Climate Dynamics, Chaos and Quantum Mechanics  http://www.geocities.com/amselvam A general systems theory for chaos, quantum mechanics and climate dynamics applicable to dynamical systems of all spacetime scales. 
Crowd Dynamics  http://www.crowddynamics.com/ Crowd and Egress Dynamics by G. Keith Still. 
Dynamical Systems Home Page  http://www.math.sunysb.edu/dynamics/ Conference listings, survey articles, open problems, people, jobs, and seminars. 
Dynamical Systems Lab  http://www.geom.uiuc.edu/education/math5337/ds/ This set of lectures is designed to explore onedimensional dynamical systems using the software Chaos and Dynamics. 
Dynamical Systems Websites  http://www.maths.warwick.ac.uk/dynamics/links.html A list of research sites maintained at the University of Warwick. 
Dynamics in One Complex Variable  http://arxiv.org/abs/math.DS/9201272 These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself. The reader is assumed to be familiar with the rudiments of complex variable theory and of twodimensional differential geometry. 
Ergodic Theory and Dynamical Systems  http://www.ma.man.ac.uk/~mp/research.html With a particular emphasis on applications to other areas of mathematics. Mark Pollicott. 
Evolution Equations and Semigroups  http://www.math.lsu.edu/~tiger/evolve/evolve.html Bulletin board and preprint archive. 
Java Exploration Tool for Dynamical Systems  http://www.cg.tuwien.ac.at/research/vis/dynsys/frolic/ This Java Applet can be used for the exploration on twodimensional analytical defined dynamical systems. The system is defined by a set of two differential equations, which will be evaluated within adjustable regions forming a twodimensional vector field. 
Nonlinear Dynamics Bibliography  http://www.unimainz.de/FB/Physik/Chaos/chaosbib.html Maintained by Peter E. Beckmann, Johannes Gutenberg Universität. 
Pages on Dynamical Systems  http://www.dynamicalsystems.org/ A interactive laboratory on dynamical systems, in particular on particle systems. 
Population Dynamics with Hysteresis Effect  http://www.geocities.com/minchevemil/pdhe.html Papers on population dynamics with hysteresis based on phase transition phenomena, by Emil Minchev (PDF/PS). 
Society for Nonlinear Dynamics and Econometrics  http://wwwsnde.rutgers.edu/SNDE/society/snde.html The Society seeks to promote the use of nonlinear methods in economics and finance from both a theoretical and empirical perspective. 
Surveys in Dynamical Systems  http://www.math.sunysb.edu/dynamics/surveys.html References to several surveys and papers of introductory character which are available online. 
Turbulent Landscapes  http://www.exploratorium.edu/complexity/ Turbulent Landscapes is the result of 13 artists' explorations of complexity in nature. The exhibit will travel to museums and science centers in upcoming months. 
Dynamical Systems: an International Journal  http://www.tandf.co.uk/journals/titles/14689367.asp Formerly Dynamics and Stability of Systems (Routledge). Tables of contents from vol.11 (1996), abstracts from vol.14 (1999). Full text to subscribers. 
Far East Journal of Dynamical Systems  http://www.pphmj.com/fjdsjournals.htm (Pushpa) Table of contents and abstracts from vol.1 (1999). 
Journal of Dynamical Systems and Geometric Theories  http://www.tarupublications.com/jdsgt.html (Taru) Author information and tables of contents (PDF). 
Multibody System Dynamics  http://www.springeronline.com/sgw/cda/frontpage/0,11855,44010970357527660,00.html (Kluwer) Abstracts and contents of all volumes. Full text to subscribers. 
Qualitative Theory of Dynamical Systems  http://web.udl.es/usuaris/y4370980/ Contents, abstracts, free text. 
Regular and Chaotic Dynamics  http://www.turpion.org/main/pa_rcd.html Abstracts, contents. Full text to subscribers. 
UK Nonlinear News  http://www.maths.leeds.ac.uk/Applied/news.dir/ Newsletter for researchers in the applied and theoretical sides of nonlinear mathematics to keep abreast of the wide variety of nonlinear activities throughout the UK. All issues online. 
(France) Institut de Mathématiques de Luminy  http://iml.univmrs.fr:80/dac/welcome.html Dynamics, Arithmetic, Combinatorics. Site in French and English. 
