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List of numerical analysis software
From Wikipedia, the free encyclopedia
Listed here are a number of computer programs used for performing numerical calculations:
- ADMB is a software suite for non-linear statistical modeling based on C++ which uses automatic differentiation.
- acslX is a software application for modeling and evaluating the performance of continuous systems described by time-dependent, nonlinear differential equations.
- AIMMS is a general mathematical modeling language that offers various solver programs for linear, nonlinear and other mathematical programs. It uses specially designed sparse data structures to assure fast execution and calculation on multi-dimensional data.
- AMPL is a mathematical modeling language for describing and solving high complexity problems for large scale optimization.
- APL (programming language) is a language designed for array manipulation that is used for a wide variety of scientific, engineering, and actuarial analysis.
- Apophenia is a C library, based on the GSL (below), that provides functions and structures on the level of data sets and statistical models.
- Armadillo is a C++ linear algebra library (matrix and vector maths), aiming towards a good balance between speed and ease of use.
- ASCEND is a free/open-source general mathematical modelling language and solver program for nonlinear systems of equations and systems of differential-algebraic equations.
- Baudline is a time-frequency browser for numerical signals analysis and scientific visualization.
- CC4 is version 4 of the Calculus Calculator. CC4 includes matrices and infinite precision arithmetic. It was developed in the Department of Mathematics at San Francisco State University.
- Colt provides a set of Open Source Libraries for High Performance Scientific and Technical Computing in Java.
- 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.
- deal.II is an open-source library for the computational solution of PDE problems using adaptive continuous or discontinuous finite elements.
- dlib C++ Library is a toolkit that brings MATLAB style syntax and BLAS support together in a coherent way.
- dnAnalytics is an open-source numerical library for .NET written in C# and F#.
- EJS is an open source software tool, written in Java, for generating simulations.
- Euler (software) EULER is a powerful numerical laboratory with a programming language that can handle real, complex and interval numbers, vectors and matrices. It can produce 2D/3D plots.
- Expensive Desk Calculator (historical), written for the TX-0 and PDP-1 in the late 1950s or early 1960s.
- Fawlty Language is a freely usable IDL clone (closed source)
- FEniCS Project is a collection of project for automated solutions to PDEs.
- FlexPro is a commercial program for interactive and automated analysis and presentation of mainly measurement data. It supports many binary instrument data formats and has its own vectorized programming language.
- Frink, a programming language and calculating tool which tracks units of measure through all calculations.
- FreeMat, an open-source MATLAB-like environment with a GPL license.
- GAUSS, a matrix programming language for mathematics and statistics.
- GNU data language, a free compiler designed as a drop-in replacement for IDL.
- GNU Octave can generally run scripts written for recent versions of MATLAB; has an active user community. (free software, GNU GPL license).
- GNU Scientific Library, a popular, free numerical analysis library for C and C++.
- GNU Multi-Precision Library is a library for doing arbitrary precision arithmetic.
- gretl has a built-in matrix programming language
- Hermes Project: C/C++/Python library for rapid prototyping of space- and space-time adaptive hp-FEM solvers.
- IDL (programming language), a commercial interpreted language based on FORTRAN with some vectorization. Widely used in the solar physics, atmospheric sciences and medical communities. The GNU data language is a free alternative.
- IGOR Pro, a software package with emphasis on time series, image analysis, and curve fitting. It comes with its own programming language and can be used interactively.
- ILNumerics.Net typesafe numerical array classes and functions for general math and linear algebra, aims .NET/mono, script-like syntax in C#, 2D & 3D plot controls
- 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.
- JAMA, a numerical linear algebra toolkit for the Java programming language
- JScience, an open-source (multiple licenses) Java API for performing numerical calculations and data storage among other things.
- jLab, a research platform for building an open source Matlab-like environment in pure Java. Currently supports interpreted j-Scripts (Matlab-like), compiled GroovySci (extension to Groovy) scripts, direct interfacing to Java code and scripting access to many popular Java scientific libraries (e.g. WEKA, JSci, NUMAL) and application Wizards, project page: [[1]]
- JMNumerics is a Numerical Library for .NET written in C#. It provides routines for: Linear Algebra, Differential Equations and Optimization.
- LabVIEW offers both textual and graphical programming approaches to numerical analysis. Its text-based programming language MathScript utilizes .m file script syntax providing some compatibility with MATLAB, COMSOL Script, FreeMat, GNU Octave, O-Matrix, Rlab, Scilab, and Sysquake.
- LAPACK++, a C++ wrapper library for LAPACK and BLAS
- Lis is a scalable parallel library for solving linear equations and eigenvalue problems using sparse iterative methods.
