The dozenal suite is a set of programs designed to assist with working in the dozenal (also called "duodecimal" or "base twelve") system. It includes number converters (dozenal-to-decimal and decimal-to-dozenal), an RPN calculator, a graphical calculator, a metric system converter (works with imperial, U.S. customary, SI metric, and the dozenal TGM), a pretty-printer for dozenal numbers, a date-and-time program, and a dozenal calendar programs, complete with events and to-dos.

Bonmin is a code for solving general MINLP (Mixed Integer NonLinear Programming) problems. It builds on top of Cbc and Ipopt.

Wcalc is a very capable calculator. It has standard functions (sin, asin, and sinh for example, in either radians or degrees), many pre-defined constants (pi, e, c, etc.), support for using variables, "active" variables, a command history, hex/octal/binary input and output, unit conversions, embedded comments, and an expandable expression entry field. It evaluates expressions using the standard order of operations.

GNU XaoS is a graphical program that generates fractal patterns and allows you to zoom in and out of them infinitely in a fluid, continuous manner. It also includes tutorials that help to explain how fractals are built. It can generate many different fractal types such as the Mandelbrot set.

Calc is an arbitrary precision arithmetic system that uses a C-like language. It can be used as a calculator, an algorithm prototyper and as a mathematical research tool, and it comes with built in mathematical and programmatic functions.

This package contains a set of routines for computing the LDL' factorization of sparse, symmetric matrices. Its focus lies on concise code.

HDF4 is a library and multi-object file format for storing and managing data between machines. HDF4 is an older hierarchical data format, incompatible with HDF5.

Mongoose is a library for graph partitioning by computing edge cuts using a coarsening and refinement framework.

The ELPA library provides efficient and scalable direct eigensolvers for symmetric matrices.

Elemental is a modern C++ library for distributed-memory dense and sparse-direct linear algebra, conic optimization, and lattice reduction.

GNU Octave is a high-level interpreted language that is specialized for numerical computations. It can be used for both linear and non-linear applications and it provides great support for visualizing results. Work may be performed both at the interactive command-line as well as via script files.

LAPACK is a Fortran 90 library for solving the most commonly occurring problems in numerical linear algebra.

Armadillo is a C++ linear algebra library, aiming towards a good balance between speed and ease of use. It is useful for algorithm development directly in C++, or quick conversion of research code into production environments. It can be used for machine learning, pattern recognition, signal processing, bioinformatics, statistics, econometrics, etc. The library provides efficient classes for vectors, matrices and cubes, as well as 150+ associated functions (e.g., contiguous and non-contiguous submatrix views).

GNU JACAL is an interactive symbolic mathematics program based on Scheme. It manipulate and simplify a range of mathematical expressions such as equations, scalars, vectors, and matrices.

More than 1500 numerical integration schemes for line segments, circles, disks, triangles, quadrilaterals, spheres, balls, tetrahedra, hexahedra, wedges, pyramids, n-spheres, n-balls, n-cubes, n-simplices, and the 1D/2D/3D/nD spaces with weight functions exp(-r) and exp(-r2) for fast integration of real-, complex-, and vector-valued functions.

Cbc (Coin-or branch and cut) is a mixed integer linear programming solver written in C++. It can be used as a library or as a standalone executable.

This package provides a Cython interface to the C++ library primecount.

nauty (No AUTomorphisms, Yes?) is a set of procedures for computing automorphism groups of graphs and digraphs.

nauty computes graph information in the form of a set of generators, the size of the group, and the orbits of the group; it can also produce a canonical label. The nauty suite is written in C and comes with a command-line interface, a collection of command-line tools, and an Application Programming Interface (API).

This package provides the static libraries required to run programs compiled against the nauty library.

SLEPc is a software library for the solution of large sparse eigenproblems on parallel computers. It can be used for the solution of linear eigenvalue problems formulated in either standard or generalized form, as well as other related problems such as the singular value decomposition. The emphasis of the software is on methods and techniques appropriate for problems in which the associated matrices are sparse, for example, those arising after the discretization of partial differential equations.

This package provides a C++ implementation of the Louvain community detection algorithm.

DUNE, the Distributed and Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports the easy implementation of methods like Finite Elements (FE), Finite Volumes (FV), and also Finite Differences (FD).

This package contains the basic DUNE geometry classes.

SLEPc, the Scalable Library for Eigenvalue Problem Computations, is based on PETSc, the Portable, Extensible Toolkit for Scientific Computation. It employs the MPI standard for all message-passing communication. slepc4py provides Python bindings to almost all functions of SLEPc.

Metamath is a tiny formal language and that can express theorems in abstract mathematics, with an accompyaning metamath executable that verifies databases of these proofs. There is a public database, set.mm, implementing first-order logic and Zermelo-Frenkel set theory with Choice, along with a large swath of associated, high-level theorems, e.g.: the fundamental theorem of arithmetic, the Cauchy-Schwarz inequality, Stirling's formula, etc. See the Metamath book.

muParser is an extensible high performance math parser library. It is based on transforming an expression into a bytecode and precalculating constant parts of it.