Computational Mathematics E-Bibliography

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R. Robinson (9/99, 1/01)

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1. Software

Computer algebra systems:

Computer Algebra Systems (CAS), which became widely available in the 1990s revolutionized scientific computing. The two leading commercial brands are now Maple and Mathematica, but there are other popular commercial brands too. CAS tend to be expensive, but are usually available in less expensive student versions. Some are also available for free. Typically CAS run in an interpreted GUI, allow allow functional programing in a special programming language. Usually they have excellent graphics capabilities. Interestingly, each system seems to have different strengths and weaknesses, so it is reasonable to to learn to use several.
 

Maple

http://www.maplesoft.com/ Maple. The official home page.

http://www.indiana.edu/~statmath/math/maple/  Maple Links (Indiana University).

http://www-math.math.rwth-aachen.de/MapleAnswers/ Maple Users group

Mathematica

http://www.wolfram.com/ Wolfram Research, makers of Mathematica.

Other

http://sal.kachinatech.com/A/1/index.shtml Index of Computer Algebra Systems.

http://www.mupad.de/EDU/gallery.shtml  Mupad is a  CAS program from Germany. This the official home page. Free"light" version for Windows.

http://www-gap.dcs.st-andrews.ac.uk/~gap GAP (Groups Algebra and Programming). Stresses objects from abstract algebraic systems. Available for Unix and Windows. Free..

http://www.mathstat.com.au/products/mathematics/macsyma.htm Macsyma. Once the bestselling CAS.

http://www.ma.utexas.edu/users/wfs/maxima.html Maxima. Based on the original LISP code for Macsyma. Now released under the GNU public license. Free Windows and Unix versions.

http://www.ti.com/calc/docs/derive.htm Early PC CAS. Now part of Texas Instruments. & inside TI calculators.

http://www.parigp-home.de/  PARI-GP is a software package for computer-aided number theory GPL.

http://www.math.uiuc.edu/Macaulay2/  Macaulay 2 supports research in algebraic geometry and commutative algebra. Free.PC, Linux, Unix.

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Numerical computing environments:

Similar to CAS, but (usually) without the capability to do symbolic algebra or arbitrary precision arithmetic. Instead these use the computer's native double precision floating point arithmetic and concentrate on speed. Like CAS there is an interpreted environment with functional programming and excellent graphics. These systems often rival traditional programming languages for speed of execution, but since they offer many higher level mathematical functions, have a much faster development time.
 

MATLAB

http://www.mathworks.com/ MATLAB. The official home page.

http://gwis2.circ.gwu.edu/Master%20Outline Master Outline of Matlab.

Other

http://www.omatrix.com/ O-Matrix. Runs it's own language and MATLAB scripts. Has Free demonstration version.

http://www.mathsoft.com/ MathCad Commercial environment with unique GUI.

http://www.ni.com/hiq/ HiQ: an interactive problem-solving environment to analyze, visualize, and document         science and engineering problems. Free educational version.

http://www.octave.org/ GNU Octave:  high-level language for numerical computations. Mostly compatible with Matlab. Free.

Traditional Programming Languages:

Fortran

The old favorite for scientific programming is Fortran 77. Fortran 90 was developed recently to incorporate some modern amenities like pointers into Fortran, but it has been slow to catch on. Because of its simple syntax, Fortran 77 is still more easily optimized by compilers and there are still millions of lines of FORTRAN 77 code in regular use.
 
• http://www.uni-comp.com/imagine1/ The F programming language (a version of Fortran). Free version for Windows.
• http://www.fortran.com/fortran/free.html Links to free Fortran resources.
• http://www.lahey.com/ Lahey Fortran.Commercial PC Fortran.
• http://www.gnu.org/ Source for GNU Fortran G77 (for Unix).
•  http://kkourakis.tripod.com GNU Fortran G77 for Win32 (Free). Also get the SLATEC Mathematical Library (see also Chris Stoughton's SLATEC documentation) http://www-sdss.fnal.gov:8000/~stoughto/slatec/slatec.home.html.
• http://www.isi.edu/~iko/pl/hw3_fortran.html FORTRAN Page, In-Young Ko CSCI Dept., (University of Southern California), August 30, 1996.
• http://www.liv.ac.uk/HPC/F90page.html  Fortran 90 Courses Home Page (U. Liverpool).

