A portable, multi-platform, command-line driven graphing utility
A famous scientific plotting package, features include 2D and 3D plotting, a huge number of output formats, interactive input or script-driven options, and a large set of scripted examples.
Computer Algebra System written in Common Lisp
Maxima is a computer algebra system comparable to commercial systems like Mathematica and Maple. It emphasizes symbolic mathematical computation: algebra, trigonometry, calculus, and much more. For example, Maxima solves x^2-r*x-s^2-r*s=0 giving the symbolic results [x=r+s, x=-s]. Maxima can calculate with exact integers and fractions, native floating-point and high-precision big floats. Maxima has user-friendly front-ends, an on-line manual, plotting commands, and numerical libraries. Users can write programs in its native programming language, and many have contributed useful packages in a variety of areas over the decades. Maxima is GPL-licensed and largely written in Common Lisp. Executables can be downloaded for Windows, Mac, Linux, and Android; source code is also available. An active community maintains and extends the system. Maxima is widely used: annual direct downloads exceed 300,000. Many other users receive it through secondary distribution.
A cross-platform statistical package for econometric analysis
gretl is a cross-platform software package for econometric analysis, written in the C programming language.
SciDAVis is a user-friendly data analysis and visualization program primarily aimed at high-quality plotting of scientific data. It strives to combine an intuitive, easy-to-use graphical user interface with powerful features such as Python scriptability.
JAGS is Just Another Gibbs Sampler. It is a program for the statistical analysis of Bayesian hierarchical models by Markov Chain Monte Carlo.
Fast C++ matrix library with easy to use functions and syntax, deliberately similar to Matlab. Uses template meta-programming techniques. Also provides efficient wrappers for LAPACK, BLAS and ATLAS libraries, including high-performance versions such as OpenBLAS and Intel MKL. Useful for machine learning, pattern recognition, signal processing, bioinformatics, statistics, finance, etc. For more details, see http://arma.sourceforge.net
Cross platform GUI for Maxima
wxMaxima is a cross-platform graphical front-end for the computer algebra system Maxima based on wxWidgets. It provides nice display of mathematical output and easy access to Maxima functions through menus and dialogs.
Mixed Integer Linear Programming (MILP) solver
Mixed Integer Linear Programming (MILP) solver lp_solve solves pure linear, (mixed) integer/binary, semi-cont and special ordered sets (SOS) models.lp_solve is written in ANSI C and can be compiled on many different platforms like Linux and WINDOWS
Open tool platform for the cost effective rigorous development of dependable complex software systems services. This platform is based on the event-B formal method and provides natural support for refinement and mathematical proof.
For exploring cellular automata like the Game of Life.
A cross-platform application for exploring Conway's Game of Life and other cellular automata. Features include bounded and unbounded universes, fast generating algorithms, Lua/Python scripting, and a state-of-the-art pattern collection.
CLISP is a portable ANSI Common Lisp implementation and development environment by Bruno Haible. Interpreter, compiler, debugger, CLOS, MOP, FFI, Unicode, sockets, CLX. UI in English, German, French, Spanish, Dutch, Russian, and Danish.
ATLAS (Automatically Tuned Linear Algebra Software) provides highly optimized Linear Algebra kernels for arbitrary cache-based architectures. ATLAS provides ANSI C and Fortran77 interfaces for the entire BLAS API, and a small portion of the LAPACK AP
LaTeX to RTF convertor that handles equations, figures, and cross-refe
Latex2rtf tries to convert your LaTeX file into a RTF file for opening in Microsoft Word. The general idea is to try and get the things that computers are good at correct: character conversion, graphic conversion, etc. Page layout suffers because control in RTF is pretty pathetic compared to TeX. Consequently, it is likely that manual reformatting will be needed. Translation of bibliographies is pretty good and a wide range of styles are handled, but you must typeset your LaTeX file to create the needed .aux and .bbl files first. Translation of equations used to be excellent: it used to be possible to double-click equations in Word and then edit with MathType. Unfortunately, this conversion in Word has gotten progressively worse over the years (I changed nothing!). Unfortunately, the only solution is to converting to MTEF objects, which is a major rewrite (but would make OpenOffice users much happier.) Volunteers welcome!
SOFA is a statistics, analysis, and reporting program with an emphasis on ease of use, learn as you go, and beautiful output.
General Mission Analysis Tool
Do you want to go to Mars but don't know when to leave or how much to bring? Do you want to study Earth protection by planning a mission to a near-Earth asteroid? The General Mission Analysis Tool (GMAT) is an open-source space mission design tool to help you answer these and many other space flight challenges. GMAT is developed by a team of NASA, private industry, and public and private contributors. The GMAT development team is pleased to announce the release of GMAT version R2017a. For a complete list of new features, compatibility changes, and bug fixes, see the Release Notes. Below are just some of the new capabilities contained in this release. • New navigation data types • Preliminary Kalman filter • STK ephemeris propagation • Utility for managing data files (EOP etc.) • Collocation library • Preliminary API interface • Second level editing of navigation data
NETGEN is an automatic 3d tetrahedral mesh generator
NETGEN is an automatic 3d tetrahedral mesh generator. It accepts input from constructive solid geometry (CSG) or boundary representation (BRep) from STL file format. The connection to a geometry kernel allows the handling of IGES and STEP files. NETGEN contains modules for mesh optimization and hierarchical mesh refinement. Netgen is open source based on the LGPL license. It is available for Unix/Linux and Windows.
Real-time interactive fractal zoomer
Real-time interactive fractal zoomer. Home Page: http://xaos.sf.net/ GitHub: - Source https://github.com/xaos-project/XaoS - Issues: https://github.com/xaos-project/XaoS/issues - Wiki: https://github.com/xaos-project/XaoS/wiki Discussion Groups: - Users: http://groups.google.com/group/xaos-users - Developers: https://groups.google.com/forum/#!forum/xaos-devel
Open source finite element software for multiphysical problems
Elmer is a finite element software for numerical solution of partial differential equations and multiphysical problems. It includes models of structural mechanics, fluid dynamics, heat transfer, electromagnetics etc. Elmer home is www.csc.fi/elmer
GraphCalc is a very gui graphing calculator. It has been called a good replacement for a TI-85. It is a must for any high school math student.
A Fast Fourier Transform based up on the principle, "Keep It Simple, Stupid." Kiss FFT is a very small, reasonably efficient, mixed radix FFT library that can use either fixed or floating point data types.
2D & 3D TeX-Aware Vector Graphics Language
Asymptote is a powerful descriptive vector graphics language for technical drawing, inspired by MetaPost but with an improved C++-like syntax. Asymptote provides for figures the same high-quality typesetting that LaTeX does for scientific text.
A symbolic framework for C++, Python and Octave implementing automatic differentiation by source code transformation in forward and reverse modes on sparse matrix-valued computational graphs.
System Stability Tester is a multi platform open source clone of SuperPI and comes with a GUI and a CLI. It can be used for CPU and RAM burning, stressing and benchmarking.
A Mathematics Equation Editor. Lets you type in equations, which can be added to documents, emails, and webpages or simply exported to picture files. It features a simple graphical interface, equation list management, MathML support, and the unique feature "Mathcasting" for adding math to XHTML.
A free, industrial quality library for simulating articulated rigid body dynamics - for example ground vehicles, legged creatures, and moving objects in VR environments. It's fast, flexible & robust. Built-in collision detection.