| ADMB | D. Fournier, ADMB Project | | | 11 / 2012 | Free | BSD 3-clause (aka new) License | Automatic differentiation makes it well suited to complex minimization problems |
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| Ch | SoftIntegration | | 2001 | 7.0 / 2012 | $399(commercial) / $199 (academic) / Free (student) | Proprietary | C/C++ based numerical computing and graphical plotting[1] |
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| Data Analyser MadArtSoft | MadArtSoft Ltd. | 2011 | 2011 | 1.2 / 2011 | Not free | Proprietary | Numeric computation for business featuring. import data from any data source. Cube OLAP, generate reports, predictions, forecasts. |
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| DADiSP | DSP Development | 1984 | 1986 | 6.5 / 2010 | $1995 (commercial) / $129 (academic) / Free (student) | Proprietary | Numeric computations for science and engineering featuring a spreadsheet like interface. |
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| Euler Math Toolbox | R. Grothmann | 1987 | 1988 | 9.4 / 2010 | Free | GPL | Also a computer algebra system through interface with Maxima |
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| Fityk | M. Wojdyr | | 2002 | 1.0.1 / 2011 | $115 (1.x binaries) / Free (source code and 0.x binaries) | GPL | interactive graphics, scriptable, specialized in curve fitting and peak fitting, 2D only |
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| FreeMat | Samit Basu | | | 4.1 / November 28, 2011 | Free | GPL | Codeless interface to external C, C++, and Fortran code. Mostly compatible with MATLAB. |
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| GAUSS | Aptech Systems | | 1984 | 12 / October 2011 | Not free | Proprietary | mainly used in econometrics |
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| IGOR Pro | WaveMetrics | 1986 | 1988 | 6.03A / 2008 | $550 (commercial) / $395 (academic) / $85 (student) | Proprietary | interactive graphics, programmable, 2D/3D, used for science and engineering, large data sets. |
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| J | Jsoftware | 1989 | 1990 | 7.0.1 / 2/1/2011 | Free | GPL | online access to: J Application Library (JAL) |
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| jBEAM | AMS | 1998 | 1999 | 6.4 / 2010 | $500 (basic) / $3950 (professional) / $10 (student) | Proprietary | mathematics, interactive graphics 2D/3D, scriptable, used for science and engineering, very large data sets, desktop or client/server, open Java framework |
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| JHepWork | S.Chekanov (jwork.org) | 2005 | 2005 | 3.3 / 2012 | Free | Free for non-commercial use | mathematics, symbolic calculations, algebra, data analysis, data mining, interactive 2D/3D graphics, Java scriptable, used for science and engineering, Cross-platform (written in Java) |
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| Julia | Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and other [2] contributors | 2009 | 2011 | Daily builds (2012) | Free | MIT License | Open source language and environment for scientific computing. Direct calls of C functions from code (no wrappers or special APIs needed). Designed for cloud parallel computing in mind with LLVM JIT as a backend. Lightweight "green" threading (coroutines). Efficient support for Unicode. Powerful shell-like capabilities for managing other processes. Lisp-like macros and other metaprogramming facilities. |
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| LabVIEW | National Instruments | | 1985 | 2010 / August 2010 | $1249 (commercial) / $79.95 (student) | Proprietary | Graphical and textual (.m file script) programming approaches |
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| Maple | Maplesoft | 1980 | 1982 | 14 / 2010 | $2275 (commercial) / $99 (student) | Proprietary | Mainly a computer algebra system |
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| Mathcad | Parametric Technology Corporation | 1985 | 1986 | 14.0 / February 12, 2007 | $1195 (commercial) / $99 (student) | Proprietary | Mainly a computer algebra system |
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| Mathematica | Wolfram Research | 1986 | 1988 | 9.0.0 / November 2012 | $2495 (commercial) / $145 (student) / $295 (personal)[3] | Proprietary | also computer algebra system |
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| MATLAB | MathWorks | the late 1970s | | R2012b / September 11, 2012 | $2150 (commercial) / $99 (student) | Proprietary | Numerical computation and simulation with extended 2D/3D visualization, mainly used by engineers. |
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| Maxima | | | 1982 | 5.28.0 / 27 August 2012 | Free | GPL | Mainly a computer algebra system |
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| GNU Data Language | Marc Schellens | | 2004 | 0.9.1 / 2011 | Free | GPL | aimed as a drop-in replacement for IDL/PV-WAVE |
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| GNU Octave | John W. Eaton | 1988 | 1993 | 3.6.3 / September 4, 2012 | Free | GPL | General numerical computing package with lots of extension modules. Syntax mostly compatible with MATLAB |
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| Origin | OriginLab | | 1991 | 8.0 SR4 / 2008 | $500 (academic) / $700 (Pro ver., academic) / $50 (Pro ver. student) | Proprietary | interactive graphics, programmable, 2D/3D, used for science and engineering, large data sets. |
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| Perl Data Language | Karl Glazebrook | late 1990s | c. 1997 | 2.4.10 / 2012 | Free | Artistic License | Used for astrophysics, solar physics, oceanography, biophysics, and simulation. 2D plotting via PGPLOT, PLPlot bindings; 3D via GL. |
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| R | R Foundation | 1997 | 1997 | 2.15.3 / March 01, 2013 | Free | GPL | Primarily for statistics, but there are many interfaces to open-source numerical software |
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| Sage | William Stein | | 2005 | 5.3 / September 8, 2012 | Free | GPL | Programmable, includes computer algebra, 2D+3D plotting. Interfaces to many open-source software. Web based interface HTTP or HTTPS |
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| S-Lang | John E. Davis | | 1992 | 2.2.0 / 2009 | Free | GPL, Artistic License (1.x only) | Available as a standalone (slsh) and embedded interpreter (jed, slrn, ...) |
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| Scilab | Scilab Enterprises Was:Inria | 1990 | 1994 | 5.4.0 / October 1, 2012 | Free | CeCILL license | Open source, community supported. Programmable, direct support of 2D+3D plotting. Interfaces to many other software packages. Interfacing to external modules written in C, Ada or other languages. Language syntax similar to MATLAB. Used for numerical computing in engineering and physics. |
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| SimplexNumerica | Dipl.-Phys.-Ing. Ralf Wirtz | | 1986 | 9.0 / 2011 | Free | Proprietary | interactive graphics, 2D/3D render engine, used for science and engineering, Excel im-/export. |
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| Sysquake | Calerga | | 1998 | 4.1 / 2008 | $250 / $2500 (Pro, commercial) / $1000 (Pro, academic) / free (LE) | Proprietary | interactive graphics |
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| TK Solver | Universal Technical Systems, Inc. | late 1970s | 1982 | 5.0.141 / 2011 | $399 commercial / $49 (student) | Proprietary | Numerical computation and rule-based application development |
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| Vcmaster | Veith Christoph GmbH | 1996 | ? | 02012-01-012012 (2012.05) | €800, free student version | Proprietary | documentation and calculation program |
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| VisSim | Visual Solutions | | 1989 | 7.0a / 2008 | $495-$2800 (commercial)
free view only version
$50-$250/free v3.0 (academic) | Proprietary | Visual Language for simulation and Model Based Design. Used in business, science and engineering. Performs complex scalar or matrix based ODE solving with parametric optimization. Has 2D and 3D plotting, 3D animation, and state transition built in. |
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| Yorick | n/a | n/a | n/a | 2.1.06 / 17 April 2010 | Free | GPL | Open source. Programmable, callable 2D+3D plotting. Language syntax similar to C. Interfacing to other software packages via C calls. |
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