C/C++

The favorite language(s) of computer science and commercial programming. C is as close to machine language as you can get short of assembly language. C++ is a strange blend of C's machine level features and modern object oriented structures, but it has become extremely popular since the mid 1980's.
 
• http://www.gnu.org/ Large collection of free software (with Unix emphasis, but with PC versions available) DJGPP is the GNU g++ (i.e., C++) compiler (and more).
• http://www.borland.com/bcppbuilder/freecompiler/ Borland C++ compiler. Free version.
• http://www.delorie.com/djgpp/ DJGPP Version of g++ for PCs (DOS based). Free.


Java

Introduced by SUN Microsystems in the mid 1980s, Java has become exceedingly popular, especially for Web based applications (applets). It combines the modern ideas of object orientation (like C++) and compilation to a byte code for truly machine independent execution. An interpreted version of Java (very much watered down) is Java Script, which can used to activate web pages.
 

• http://www.javasoft.com/ The home of Java by its inventors. JDK for various platforms can be downloaded here. Free
• http://decafe.hypermart.net/ Decafe java de-compiler (free trial version).
• http://java.sun.com/docs/books/tutorial/index.html A basic introduction to Java from SUN.
• http://www.eckelobjects.com/javabook.htmlThinking in Java, e-book by Bruce Eckels.
• http://math.nist.gov/javanumerics NIST java numerics page.
• http://java.sun.com/people/jag/FP.html Java Numerics. Discussion with links.
• http://www.stats.ox.ac.uk/~etheridg/finmath/finan12.pdf Making sense of Java. A critical evaluation.

U-basic

This interpreted language offers the classic basic interface (like the old IBM basic) with modern features like high precision arithmetic. It was written by mathematicians at Waseda University in Japan.
 
• http://simtelnet.is.co.za/msdos/ubasic.htmlFree.
• http://www.math.utk.edu/~husch/401-96/ubasic.html, Information
• http://www.bookcase.com/library/software/msdos.devel.lang.ubasic.htmltutorial.
• http://archives.math.utk.edu/software/msdos/number.theory/ubasic/.html alternative download.

Other languages

 
• J  http://www.jsoftware.com/  J is an array oriented, high level, high performance, general purpose compiled programming language by author of APL. Commercial with free version.
• Perl  http://www.perl.com/pub  This is a high level interpreted language by Larry Wall. It is frequently used for CGI scripting. Available free for PC and other platforms. Description and links: http://www.engin.umd.umich.edu/CIS/course.des/cis400/perl/perl.html
• Python http://www.python.org/ An interpreted, interactive, object oriented programming language that compiles to a machine independent byte code (like Java). Good for scripting interactions between different applications. Free.
• Prolog http://lml.bas.bg/~dobrev/information.html Prolog is the language of "Logic Programming" a completely different concept from functional programming. Strawberry Prolog for windows is an implementation from Bulgaria, Free.
• Pascal http://www.freepascal.org/Pascal was designed to be a teaching language, but became popular in the 1980s for scientific programming and computer science as well.  Free Pascal for DOS and Windows.
• TurboPascal http://community.borland.com/article/0,1410,20803,00.html This is a free old version of the classic from Borland.
• TCL/Tk http://dev.scriptics.com/software/tcltk  Tcl (Tool Command Language) Perl type language with Tk, a graphical user interface. Free. See also http://www.math.smith.edu/~ahawthor/tickle/
•  Lisp http://www.xanalys.com/software_tools/products/  Free implementation of Common Lisp.

Miscellaneous Languages and compilers

• http://www.bookcase.com/library/software/msdos.devel.lang.html A long list of programming  languages with links to get versions of them.
• http://www.codewarrior.com/ This company sells various inexpensive high quality compilers (C++, Java) including learning versions. Commercial.
• http://cui.unige.ch/eao/www/Visual/  Links on the idea visual programming (including MS Visual Basic, C++ and J++).
• http://www.borland.com/ Commercial C++  and Java development environments.

