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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:

  • 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.
  • Baudline is a time-frequency browser for numerical signals analysis and scientific visualization.
  • 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.
  • 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.
  • FreeMat, an open-source MATLAB-like environment with a GPL license.
  • 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 Octave can generally run scripts written for recent version of MATLAB; has an active user community. (free software, GNU GPL license).
  • 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.
  • IML++ is a C++ library for solving linear systems of equations, capable of dealing with dense, sparse, and distributed matrices.
  • IMSL Numerical Libraries are libraries of numerical analysis functionality implemented in standard programming languages like C, Java, C# .NET, and Fortran.
  • IMTEK Mathematica Supplement is an open source (GNU GPL license) collection of tutorials and packages for numerical calculations.
  • IT++ is a C++ library for linear algebra (matrices and vectors), signal processing and communications. Functionality similar to MATLAB and Octave.
  • 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. Its text-based programming language MathScript provides some compatibility with MATLAB.
  • 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, COMSOL Script, FreeMat, GNU Octave, LabVIEW (in MathScript blocks), O-Matrix, Rlab, Scilab, and Sysquake.
  • NCAR Command Language is an interpreted language designed specifically for scientific data analysis and visualization.
  • O-Matrix
  • 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.
  • The Ox programming language is a proprietary programming language with a mathematical and statistical function library.
  • 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).
  • 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.
  • 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.

See also

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