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Net resources for numerical methods

• Tutorials and other documents. Select this to obtain a list of various documents of a tutorial or pedagogical nature concerning numerical methods.

• Technical report sites. This leads to a list of sites that carry technical reports about numerical analysis and related areas.

• Software sites. This is a link to various sites that contain several numerical analysis software packages.

• Software packages. Here are links to various and sundry interesting packages available in either the public domain or under the GPL agreement.

Tutorials and other documents

Afternotes on Numerical Analysis

A series of lectures by G. W. Stewart at the Univ. of Maryland on elementary numerical analysis. They are in PostScript source code.
[ftp://thales.cs.umd.edu/pub/afternotes/]

Templates for the Solution of Linear Systems

A tutorial on how to construct iterative methods for the solution of linear systems. The algorithms are presented as templates in a schematic language, which can then be translated into the language of your choice. This has already been done for some languages, including Fortran, and the code is also available at this site. The document is in PostScript.
[ftp://netlib2.cs.utk.edu/linalg/]

Samizdat Press

The goal of these folks is to provide for the free distribution of books, lecture notes, and software. Their offerings include tutorials on seismic imaging, geophsyical inverse theory, theoretical seismology, and continuum mechanics.
[http://landau.mines.edu/~samizdat/]

An Introduction to the Conjugate Gradient Method Without the Agonizing Pain

This is an intuitive introduction to the conjugate gradient method with a minimum of jargon and a maximum of physical understanding. It is available as PostScript and the report is in a file named CMU-CS-94-125.ps.
[ftp://reports.adm.cs.cmu.edu/usr0/anon/1994/]

Jon Claerbout

Claerbout has made available PostScript versions of various course notes and books he's written. The titles available are Three-Dimensional Filtering: Evironmental Sound Imaging Enhancement (160 pp.), Earth Sounding Analysis: Processing vs. Inversion (100 pp.), and Imaging the Earth's Interior (300 pp.).
[http://sepwww.stanford.edu/sep/jon/]

Computational Science Education Project (CSEP)

A project to develop online documentation in all the various areas of computational science. A first document, "Introduction to Computational Science", is available in both HTML and PostScript form.
[http://csep1.phy.ornl.gov/csep.html]

Clemson MODULES

A series of teaching modules, written using literate programming techniques with the FWEB package, that are suitable for beginning computer science or numerical analysis students. Example modules include one on floating point arithmetic and another on computing pi.
[http://www.cs.clemson.edu/CSE/MODULES/]

HPSC Project

The High Performance Scientific Computing Project at the University of Colorado has developed instructional material and laboratory facilities for a undergraduate course in HPSC and scientific visualization. Their document collection includes a twelve-chapter coursebook as well as numerous separate tutorials on topics ranging from Matlab to make to Fortran to vi to AVS.
[ftp://ftp.cs.colorado.edu/pub/HPSC/README.html]

Technical report sites:

• This is a link to a list of sites that contain technical reports and preprints pertaining to numerical methods and analyis.

• Area 4 Working Notes. These reports are a result of a collaboration between the Australian National Univ. (ANU) and Fujitsu to develop a program library for the VPP500 massively parallel computer series. Topics include FFTs and random number generators.

• The Numerical Analysis Group at the University of Chemnitz in Germany has a home page with information about their publications and technical reports.

• SISTA publications. The Signals, Identification, System Theory and Automation research group at the Katholieke Universiteit Lueven in Belgium has an archive site. The group keeps a list of report titles available for perusal.

• The University of Toronto Dept. of Computer Science has a repository of numerical analysis reports chiefly concerned with the Runge-Kutta method for solving ODEs. They have available an index of reports for inspection.

Software sites:

• The netlib site allows convenient access to the huge amount of numerical analysis software collected and stored there.

• The statlib site contains quite of bit of software pertaining to statistics and the applications thereof.

• NCAR's Mathematics and Statistics Libraries. This is a link to pointers to the various software libraries available at NCAR. They range from public domain packages like LAPACK to commercially available products like IMSL.

• Numerical analysis source page. This page contains pointers to software, preprints and technical reports in the area of numerical analysis.

• Jonas Larsson's CFD Resources Online contains links to software (and other things) relevant to computational fluid dynamics.

• Here is a site containing links to numerous FFT packages.

• Matlab software and documentation

• Mathematica FTP site. This site contains information about Mathematica as well as most of the ancillary packages that are available for it.

• Tomasz Plewa maintains a list of Computational Fluid Dynamics codes, both public domain and commercial, that are available for various applications. There is a mirror site in the USA for this.

Software packages:

• The diffpack project aims to develop a fully object-oriented framework for the solution of partial differential equations. This site contains the software (for which you'll need a C++ compiler), online documentation, and many PostScript tutorials and research reports.

• Scilab is an interactive, interpreted numerical analysis package that is an extension of MATLAB and uses the MATLAB syntax. It aims to use this syntax for more complex objects than numerical matrices and also to be an open interface to numerical libraries. Link to the Scilab home directory to obtain it either in source code form or as one of several binaries available for various architectures. There are PostScript files in each of the packages containing an "Introduction to Scilab" (71 pp.), a "Scilab: The Signal Processing Toolbox" manual (260 pp.), and a "Scilab 2.0 on Line Doc Library Reference Manual" (272 pp.).

• Octave. Octave is a high-level interactive language for numerical computations. This site contains the sourcecode (2.0 Mb tarred and gzipped) and documentation (460 kb gzipped PostsScript) for Octave, both of which are available here under the terms of the GNU Public License. There is also a README with more detailed information.

• The FElt System. The FElt system is a package designed to teach introductory level Finite ELemenT analysis. Both the sourcecode (360 kb tarred and gzipped) and documentation (320 kb gzipped PostScript) are available here under the terms of the GNU General Public License. There is also a FAQ file.

• MATCALC is an interactive matrix calculation package designed for easy solution of linear algebra and matrix problems using real or complex numbers. The user manual (235 Kb TeX) is available as is an information file detailing how to obtain the rest of the package.

• RLaB system. RLaB is numerical software that combines matrix math tools with a stable data plotting facility that allows you to experiment with matrix math in an interactive environment. It is available here under the terms of the GNU General Public License.

• Sparse Matrix Manipulation System. The SMMS is a collection of directly executable commands to process (e.g. invert, visualize, factor, etc.) sparse matrices. Both the source code (495 Kb tarred and compressed) and the manual (535 Kb PostScript) are available as is a README file with further information.

• Tela (Tensor Language). This is a numerical computation environment targeted for numerical simulation pre- and post-processing work. There is a README file with more information.

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