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Other relevant software environments:

Excel

Spreadsheets are, of course, an obvious choice for data analysis, but they can also be used effectively to implement some of the classic algorithms from numerical analysis.

• http://cweb.citu.lu.se/~nicklas/heatcond/numeric.htm Numerical calculations in Excel.
• http://www.phys.unm.edu/~finley/P160/HW/ExcelDrag.html Runge-Kutta algorithm in Excel.
• http://www.hallogram.com/mathworks/excellink/ Excellink combines Excel with MATLAB.

Statistical analysis software

These packages are for statisticians what Mathaematica is for a mathematician.
 
• http://www.minitab.com/ Statistical analysis environment for the PC. Free demo version.
• http://www.sas.com/ SAS statistical analysis package. Available on gwis2.
• http://www.spssscience.com/ Statistical analysis package

Numerical software

These software packages implement various numerical and combinatorial algorithms. They can be used in your programs.
 
• http://performance.netlib.org/ Netlib is a collection of mathematical software, papers, and databases. Maintained by Oak Ridge National Laboratory (ORNL).
• http://www.netlib.org/lapack/ LAPACK is the successor of the original linear algebra packages EISPAK and LINPAK, which were instrumental in the creation of MATLAB.
• http://gams.nist.gov/ NIST's GAMS (Guide to Available Mathematical Software).
• http://www.nhse.org/ National High Performance Software Exchange.
• http://www.cs.sunysb.edu/~algorith Stony Brook Algorithm Repository, Steven S. Skiena
• http://www.nag.co.uk/ The NAG subroutine library from England (commercial).
• http://www.vni.com/ The IMSL subroutine library (commercial).

Operating Systems and User Environments

Unix

Unix is the operating system for serious computing. Linux is a version of Unix for the PC, now available in several "user friendly" commercial releases. Linux may someday challenge Microsoft Windows' dominance, but even now provides am excellent platform for computing on a PC

http://www.linux.org/, free version of Unix for the PC by Linus Torvalds.

http://www.redhat.com/ Red Hat commercial release of Linux.

http://www.spssscience.com/  Free version of BSD Unix for the PC.

http://www.research.att.com/sw/tools/uwin/ UWIN runs Unix programs under Windows (best on NT). Free educational version.

http://cygwin.com/ Cygwin: A Free Win32 Porting Layer for Unix applications based on a Dynamic-Linked Library (DLL) that provides a large subset of the system calls found in common Unix implementations. See also:http://sources.redhat.com/cygwin/usenix-98/cygwin.html

Microsoft Windows

• http://www.dewassoc.com/support/index.html DEW Associates: Windows Technical Help

X-Windows

This is the standard GUI for Unix based computing and is standard with Linux, but it is actually operating system independent. Hence you can run an X-windows client under MS Windows.

http://tnt.microimages.com/www/html/freestuf/mix/ Free X-Windows server for the PC

http://www-jics.cs.utk.edu/TSU/I2UNIX/unix_guide_Apr96/unix_guide_Apr96.html Basic X-windows guide

OpenGL

A standard for programmable 3d graphics developed by SGI. Now runs on most Unix/X-windows and is a standard part of Windows.OpenGL is most useful when combined with GLUT, a programming toolkit for writing device independent OpenGL programs.

http://www.opengl.org/ OpenGL home page.

http://reality.sgi.com/opengl/ SGI OpenGL page.

http://reality.sgi.com/opengl/glut3/glut3.html GLUT is a programming toolkit for writing device independent OpenGL programs.

http://sound.media.mit.edu/~rago/classes/mas864/project1/openglball/opengl.html Demonstration of OpenGL for Windows environment.