(France) Université de ParisSud, Orsay  http://topo.math.upsud.fr/indexeng.html Topology and Dynamical Systems research group. Members, seminars, theses. 
(Germany) Free University Berlin  http://dynamics.mi.fuberlin.de/ Nonlinear Dynamics research group. Members, projects, publications, meetings, links. 
(Germany) University of Munich  http://www.nonlin.tumuenchen.de/chaos/chaos_e.html Nonlinear Dynamics Group. Group information and publications. 
(Japan) University of Kyoto  http://www.acs.i.kyotou.ac.jp/indexe.html Department of Applied Analysis and Complex Dynamical Systems. Macroscopic phenomena of complex systems consisting of microscopic elements, mostly via nonlinear, largescale interactions. 
(Netherlands) Rijksuniversiteit Groningen  http://www.math.rug.nl/Research/Dynsys/ Dynamical Systems programme. Activities, courses, members, meetings, projects, jobs. 
(Spain) Barcelona UBUPC  http://www.maia.ub.es/dsg/ Universitat de Barcelona (UB) and Universitat Politècnica de Catalunya (UPC) joint Dynamical Systems Group. Meetings, publications. 
(Spain) Universitat Autònoma de Barcelona  http://www.gsd.uab.es/ Grup de Sistemes Dinàmics. Members, publications, seminars, resources. 
(UK) Queen Mary, University of London  http://www.maths.qmul.ac.uk/MRC/dynsys/ Dynamical Systems group. Research projects, members, publications, seminars and resources. 
(UK) TUXEDO  http://www.maths.warwick.ac.uk/~mackay/tuxedo.html The UK Spatially Extended Dynamics Organisation. An interuniversity research collaboration meeting several times a year. 
(UK) University of Bath  http://www.bath.ac.uk/cnm/centre.shtml The Centre for Nonlinear Mechanics: an interdisciplinary research centre combining many aspects from engineering and pure science in the modelling of practical nonlinear systems. 
(UK) University of Cambridge  http://www.damtp.cam.ac.uk/user/nlc/ The Nonlinear Centre: a research group in Dynamical Systems and related aspects of Nonlinear Science. Based in the Department of Applied Mathematics and Theoretical Physics (DAMTP) and the Statistical Laboratory. 
(UK) University of Leeds  http://www.amsta.leeds.ac.uk/cnls/ Centre For Nonlinear Studies. Research collaborations between mathematicians, scientists and engineers with a common interest in nonlinear dynamics and its applications. Meetings, publications and resources. 
(UK) University of Liverpool  http://www.liv.ac.uk/PureMaths/MIN_SET/CONTENT/RESEARCH_GROUPS/dynam.html Dynamical Systems research group: members, research topics. 
(UK) University of London, University College  http://www.ucl.ac.uk/CNDA/ Centre for Nonlinear Dynamics and its Applications. People, current research areas, meetings, publications, links. 
(UK) University of Manchester  http://www.ma.man.ac.uk/~cwalkden/seminar.html Dynamical Systems Seminar schedule. 
(UK) University of York  http://gridlock.york.ac.uk/ Networks and Nonlinear Dynamics Group, Department of Mathematics. Control, prediction and optimisation of complex systems. Systems looked at include road traffic, telecoms traffic and production data from noisy realworld industrial processes. 
(USA) Brown University  http://www.dam.brown.edu/lcds/ Lefschetz Center for Dynamical Systems. Members, research interests, publications, software, meetings, resources. 
(USA) Cornell University  http://www.math.cornell.edu/~dynamics/ Dynamics at Cornell: projects, software, theses. 
(USA) Georgia Tech  http://www.math.gatech.edu/cdsns/ The Center for Dynamical Systems and Nonlinear Studies was established in September 1988 to strengthen the existing research activities in the School of Mathematics with special focus on dynamical systems, differential equations, nonlinear analysis, and applications. 
(USA) Montana State University  http://www.math.montana.edu/%7Ejarek/dynachat.html DynaChat: dynamics seminar. Past and future speakers. 
(USA) Penn State  http://www.math.psu.edu/dynsys/ Center for Dynamical Systems. Meetings, members, publications. 
Laboratory for Computational Astrophysics  http://zeus.ncsa.uiuc.edu:8080/lca_home_page.html A joint project of the National Center for Supercomputer Applications and the Department of Astronomy of the University of Illinois. 
