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Maximaは、ほぼ完成されたコンピュータ代数システムです。 数式処理に重点が置かれており、Lispで書かれています。 米国エネルギー省の MACSYMA から派生し、GPLでライセンスされています。 数式の積分、三次元プロット、常微分方程式を解くといった機能があります。

mcrypt(および付属のlibmcryptライブラリ)は、古いUnixの暗号化手法の代替を目指していますが、ライセンスはGPLとし、アルゴリズムとモードはかつてよりも広範囲なサポートを行うことを意図しています。

APBSは、広範囲な長さのスケールの分子溶質間の静電相互作用をを記述する連続体モデルのための、ポアソン・ボルツマン方程式の数値解法のソフトウェアパッケージです。http://apbs.sf.net/

GNU TeXmacs is a free wysiwyw (what you see is what you want) editing platform with special features for scientists. The software aims to provide a unified and user friendly framework for editing structured documents with different types of content: text, mathematics, graphics, interactive content. TeXmacs can also be used as an interface to many external systems for computer algebra, numerical analysis, and statistics. New presentation styles can be written by the user and new features can be added to the editor using Scheme.

wxMaximaは、コンピュータ代数システム「Maxima」のwxWidgetsによるクロスプラットフォームでグラフィカルなフロントエンドです。見映えのする数学的な出力の表示と、メニューとダイアログを通じたMaximaの機能への簡単なアクセスを提供します。

gnuplotは、科学技術分野においてよく知られた関数のプロットや数値データのプロットなどを行うパッケージです。

Developing multi-platform and international edition of ISO Full BASIC.

Armadillo is a C++ linear algebra library (matrix maths) aiming towards a good balance between speed and ease of use. The API is deliberately similar to Matlab's. Integer, floating point, and complex numbers are supported, as well as a subset of trigonometric and statistics functions. Various matrix decompositions are provided through optional integration with LAPACK and ATLAS numerics libraries. A delayed evaluation approach, based on template meta-programming, is used (during compile time) to combine several operations into one and reduce or eliminate the need for temporaries.

lp_solveは、混合整数線形計画法 (Mixed Integer Linear Programming, MILP)のソルバーであり、純粋な線形、(混合)整数／バイナリ、半連続、特別な指示によるセット(SOS)モデルなどへ解を与えます。lp_solveは、ANSI Cで記述され、LinuxやWindowsのような多くの異なるプラットフォーム上でコンパイルすることができます。

R is a language and environment for statistical computing and graphics. It is similar to S, which was developed at Bell Laboratories by John Chambers et al. It provides a wide variety of statistical and graphical techniques (linear and nonlinear modelling, statistical tests, time series analysis, classification, clustering, etc.). R is designed as a true computer language with control-flow constructions for iteration and alternation, and it allows users to add additional functionality by defining new functions. For computationally intensive tasks, Fortran and C code can be linked and called at run time.

FFTW is a fast C FFT library. It includes complex, real, symmetric, multidimensional, and parallel transforms, and can handle arbitrary array sizes efficiently.It is typically faster than other freely available FFT implementations, and is even competitive with vendor-tuned libraries (benchmarks are available at the homepage). To achieve this performance, it uses novel code generation and runtime self optimization techniques (along with many other tricks).

GNU CLISP is an ANSI Common Lisp implementation with an interpreter, compiler, debugger, object system (CLOS, MOP), sockets, fast bignums, arbitrary precision floats, and a foreign language interface that runs on most Unix variants and Win32.

MathGL is a library for making high-quality scientific graphics under Linux and Windows, fast data plotting and handling of large data arrays, working in window and console modes, and easily embedding into other programs. It has more than 40 general types of graphics for 1d, 2d, and 3d data arrays. It can export graphics to raster and vector (EPS or SVG) formats. It has an OpenGL interface and can be used from console programs. It has functions for data handling and MGL language scripting for simplification of data plotting. It has several types of transparency and smoothed lightning, vector fonts and TeX-like formula drawing, an arbitrary curvilinear coordinate system, and many other useful things.