Utilities

• http://web.mit.edu/network/pgp.html Pretty good privacy. Encryption software (MIT ). Free.
• http://hep1.physics.wayne.edu/info/ssh/node1.html Secure Shell. Telnet with encrypted password protection
• http://www.helpdesk.gwu.edu/helpdesk/software/download.html Teraterm (secure shell client for the PC) Free to GWU students and faculty.
• http://www.helpdesk.gwu.edu/helpdesk/software/download.html WS-FTP. Nice Windows GUI FTP utility. Free for GWU students and faculty. Windows has a rudimentary FTP built-in.
• http://www.winzip.com/ Win ZIP (Shareware). An older free program (DOS based) alternative is pkunzip.exe: try http://www.cbnet.ns.ca/cbnet/share/pkunzip.html
• http://www.helpdesk.gwu.edu/helpdesk/software/sophos/index.html Sophus anti virus free for GWU students and faculty.
• http://www.fsf.org/ GNU Emacs home.
• http://www.gnu.org/software/emacs/windows/ntemacs.html NT Emacs. Works in Windows 9x, 2000  too. (free). http://w3.trib.com/~ccurley/emacs.html How to Install NT Emacs.
• http://www.gnu.org/software/ispell/ispell.html Ispell Unix spelling utility for windows free.
• http://www.gwu.edu/~math/computers.htm Math Department Computers page (a little out of date)

Markup Languages

TeX, the mathematical typesetting language invented by Donald Knuth in the 1970s is another well known markup language (LaTeX is a version of TeX). It is now the standard for mathematical (hard copy) publishing, but is not well suited for the web.

See the article below
 

• http://teaser.ieee.org/pubs/spectrum/9904/math.html Kenneth R. Foster (University of Pennsylvania), Math on the Internet, IEEE Spectrum April, 1999 Volume 36 Number 4.

TeX Implementations (standard)

"Standard" means you type the TeX code in ASCII, then compile and view or print, but do not see the typesetting as you type.
• http://www.tug.org/welcome.html TUG (TeX Users Group).
• http://www.miktex.org/MikTex best available free TeX for Windows.
• http://www.wfu.edu/Academic-departments/Economics/ftp/  Another good free TeX implementation.
• http://www.yandy.com/  Y&Y Tex. Commercial Implementation.
• http://www.pctex.com/ PC Tex. Commercial implementation with True Type Fonts.

 

TeX implementations (wysiwig)

Wisiwyg means "What you see is what you get".
• http://www.mathtype.com/ Mathtype is LaTeX for MS Windows (Commercial).
• http://www.mackichan.com/Default.htm  Scientific workplace. Wyswig LaTex combined with Maple. Commercial with free 30 day trial.

MathML and other math to internet systems

• http://www.webeq.com/ Webeq: A MathML/TeX/Java based way to post math to the web.
• http://www.w3.org/Math/ Source page on MathML.
• http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html LaTeX and TeX for Hypertext.
• http://www-4.ibm.com/software/network/techexplorer/ IBM Techplorer hypermedia browser. Free introductory edition.
• http://www.w3.org/TR/MathML2/ MathML.
• http://www.imath.org/ Internet Math Consortium (http://www.imath.net/).
• http://www.mathmlconference.org/presentations.html MathML Conference (Oct 2000).


HTML/XML

• http://www.xml-zone.com/default1.asp?Area=XML XML.
• http://www.w3.org/XML/ XML Home page.
• http://www2.imagiware.com/RxHTML/ Doctor HTML. Test's HTML pages for problems.
• http://edweb.gsn.org/htmlintro.html HTML crash course.
• http://www.w3.org/TR/REC-html40/ HTML 4 specification.
• http://validator.w3.org/ Official W3 HTML validation services.

Graphics/Publishing

Postscript

Postscript is a "page description language" which really means a programming language for a printer.The Postscript format was designed by Adobe Systems Inc for high end printers for Macintosh computers. Now it is often the format of choice for high quality printed illustrations in scientific publications. Many of the best drawing programs, as well as packages like Matlab and Maple produce postscript output. However, postscript files tend to he huge (hence not popular for the Web) and are prone to compatibility problems. Certain restricted versions of postscript like "encapsulated postscript" are meant to ameliorate some of these problems.

http://www.cs.wisc.edu/~ghost Ghostview: a free postscript interpreter. Many good links on postscript. free.

http://www.cs.indiana.edu/docproject/programming/postscript/postscript.html First guide to postscript

PDF

Adobe's "Portable document format" also sometimes called "second generation postscript". It is essentially postscript without  the features of a programming language. Adobe acrobat reader allows free viewing and printing of PDF documents. Adobe Acrobat (to make PDF files) is expensive, but ghostview can do the job for free.
 