NBody/Particle Simulation Methods  http://www.amara.com/papers/nbody.html An extensive online tutorial with examples and code references. 
NEMO  http://bima.astro.umd.edu/nemo/ [open source  Unix] An extendible stellar dynamics toolbox; has various programs to create, integrate, analyze and visualize Nbody and SPHlike systems. In addition there are various tools to operate on images, tables and orbits, including FITS files to export/import to/from other astronomical data reduction packages. 
ORSA  Orbit Reconstruction, Simulation and Analysis  http://orsa.sourceforge.net ORSA is a C++ framework for the development of algorithms and programs oriented to the simulation and analysis of the orbital evolution of bodies in space. 
Stellar Astrophysics Software  http://grnwd.tripod.com/thelostchord.html [open source  Windows] Various programs for stellar astrophysics. Includes CHANDRA stellar structure software for collapsed objects including rotating white dwarfs and neutron stars, and STARCAL for nuclear astrophysics and the stellar structure of main sequence stars with supernova forecasting. 
Aarseth's Nbody software  http://www.ast.cam.ac.uk/~sverre/ [open source  multiplatform] Direct Nbody algorithms. 
Barnes & Hut Treecode Algorithm  http://www.ifa.hawaii.edu/~barnes/software.html [open source  multiplatform] A guide to a tree code algorithm implementation, used for astronomical Nbody simulations. 
CAPGADGET  http://www.geocities.com/capgadget [open source  multiplatform] Visualization package to capture and display Gadget Nbody simulations. 
CFD codes list  http://icemcfd.com/cfd/CFD_codes.html A large list of commercial, publicdomain and shareware Computational Fluid Dynamics codes. 
COSMICS  http://arcturus.mit.edu/cosmics/ Cosmological initial conditions and microwave anisotropy codes for cosmological modelling. COSMICS is a package of fortran77 programs. 
Addix.Spline  http://www.addix.com/products/spline/overview.html A comprehensive spline curve function library for creating and evaluating splines in Excel, VB and VBA. Free download of evaluation copy. 
An Index to Numerical Methods in Pascal  http://wwwrab.larc.nasa.gov/nmp/nmpIndex.htm A comprehensive list including freeware, shareware and commercial packages. 
Astronomical Image Processing System  http://www.cv.nrao.edu/aips/ A software package for calibration, data analysis, image display, plotting, etcetera on astronomical data. 
Astronomy and Numerical Source Codes  http://www.moshier.net/ Astronomical computations and mathematical functions source programs in C. Home page of the Cephes Mathematical Library. 
Boundary Element Method  http://www.boundaryelementmethod.com/ Resources: Acoustics, Laplace and Helmholtz Problems. Book, manuals, Fortran software (Free and to purchase). 
Center for the Mathematics of Waves  http://www.math.udel.edu/research/wave_center/ Includes the Finite Element/Nystrom Solver, a two dimensional coupled finite element / Nystrom solver for the Helmholtz equation. 
CSE  LANCELOT  http://www.cse.clrc.ac.uk/nag/lancelot/lancelot.shtml A standard fortran 77 package for solving largescale nonlinearly constrained optimization problems. Free download by FTP. 
Decision Tree for Optimization Software  http://plato.la.asu.edu/guide.html Ready to use solutions for optimization problems, or at least a way to build such a solution using work done by others. Where possible, public domain software is listed. 
Discrete Fourier Series Transform  http://www.4p8.com/eric.brasseur/fouren.html Basic presentation of the discrete Fourier series transform. Explanations and formules. Raw source code to calculate numerical Fourier transforms. 
DONLP2  http://plato.la.asu.edu/donlp2.html Software for nonlinear programming. 
EasyFit  http://www.unibayreuth.de/departments/math/~kschittkowski/easy_fit.htm Used to identify parameters in explicit model functions, dynamic systems of equations (steadystate), Laplace transforms, ordinary differential equations, differential algebraic equations and onedimensional partial differential equations. Proceeding from given experimental data. For example, observation times and measurements, the minimum least squares distances of measured data from a fitting criterion are computed, that may depend on the solution of the dynamic system. 
FreeFEM  http://www.freefem.org/ Free general PDE solver driven by a user friendly language. Both a 2D and a 3D version are available. MacOS, Windows. 