- Lush is an object-oriented programming language based on LISP for large-scale numerical and graphic applications.
- Macsyma, a general-purpose computer algebra system, which has a free GPL-licensed version called Maxima.
- Maple, a general-purpose commercial mathematics software package.
- Mathcad offers a WYSIWYG interface and the ability to generate publication-quality mathematical equations.
- Mathemagix, is an open source (GNU GPL license) general-purpose mathematics software package.
- 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: COMSOL Script, FreeMat, GNU Octave, LabVIEW (in MathScript blocks), O-Matrix, Rlab, Scilab, and Sysquake.
- Mathnium *[2] is a program for numerical computing, data analysis, and graphics. Its syntax is similar to Matlab. It is written in Java and provides very simple mechanisms for using and extending existing Java classes, and implementing Java interfaces. It can therefore also be used for rapid prototyping of Java applications as well as Java Swing/AWT GUIs.
- MCSim a Monte Carlo simulation tool.
- MDynaMix is a general purpose molecular simulation package.
- Meta.Numerics is an object-orientic library for numerical scientific computation on the .NET platform. Its functionality includes matrix operations, advanced functions of real and complex numbers, and statistical analysis.
- NA WorkSheet is a collective aggregation of algorithms coded in Java that implements various Numerical Analysis solutions/techniques in one easy to use opensource tool.
- NAG Numerical Libraries are implementations (for a wide variety of platforms) of a software library of numerical analysis routines, which can be called from user applications.
- NCAR Command Language is an interpreted language designed specifically for scientific data analysis and visualization.
- numberGo Publisher is a data analysis tool that lets you pivot and chart data, and save it as a portable document.
- Numerics Builder, is a library of numerical methods that developers can embed into their applications to provide mathematical functionality.
- 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.
- PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations.
- Pardiso is a solver for large sparse linear systems on shared memory multiprocessors.
- PAW is a free data analysis package developed at CERN.
- 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.
- PSPP, an application for statistical analysis.
- 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
- ScientificPython, a library with a different set of scientific tools
- matplotlib, a MATLAB-like plotting library.
- PyNGL is used to analyze and visualize scientific data, with an emphasis on high quality 2D visualizations.
- FiPy, a Finite Volume PDE Solver Using Python
- OpenOpt - free numerical optimization framework that connects to lots of Python, Fortran and C/C++ written solvers. BSD license allows to use it in closed-code projects.
- SAGE is a distribution of OS math software, with an unified Python interface which is available as a text interface or a graphical web-based one. Includes interfaces for Open Source and proprietary general purpose CAS, and other numerical analysis programs, like PARI/GP, GAP, gnuplot, Magma, and Maple.
- R is a widely used system with a focus on data manipulation and statistics which implements the S language. Many add-on 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.
- ROOT is a free object oriented multipurpose data analysis package, developed at CERN.
- S-Lang is an (array-based) programming language with strong numerical support.
- SALOME is a free software that provides a generic platform for pre- and post-processing for numerical simulation.
- Scilab is similar to MATLAB and Octave. (free software, GPL-compatible CeCILL license )
- Shogun, an open source Large Scale Machine Learning toolbox that provides several SVM implementations (like libSVM, SVMlight) under a common framework and interfaces to Octave, Matlab, Python, R
- Sollya, a tool environment for safe floating-point code development. It is particularly targeted to the automatized implementation of mathematical floating-point libraries.
- Starmad is a Space Mission Analysis and Design tool, intended to enable users to quickly and easily perform: 1. Preliminary Orbit Analysis, in terms of Dynamics, Geometry, Manoeuvre and Maintenance, Interplanetary Transfer, and Delta-V Budget. 2. Observation Payload Analysis, in terms of Electromagnetic Spectrum, Optics and Sizing. 3. Spacecraft Subsystems Design, considering Attitude Control, Communications, Power System, Propulsion System, Structural Analysis and Thermal Control. 4. Launch and Transfer Vehicle Information. 5. Mission Operation Complexity, from the point of view of Mission Design and Planning, Flight System Design, Operational Risk Avoidance, Ground Systems.
- 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.
- Weka is a suite of machine learning software written at the University of Waikato.
- XLfit - from IDBS - curve fitting and data analysis for EXCEL
- XNUMBERS — Multi Precision Floating Point Computing and Numerical Methods for EXCEL.
- Yorick is an interpreted programming language designed for numerics, graph plotting and simulation.
[edit] See also
- List of numerical libraries
- Comparison of numerical analysis software
- List of computer algebra systems
- List of graphing software
- List of statistical packages