• http://www.adobe.co.uk/products/acrobat/readstep.html Download the acrobat reader here
• http://partners.adobe.com/asn/developer/PDFS/TN/PDFSPEC.PDF The PDF Format reference

Graphing/plotting programs

These programs create graphics from data. In addition to those listed here, programs like maple, Mathematica, MATLAB, and Minitab are good for this.

http://www.davidparker.com/ David Parker Graph. Inexpensive 3-dimesional graphing program.

http://stommel.tamu.edu/~baum/ocean_graphics.html Software for Graphics and Data Analysis by S. Baum, Dept. of Oceanography, Texas A&M University.

http://www.gnuplot.org/ The standard Unix plotting program, also available for Windows. Free. See also http://www.usf.uni-osnabrueck.de/~breiter/tools/gnuplot/index.en.html

http://ls7-www.cs.uni-dortmund.de/html/englisch/servers.html/ Graphics resource list.

Drawing and painting programs

The difference between drawing and painting is that drawing uses vector graphics (and tends to create drawings in formats like postscript) where as painting uses raster graphics and tends to produce bit mapped files as output. The "paint" utility that comes with Windows is a good example of a painting program. Many good commercial drawing and painting programs are available, but not mentioned here.
 

• http://www.xfig.org/ XFIG Drawing Program for X Window System (runs on Unix and Linux). Unfortunately there seems to be no good version for Microsoft Windows!
• http://duke.usask.ca/~macphed/soft/fig/index.html The FIG graphics format. Related to XFig but useful on other platforms too.
• http://www.mayura.com/ Good program for postscript technical drawing for the PC. Good substitute for Xfig on the PC Shareware.
• http://www.adobe.com/products/illustrator/main.html  Adobe Illustrator. Versitile drawing program. Commercial but comes in inexpensive academic version for PC or MAC.
• http://www.smartdraw.com/Smartdraw. General drawing program with extensive flowchart ability (Free trial version).
• http://www.simplesystems.org/ImageMagick/ High level program for painting and conversion. Free.
• http://www.gimp.org/ GIMP is similar to image magik. Free.
• http://www.povray.org/ POV (Persistance Of Vision) ray tracing program.High quality and Free.

Graphics file formats

There are many different ways to encode graphics information. All have their strengths and weaknesses. Here is some information about the options.

http://www.webopedia.com/Graphics/Graphics_Standards/graphics_file_format.html (Webopedia)

http://webware.princeton.edu/howard/slides/future/index.htm Image File Formats List. Center for Innovative Computer Applications

http://www.ora.com/centers/gff/gff-faq/index.htm Graphic file format FAQ.

http://www.dcs.ed.ac.uk/~mxr/gfx/ Source on graphics file formats.

http://duke.usask.ca/~macphed/soft/fig/index.html The FIG graphics format.

VRML (virtual reality)

VRML is the "Virtual Reality Modeling Language". It comes in two versions:  VRML 1.0 is a more static model, but simpler to implement. VRML 2.0 is more active but also more complex. In addition to it's obvious use as a gaming language, it may have a future in scientific visualization. Judge for yourself.

http://www.web3d.org/vrml/vrml.htm VRML home page.

http://www.vruniverse.com/ Many VRML links.

http://www.karmanaut.com/cosmo/player/ Cosmo Player. VRML viewer (free)

http://gams.nist.gov/MatrixMarket/ NIST Matrix market: VRML plots of matrices.