Freely Available Software for the Solution of Linear Algebra Problems  http://www.netlib.org/utk/people/JackDongarra/lasw.html Software for highperformance computers available in source form for problems in numerical linear algebra, specifically dense, sparse direct and iterative systems and sparse iterative eigenvalue problems. 
Genetic Optimization Algorithm  http://www.geocities.com/geneticoptimization Freeware used to solve optimization problems with several real and binary parameters and non linear objective functions and constraints. Includes illustration of program and links to the author's other webpages. 
GNU Octave  http://www.octave.org/ Free numerical analysis and visualization environment similar to Matlab. 
GNU Octave Repository  http://octave.sourceforge.net/ Central location for custom scripts, functions and extensions to GNU Octave. 
JeanPierre Moreau's Home Page  http://perso.wanadoo.fr/jeanpierre.moreau/ This private website is entirely dedicated to sources in numerical analysis in four languages: Basic, C++, Fortran and Pascal in Microsoft Windows environment. 
MAI Information Technology  http://www.marschallacousticsinstruments.com.au/MAIIT Numerical, statistical, and signal processing subroutine libraries optimised for OS/2 platforms. 
MatLinks Software Network  http://matlinks.net/ Providing the MatLinks ToolChest and Chorus ToolBox, peerreviewed GNU Octave and Matlab/Simulink toolsuites under active development by scientists and engineers around the world. 
MEDEA: Matrix Exponential Differential Equation Algorithm  http://www.caspur.it/~castri/MEDEA/index.htm Algorithm for the numerical integration of systems of ordinary differential equations arising in chemical problems. C ocde, free to use. 
METIS: Serial Graph/Mesh Partitioning & Sparse Matrix Ordering  http://wwwusers.cs.umn.edu/~karypis/metis/metis/ Graph, mesh, and hypergraph partitioning software. Free download, portable on most Unix systems that have an ANSI C compiler (e.g. GNU C). 
MIT Aero/Astro Scientific Visualization  http://raphael.mit.edu/haimes.html Visualization software developed at MIT. 
Netlib  http://www.netlib.org/ Searchable repository of free numerical software. 
Newmat C++ Matrix Manipulation Library  http://www.robertnz.net/nm_intro.htm For the manipulation of matrices in the C++ language, oriented towards science and engineering applications. 
Numerical Methods  http://www.numericalmethods.com/ Notes and Fortran code on topics including: Finite elements, finite differences, boundary elements, integral equation methods, optimisation,linear systems, numerical integration, ODEs. 
Objectoriented Finite Element / Numerical Methods in C++  http://www.vectorspace.com/ VectorSpace C++ Library for advanced numerical computation such as constrained optimization, variational methods, and computational mechanics. 
Ordinary Differential Equation System Solver  http://damato.lightspeed.de/dessolver/ A JavaApplet/Application for solving ODE systems. 
Reactor Simulation Editor, Introduction with Examples  http://www.cas.mcmaster.ca/~gilbert/rse_intro/ The Reactor Simulation Editor (rsedit) is a software package designed to solve finite difference equations in a simplified way. The tool kit includes: a geometry editor, data structure editors, equation editor and an HTML output library. 
Scientific Computing  http://www.iscalouis.com/ Software and Algorithms for linear and nonlinear inverse Problems: Computerized tomography, wavelet applications, statical computations, multi parameter fit and more 
SLEIGN2  http://www.math.niu.edu/~zettl/SL2/ FORTRAN programs for solving SturmLiouville equations. 
Spline Curve Fit 3D  http://www.geocities.com/mdcaero/index2.html Software for complex three dimensional surfaces. 
TeLa  http://www.geo.fmi.fi/prog/tela.html The tensor language. Scientific computing language and environment. 
Test Set for Initial Value Problem Solvers  http://pitagora.dm.uniba.it/~testset Test problems, experimental results from a number of proven solvers, solvers, subroutines providing a common interface and links for Initial Value Problems for ODEs, DAEs and IDEs. 
The Algae Programming Language  http://www.eskimo.com/~ksh/algae/index.html A highlevel interpreted language for numerical analysis. Free (GNU GPL). 
XR  http://members.lycos.co.uk/keithmbriggs/XR.html An implementation of exact real arithmetic in C++ by Keith Briggs. 
Aarseth's Nbody software  http://www.ast.cam.ac.uk/~sverre/ [open source  multiplatform] Direct Nbody algorithms. 
