package
• Brief Multigrid Bibliography
• ETNA Copper Mountain papers
• The Chalmers University FEMLAB, a 2D elliptical solver package including mesh generation with examples
• Patrick Hanley's shareware pseudospectral compressible CFD code
• Ned Birdsall's particle codes
• Automatic Differentiation
  • Argonne Lab's Computational Differentiation Project
  • ADIFOR, Automatic Differentiation of Fortran
• A good review on generating Gaussian random numbers
• Numerical Recipes (also in Fortran 90)

Basic solvers

• Conjugate Gradients Without All The Pain
• Iterative Methods for Sparse Linear Systems, by Yousef Saad
• Also see Prof Saad's NATO 96 Tutorial (recommended)
• Henk A. Van der Vorst's Lecture notes on iterative methods, with a lot of detail on CG, GMRES, and BiCG methods

--> Back to the Physics and Fusion Home Page