Specialized Software

Mathematics software

These programs each illustrate and compute within the context of a particular mathematical concept (fractals, dynamical systems, classical geometry).

http://spanky.triumf.ca/www/fractint/fractint.html Fractint. State of the art fractals (free program for various platforms).

http://keck2.umd.edu/dynamics/general_info/smalldyn.html SmallDyn dynamical systems package by Helena Nusse & Jim Yourke. Free windows version.

http://www.primenet.com/~lascaux/. Source of  "f(z)" for viewing complex functions and "Fields and Operators".

http://www.cs.runet.edu/~dana/ca/cellular.html Cellang: the cellular automata programming language (Radford University, VA).

http://isetlw.muc.edu/isetlw/default.asp ISETL (Interactive SET Language) an interpreted mathematical programming language closely resembling the language of sets and functions.

Geometry construction programs

These programs allow the user to do classic constructions in plane geometry, analytic geometry, ruler and compass constructions, etc. Some support non-Euclidean geometry. All offer Free demonstration versions.

• http://www.cabri.net/Cabri Geometry
• http://www.keypress.com/catalog/products/software/Prod_GSP.html Geometer's sketchpad.
• http://www.cinderella.de/  Interesting implementation uses complex projective coordinates.

Molecule visualization software

Visualization has become an important tool in molecular biology. These can be used to view the databases listed below.

http://www.ks.uiuc.edu/Research/vmd/ VMD for visualization of complex bio-molecules. PC version

http://www.bmsc.washington.edu/raster3d/raster3d.html Raster 3-D bio-molecule rendering program

Online computational tools (server based)

http://www.research.att.com/~njas/sequences/ Integer Sequence Identifier (Bell Labs).

http://www.lacim.uqam.ca/pi/  Plouffe's Inverter. This server is a database of more than 201,304,822 mathematical constants.

http://www.cecm.sfu.ca/projects/ISC/ISCmain.html  Inverse Symbolic Calculator: A set of programs and specialized tables of mathematical constants dedicated to the identification of real numbers.

http://psg.cecm.sfu.ca/projects/revenge/client/RevEngClient.html Reverse engineering calculator from Maple.

http://www.geom.umn.edu/apps/ Interactive applications (Minnesota Geometry Center).

Online computational tools (mostly Java and JavaScript)

http://www.sci.wsu.edu/idea/ Differential Equations .

http://amath.colorado.edu/appm/faculty/sherod/classes/Phasor/phase.html Very nice ODE phase portraits (Java applet).

http://solar.aie.nl/~geert/java/public/Penrose.html Penrose tiling program (Java applet) by Geert-Jan van Opdorp. Another Penrose Applet by  ShuXijang Zeng http://www.geocities.com/SiliconValley/Pines/1684/Penrose.html

http://oscar.cacr.caltech.edu/Hrothgar/ Ising model (Java applet).

http://www.ies.co.jp/math/java/ Excellent calculus class demos from Japan (Java applets).

http://www.stats.ox.ac.uk/~etheridg/finmath/finan12.pdf Two dimensional cellular automata (Java applet).

http://www.math.gatech.edu/~carlen/applets/index.html Advice on writing instructional math applets by Eric Carlen (GA Tech).

http://www.ccsf.caltech.edu/~roy/Caustic/index.html  Coffee cup caustic.

http://tilde-schaller.home.cern.ch/~schaller/complex/CA1d/CA1d.html One dimensional cellular automata (Java Applet).

http://serendip.brynmawr.edu/chaos/home.html Billiards and Chaos (Bryn Mawr College).

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2. Ideas and concepts

Some Computational Sciences:

Computational Math/Statistics

• http://ubmail.ubalt.edu/~harsham/statistics/REFSTAT.HTMLinks in computational statistics (some dated).
• http://www.cs.uky.edu/~jzhang/Journal.html Jun Zhang's Computational Math Page (GWU math alum!)
• http://www-sccm.stanford.edu/FoCM/Foundations of Computational Mathematics (Stanford U)

Computational Physics/Astronomy

• http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/ Computational Physics in site from Scotland.
• http://zeus.ncsa.uiuc.edu:8080/lca_home_page.html Laboratory for Computational Astrophysics, NCSA. Includes software and MPEG animations (very nice!)