Barnes & Hut Treecode Algorithm  http://www.ifa.hawaii.edu/~barnes/software.html [open source  multiplatform] A guide to a tree code algorithm implementation, used for astronomical Nbody simulations. 
CAPGADGET  http://www.geocities.com/capgadget [open source  multiplatform] Visualization package to capture and display Gadget Nbody simulations. 
CFD codes list  http://icemcfd.com/cfd/CFD_codes.html A large list of commercial, publicdomain and shareware Computational Fluid Dynamics codes. 
COSMICS  http://arcturus.mit.edu/cosmics/ Cosmological initial conditions and microwave anisotropy codes for cosmological modelling. COSMICS is a package of fortran77 programs. 
Laboratory for Computational Astrophysics  http://zeus.ncsa.uiuc.edu:8080/lca_home_page.html A joint project of the National Center for Supercomputer Applications and the Department of Astronomy of the University of Illinois. 
NBody/Particle Simulation Methods  http://www.amara.com/papers/nbody.html An extensive online tutorial with examples and code references. 
NEMO  http://bima.astro.umd.edu/nemo/ [open source  Unix] An extendible stellar dynamics toolbox; has various programs to create, integrate, analyze and visualize Nbody and SPHlike systems. In addition there are various tools to operate on images, tables and orbits, including FITS files to export/import to/from other astronomical data reduction packages. 
ORSA  Orbit Reconstruction, Simulation and Analysis  http://orsa.sourceforge.net ORSA is a C++ framework for the development of algorithms and programs oriented to the simulation and analysis of the orbital evolution of bodies in space. 
Stellar Astrophysics Software  http://grnwd.tripod.com/thelostchord.html [open source  Windows] Various programs for stellar astrophysics. Includes CHANDRA stellar structure software for collapsed objects including rotating white dwarfs and neutron stars, and STARCAL for nuclear astrophysics and the stellar structure of main sequence stars with supernova forecasting. 
Addix.Spline  http://www.addix.com/products/spline/overview.html A comprehensive spline curve function library for creating and evaluating splines in Excel, VB and VBA. Free download of evaluation copy. 
An Index to Numerical Methods in Pascal  http://wwwrab.larc.nasa.gov/nmp/nmpIndex.htm A comprehensive list including freeware, shareware and commercial packages. 
Astronomical Image Processing System  http://www.cv.nrao.edu/aips/ A software package for calibration, data analysis, image display, plotting, etcetera on astronomical data. 
Astronomy and Numerical Source Codes  http://www.moshier.net/ Astronomical computations and mathematical functions source programs in C. Home page of the Cephes Mathematical Library. 
Boundary Element Method  http://www.boundaryelementmethod.com/ Resources: Acoustics, Laplace and Helmholtz Problems. Book, manuals, Fortran software (Free and to purchase). 
Center for the Mathematics of Waves  http://www.math.udel.edu/research/wave_center/ Includes the Finite Element/Nystrom Solver, a two dimensional coupled finite element / Nystrom solver for the Helmholtz equation. 
CSE  LANCELOT  http://www.cse.clrc.ac.uk/nag/lancelot/lancelot.shtml A standard fortran 77 package for solving largescale nonlinearly constrained optimization problems. Free download by FTP. 
Decision Tree for Optimization Software  http://plato.la.asu.edu/guide.html Ready to use solutions for optimization problems, or at least a way to build such a solution using work done by others. Where possible, public domain software is listed. 
Discrete Fourier Series Transform  http://www.4p8.com/eric.brasseur/fouren.html Basic presentation of the discrete Fourier series transform. Explanations and formules. Raw source code to calculate numerical Fourier transforms. 
DONLP2  http://plato.la.asu.edu/donlp2.html Software for nonlinear programming. 
EasyFit  http://www.unibayreuth.de/departments/math/~kschittkowski/easy_fit.htm Used to identify parameters in explicit model functions, dynamic systems of equations (steadystate), Laplace transforms, ordinary differential equations, differential algebraic equations and onedimensional partial differential equations. Proceeding from given experimental data. For example, observation times and measurements, the minimum least squares distances of measured data from a fitting criterion are computed, that may depend on the solution of the dynamic system. 
FreeFEM  http://www.freefem.org/ Free general PDE solver driven by a user friendly language. Both a 2D and a 3D version are available. MacOS, Windows. 
