# Numerical Analysis

- 1
- Domain Decomposition Organization
- Page http://www.ddm.org/
- Bergen, Norway. Information about the annual international Domain Decomposition meeting, links to people working in the field and information about books and other material related to Domain Decomposition.

- 2
- Foundations of Computational Mathematics (FoCM)
- Page http://www.focm.net/
- A nonprofit organization that supports and promotes research on foundations of computational mathematics.

- 3
- Newton's Method and High-order Iterations
- Page http://numbers.computation.free.fr/Constants/Algorithms/newton.html
- Newton's iteration : History, convergence results, Halley's iteration and high order new iterations. A web text in HTML and PostScript.

- 4
- Numerical Methods
- Page http://tonic.physics.sunysb.edu/docs/num_meth.html
- A guide to on-line resources.

- 5
- Orthogonal Polynomials and Special Functions
- Page http://math.nist.gov/opsf/
- SIAM activity group. Newsletter, conferences, bibliography, reports, history, jobs, other resources.

- 6
- SQRT - Algorithms for Calculating the Square Root
- Page http://www.pedrofreire.com/sqrt/
- Describing two major algorithms: one efficient in terms of size, the other in terms of speed. English/Portuguese.

- 7
- Solve Equations by Successive Approximations
- Page http://members.aceweb.com/patrussell/approximations/introduction.htm
- Approximation formulae to compute real and complex solutions of equations in a spreadsheet.

- 8
- Tomasz Plewa's Numerical Analysis Directory
- Page http://www.labyrinth.net.au/~ctrans/tomasz.html
- Directory of sites containing software for numerical analysis (mainly in Fortran).

- 9
- A Short Course on Approximation Theory
- Page http://personal.bgsu.edu/~carother/Approx.html
- Lecture notes for a graduate course by Neal Carothers, Bowling Green State University. (DVI,PS)

- 10
- A View from the Back of the Envelope
- Page http://www.vendian.org/envelope/
- About approximation and the fun it enables. Includes examples, exercises, and links to help grasp concepts such as measurement, scale and magnitude. Sections include simplifying numbers, exponential notation, Fermi problems, using your body as a ruler, and other ways to visualize size and scale.

- 11
- Approximation Theory
- Page http://www.damtp.cam.ac.uk/user/na/PartIIIat/at.html
- Lecture notes for Part III of the Mathematical Tripos by A. Shadrin, DAMTP, University of Cambridge. (PS)

- 12
- Approximation Theory
- Page http://pages.cs.wisc.edu/~deboor/ma887.html
- Notes for courses given by Carl de Boor, Madison. (PS)

- 13
- History of Approximation Theory
- Page http://www.math.technion.ac.il/hat/
- Articles and web resources developed by Allan Pinkus and Carl de Boor.

- 14
- People in Approximation Theory
- Page http://pages.cs.wisc.edu/~amos/atpeople.html
- Amos Ron's list of links.

- 15
- Autodiff.org
- Page http://www.autodiff.org/
- Overview, resources and examples on Automatic Differentiation, as well as and index of conferences and publications.

- 16
- COSY Infinity
- Page http://www.bt.pa.msu.edu/index_cosy.htm
- A system for the use of automatic differentiation and Taylor Models in Fortran and C++, developed by the Michigan State University, USA. While site contains links to manual and description, the tool is only available through registration.

- 17
- CppAD
- Page http://www.coin-or.org/CppAD/
- A Package for Differentiation of C++ Algorithms developed by the COmputational INfrastructure for Operations Research (COIN-OR) project. Windows and Linux Binaries are available for download as well as documentation and source code.

- 18
- FastOpt
- Page http://www.fastopt.de/
- Company provides tools for Automatic Differentiation and their application in Geoscience, Economics, Engineering and Mathematics. Home of the commercial tools TAF (Fortran) and TAC++ (C++).

- 19
- INTLAB
- Page http://www.ti3.tu-harburg.de/rump/intlab/
- INTerval LABoratory is the Matlab toolbox for self-validating algorithms, developed by the Hamburg University of Technology, Germany. Along with examples and related publications, the source code can be downloaded freely for private and academic use. Commercial applications require a license.

- 20
- The Tangent linear and Adjoint Model Compiler (TAMC)
- Page http://autodiff.com/tamc/
- A source-to-source translator that generates Fortran routines for computation of the first-order derivatives out of Fortran routines. Site contains documentation and references to publications. Usage is restricted to non-commercial and educational applications remotely via email.