Computational Chemistry/Biology

• http://gutenberg.llnl.gov/~colvin/intro/intro.html Lawrence Livermore National Lab, Introduction to Computational Chemistry. Includes good links.
• http://www-lmmb.ncifcrf.gov/ Laboratory of Experimental and Computational Biology (LECB).
• http://www.islandpress.org/ford/AAOpen.html Environmental Modeling.
• http://www.emsl.pnl.gov:2080/proj/neuron/evolve/ Computational Chemistry.
• http://www.msci.memphis.edu/~giri/compbio/f99/reading.html Course on Bioinformatics by Giri Narasimhan, (U. Memphis).

 Computational Economics/Finance

• http://www.cs.columbia.edu/~library/TR-repository/reports/reports-1994/cucs-023-94.ps preprint: Computing High Dimensional Integrals with Applications to Finance, Spassimir H. Paskov, Columbia University Department of Computer Science.
• http://economics.miningco.com/msubcomp.htm About.com page on Computational Economics.
• http://fairmodel.econ.yale.edu/ Online model of US economy from Yale.
• http://www.oswego.edu/~kane/econometrics/stud_resources.htmComputational Economics links.
• http://www.stats.ox.ac.uk/~etheridg/finmath/finan12.pdf Mathematical Finance (Oxford U.)
• http://zia.hss.cmu.edu/econ/index.html Page on economic modeling.

Computational Political Science

• http://pscs.physics.lsa.umich.edu/Software/ComplexCoop.html Complexity of Cooperation Web Site,

Robert Axelrod, (U. Michigan)
• http://www.cs.unc.edu/~livingst/Banzhaf/ Banzhaf Power Index. UNC Computer Science graduate student Mark Livingston analized the electoral college using using Monte-Carlo technique applied to thoeory due to GW Law Porfessor John Banzhaf.

 

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Hardware Issues:

Floating Point Arithmetic

• http://wheat.uwaterloo.ca/bibliography/Math/fparith.html :Bibliography of material on floating point arithmetic.
• http://www.cs.utah.edu/~zachary/isp/resources.html Materials from J. Zachary

TCP/IP

• http://www.yale.edu/pclt/COMM/TCPIP.HTM  TCP/IP (Yale U)

Parallel  architecture

• http://www.epm.ornl.gov/pvm/  Parallel Virtual Machine (PVM)
• http://www.netlib.org/mpi Message Passing Interface (MPI)

Quantum computing

• http://tilde-schaller.home.cern.ch/~schaller/complex/CA1d/CA1d.html Cal Tech Physics course in quantum computing.
• http://www.sciam.com/1998/0698issue/0698gershenfeld.html Quantum Computing with Molecules, by Neil Gershenfeld and Isaac L. Chuang, Scientific American e-article.

The evolution of computing technology

• http://www.physics.udel.edu/wwwusers/watson/scen103/intel.html Moore's law
• http://jeffsutherland.org/objwld98/future.html Moore's law
• http://www.dotco.com/t3/tangledwebs/tw0209.html Moore's law
• http://webware.princeton.edu/howard/slides/future/index.htm Growth of the WWW

Some modern mathematical models:

Simulated Annealing/Genetic Algorithms/Artificial Life

• http://www.pcs.cnu.edu/~bbradie/database.html Modeling links
• http://www.emsl.pnl.gov:2080/proj/neuron/evolve/ Evolutionary Computation
• http://chem1.nrl.navy.mil/~shaffer/practga.html Discussion of genetic algorithms with emphasis on computational chemistry. Includes MATLAB demo.
• http://www.ingber.com/ Lester Ingber's reprints and code (ASA) on simulated annealing.
• http://www.aic.nrl.navy.mil/galist/ Genetic Algorithm Archive (Naval Research Lab)
• http://www.scs.carleton.ca/~csgs/resources/gaal.html  Genetic Algorithms and Artificial Life Resources (Carleton College).