Freely Available Software for the Solution of Linear Algebra Problems  http://www.netlib.org/utk/people/JackDongarra/lasw.html Software for highperformance computers available in source form for problems in numerical linear algebra, specifically dense, sparse direct and iterative systems and sparse iterative eigenvalue problems. 
Genetic Optimization Algorithm  http://www.geocities.com/geneticoptimization Freeware used to solve optimization problems with several real and binary parameters and non linear objective functions and constraints. Includes illustration of program and links to the author's other webpages. 
GNU Octave  http://www.octave.org/ Free numerical analysis and visualization environment similar to Matlab. 
GNU Octave Repository  http://octave.sourceforge.net/ Central location for custom scripts, functions and extensions to GNU Octave. 
JeanPierre Moreau's Home Page  http://perso.wanadoo.fr/jeanpierre.moreau/ This private website is entirely dedicated to sources in numerical analysis in four languages: Basic, C++, Fortran and Pascal in Microsoft Windows environment. 
MAI Information Technology  http://www.marschallacousticsinstruments.com.au/MAIIT Numerical, statistical, and signal processing subroutine libraries optimised for OS/2 platforms. 
MatLinks Software Network  http://matlinks.net/ Providing the MatLinks ToolChest and Chorus ToolBox, peerreviewed GNU Octave and Matlab/Simulink toolsuites under active development by scientists and engineers around the world. 
MEDEA: Matrix Exponential Differential Equation Algorithm  http://www.caspur.it/~castri/MEDEA/index.htm Algorithm for the numerical integration of systems of ordinary differential equations arising in chemical problems. C ocde, free to use. 
METIS: Serial Graph/Mesh Partitioning & Sparse Matrix Ordering  http://wwwusers.cs.umn.edu/~karypis/metis/metis/ Graph, mesh, and hypergraph partitioning software. Free download, portable on most Unix systems that have an ANSI C compiler (e.g. GNU C). 
MIT Aero/Astro Scientific Visualization  http://raphael.mit.edu/haimes.html Visualization software developed at MIT. 
Netlib  http://www.netlib.org/ Searchable repository of free numerical software. 
Newmat C++ Matrix Manipulation Library  http://www.robertnz.net/nm_intro.htm For the manipulation of matrices in the C++ language, oriented towards science and engineering applications. 
Numerical Methods  http://www.numericalmethods.com/ Notes and Fortran code on topics including: Finite elements, finite differences, boundary elements, integral equation methods, optimisation,linear systems, numerical integration, ODEs. 
Objectoriented Finite Element / Numerical Methods in C++  http://www.vectorspace.com/ VectorSpace C++ Library for advanced numerical computation such as constrained optimization, variational methods, and computational mechanics. 
Ordinary Differential Equation System Solver  http://damato.lightspeed.de/dessolver/ A JavaApplet/Application for solving ODE systems. 
Reactor Simulation Editor, Introduction with Examples  http://www.cas.mcmaster.ca/~gilbert/rse_intro/ The Reactor Simulation Editor (rsedit) is a software package designed to solve finite difference equations in a simplified way. The tool kit includes: a geometry editor, data structure editors, equation editor and an HTML output library. 
Scientific Computing  http://www.iscalouis.com/ Software and Algorithms for linear and nonlinear inverse Problems: Computerized tomography, wavelet applications, statical computations, multi parameter fit and more 
SLEIGN2  http://www.math.niu.edu/~zettl/SL2/ FORTRAN programs for solving SturmLiouville equations. 
Spline Curve Fit 3D  http://www.geocities.com/mdcaero/index2.html Software for complex three dimensional surfaces. 
TeLa  http://www.geo.fmi.fi/prog/tela.html The tensor language. Scientific computing language and environment. 
Test Set for Initial Value Problem Solvers  http://pitagora.dm.uniba.it/~testset Test problems, experimental results from a number of proven solvers, solvers, subroutines providing a common interface and links for Initial Value Problems for ODEs, DAEs and IDEs. 
The Algae Programming Language  http://www.eskimo.com/~ksh/algae/index.html A highlevel interpreted language for numerical analysis. Free (GNU GPL). 
XR  http://members.lycos.co.uk/keithmbriggs/XR.html An implementation of exact real arithmetic in C++ by Keith Briggs. 
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