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List of numerical analysis software

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Listed here are a number of computer programs used for performing numerical calculations:

Baudline is a time-frequency browser for numerical signals analysis and scientific visualization.
DADiSP is a commercial program focused on DSP that combines the numerical capability of MATLAB with a spreadsheet like interface.
Expensive Desk Calculator (historical), written for the TX-0 and PDP-1 in the late 1950s or early 1960s.
GAUSS
IDL programming language, a commercial interpreted language based on FORTRAN with some vectorization. Widely used in the solar physics and medical communities. A free alternative is available:
- GNU data language, a free compiler designed as a drop-in replacement for IDL.
IGOR Pro, a software package with emphasis on time series and image analysis, and curve fitting. It comes with its own programming language but can also be used interactively.
IMSL Numerical Libraries are libraries of numerical analysis functionality implemented in standard programming languages like C, Java, C# .NET, and Fortran.
Origin, a software package that is widely used for making scientific graphs. It comes with its own C/C++ compiler that conforms quite closely to ANSI standard.
IMTEK Mathematica Supplement is an open source (GNU GPL license) collection of tutorials and packages for numerical calculations.
JScience, an open-source (multiple licenses) Java API for performing numerical calculations and data storage among other things.
LabVIEW offers both textual and graphical programming approaches to numerical analysis.
Mathcad offers a WYSIWYG interface and the ability to generate publication-quality mathematical equations.
Mathematica offers numerical evaluation, optimization and visualization of a very wide range of numerical functions. It also includes a programming language and computer algebra capabilities.
MATLAB is a widely used program for performing numerical calculations. It comes with its own programming language, in which numerical algorithms can be implemented. Several programs use a similar syntax:
- acslXtreme (AKA acslX, formerly ACSL) is a simulation development and analysis environment for systems modeled by nonlinear differential equations using the Advanced Continuous Simulation Language; it includes a MATLAB-compatible analysis language
- COMSOL Script for numerical computations and interactive partial differential equation solving with the finite element method; uses MATLAB-compatible syntax. Optionally connects to COMSOL Multiphysics.
- FreeMat, an open-source MATLAB-like environment with a GPL license.
- GNU Octave can generally run scripts written for recent version of MATLAB; has an active user community. (free software, GNU GPL license).
- LabVIEW includes MathScript, text-based programming that utilizes m-file script syntax for signal processing, analysis and mathematics.
- Rlab is another free software program which bears a strong resemblance to MATLAB. Rlab development ceased for several years but it was revived as RlabPlus.
- Scilab is distributed with source (under their own license, which is not approved by the Open Source Initiative).
- Sysquake is a computing environment with interactive graphics for mathematics, physics and engineering. Like other applications from Calerga, it is based on a MATLAB-compatible language.
NCAR Command Language is an interpreted language designed specifically for scientific data analysis and visualization.
O-Matrix
Ox programming language
Perl Data Language, also known as PDL, an array extension to Perl ver.5, used for data manipulation, statistics, numerical simulation and visualization.
Portable, Extensible Toolkit for Scientific Computation (PETSc), is a suite of data structures and routines for the scalable (parallel) solution of scientific applications modeled by partial differential equations.
Python programming language:
- NumPy, a library that adds support for the manipulation of large, multi-dimensional arrays and matrices; it also includes a large collection of high-level mathematical functions
- SciPy, a library of scientific tools, package includes NumPy
- matplotlib, a MATLAB-like plotting library.
- PyNGL is used to analyze and visualize scientific data, with an emphasis on high quality 2D visualizations.
R is a widely used system with a focus on data manipulation and statistics. Several hundred freely downloadable specialized packages are available (free software, GNU GPL license).
Trilinos, an effort to develop scalable (parallel) solver algorithms and libraries within an object-oriented software framework for the solution of large-scale, complex multi-physics engineering and scientific applications. A unique design feature of Trilinos is its focus on packages.
TK Solver — Built-in interative solver and extensive library of standard numerical methods.
XNUMBERS — Multi Precision Floating Point Computing and Numerical Methods for EXCEL.
Yorick is an interpreted programming language designed for numerics, graph plotting and simulation.