Monte-Carlo and Quasi Monte-Carlo methods

• http://www.mat.sbg.ac.at/~schmidw/links.html Quasi Monte Carlo (QMC) Homepage at Universtät Salzburg
• http://www.math.hkbu.edu.hk/qmc/qmc.html QMC-Server at Hongkong Baptist University (including some Fortran programs)
• http://www.physics.carleton.ca/courses/75.502/slides/monte12/index.html Lecture on Random Numbers
• http://www.npac.syr.edu/projects/random/index.html NHSE Guide to random number generators.

3. Professional resources

e-books & e-journals:

• http://csep1.phy.ornl.gov/csep.htmlComputational Science Education Project E-Book (US DOE, Oak Ridge National Laboratory)
• http://csep10.phys.utk.edu/guidry/internet_resources/ebooks.html List of E-books: Includes C, HTML
• http://www.ams.org/mcom/ The mathematics of Computation E-journal published by AMS
• http://www.eckelobjects.com/Thinking in Java, by Bruce Eckel.
• http://www.eckelobjects.com/ Thinking in C++, by Bruce Eckel.
• http://www.ulib.org/webRoot/Books/Numerical_Recipes  Numerical recipes in Fortran, William H. Press, et al.
• http://www.ulib.org/webRoot/Books/Numerical_Recipes  Numerical recipes in C, by William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery.
• http://ais.cs.sandia.gov/AiS/textbook/resources/index.htmlSandia National Lab Computational Sciences textbook.
• http://www.geocities.com/Athens/Olympus/5564/prof77.htm  Professional Programmer's Guide to Fortran 77, by Clive G. Page,  Pitman 1988 (paper edition out of print).
• http://www.dspguide.com/pdfbook.htmThe Scientist and Engineer's Guide to Digital Signal Processing, by Steven W. Smith California Technical Publishing (1997) e-book.
• http://www.cis.upenn.edu/~wilf/lecnotes.htmlEast\West, by H. Wilf. An E-book on combinatorial algorithms with Maple worksheet.
• http://sicp.arsdigita.org/text/sicp/Structure and Interpretation of Computer Programs, by Harold Abelson and Gerald Jay Sussman with Julie Sussman. MIT textbook on computer programming (using Lisp).

Organizations/Companies:

• http://www.ams.org/ American Mathematical Society: E-math web site.
• http://www.ncsa.uiuc.edu/ National Computational Science Alliance.
• http://www.openmath.org/ Open Math Society. Promotes standards for exchanging mathematical software between computers.
• http://computer.org/ IEEE Computer Society.
• http://www.geom.umn.edu/Minnesota Geometry Center (now closed).
• http://www.mathcom.com/ Mathcom is a consulting company in Computational Mathematics.

Academic programs/courses:

• http://csi.gmu.edu/index.html GMU Institute for Computational Sciences and Informatics.
• http://www-sccm.stanford.edu/ Stanford University - Scientific Computing/Computational Mathematics.
• http://iris3.furman.edu/info.ids95.htmlFurman University Computational Sciences Program.
• http://www.math.hmc.edu/~depillis/MATH164/SC.html Harvey Mudd College.
• http://mupperg.math.macalester.edu:81/flightsense/Conference98/CompSciConf98.htmlComputational Science as an Interdisciplinary Bridge (Conference)
• http://www.math.duke.edu/education/ccp/materials The Duke University CPP (Connected Curriculum Project)

http://www.ma.adfa.oz.au/Teaching/Subjects/mathmod.html Course on Mathematical Modeling from Australia
• http://www.math.tamu.edu/~boas/courses/math696/  Mathematical Communication and Technology Harold P. Bose, Texas A&M.
• http://www.math.tamu.edu/~Harold.Boas/resources.html Harold Boas' resources page. Associated with course on computing at Texas A&M

Databases

• http://gams.nist.gov/MatrixMarket/ NIST Matrix market.

Human Genome

• http://www.ncbi.nlm.nih.gov Human Genome Project.
• http://www.celera.com Celera Inc.

Protein Folding (distributed)

• http://www.folderol.org
• http://www.stanford.edu/group/pandegroup/Cosm