Aris is a program for performing logical proofs. It supports propositional and predicate logic, as well as Boolean algebra and arithmetical logic. In addition to its predefined inference and equivalence rules, Aris also supports references to older proofs. Its use of standard logical symbols and its natural deduction interface make it easy to use for beginners.

reduceLCS is an implementation of the Reduce-Expand algorithm for LCS. It is a fast program to compute the approximate Longest Commons Subsequence of a set of strings.

SPEX is a set of routines for sparse exact linear algebra. It contains the SPEX Left LU library for computing a sparse exact left-looking LU factorization for solving unsymmetric sparse linear systems.

CAMD is a set of routines for ordering a sparse matrix prior to Cholesky factorization (or for LU factorization with diagonal pivoting). It is a variant of AMD which has the the option to apply constraints to the ordering.

GNU Units converts numeric quantities between units of measure. It can handle scale changes through adaptive usage of standard scale prefixes (micro-, kilo-, etc.). It can also handle nonlinear conversions such as Fahrenheit to Celsius. Its interpreter is powerful enough to be used effectively as a scientific calculator.

pagmo is a C++ scientific library for massively parallel optimization. It is built around the idea of providing a unified interface to optimization algorithms and to optimization problems and to make their deployment in massively parallel environments easy.

This package provides a parser for the BTOR2 format used by Boolector.

This package provides a command-line interface to Mathics3.

GLPK is a C library for solving large-scale linear programming (LP), mixed integer programming (MIP), and other related problems. It supports the GNU MathProg modeling language, a subset of the AMPL language, and features a translator for the language. In addition to the C library, a stand-alone LP/MIP solver is included in the package.

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).

GKlib is a library of various helper routines and frameworks used by software from KarypisLab, such as METIS.

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.

Maxima is a system for the manipulation of symbolic and numerical expressions. It yields high precision numeric results by using exact fractions, arbitrary precision integers, and variable precision floating point numbers. This package variant uses ECL as the underlying Lisp implementation.

TypeTree is a template library for constructing and operating on statically typed trees of objects.

The C-library cddlib implements the Double Description Method of Motzkin et al. for generating all vertices (i.e. extreme points) and extreme rays of a general convex polyhedron given by a system of linear inequalities in arbitrary dimension. It can also be used for the converse operation of computing convex hulls.

SCOTCH is a set of programs and libraries which implement the static mapping and sparse matrix reordering algorithms developed within the SCOTCH project. Its purpose is to apply graph theory, with a divide and conquer approach, to scientific computing problems such as graph and mesh partitioning, static mapping, and sparse matrix ordering, in application domains ranging from structural mechanics to operating systems or bio-chemistry.

Vc provides portable, zero-overhead C++ types for explicitly data-parallel programming. It is a library designed to ease explicit vectorization of C++ code. Its types enable explicitly stating data-parallel operations on multiple values. The parallelism is therefore added via the type system. Vc has an intuitive API and provides portability between different compilers and compiler versions as well as portability between different vector instruction sets. Thus, an application written with Vc can be compiled for:

1. AVX and AVX2

2. SSE2 up to SSE4.2 or SSE4a

3. Scalar

4. MIC

5. NEON (in development)

6. NVIDIA GPUs / CUDA (in development)

The CLAPACK library was built using a Fortran to C conversion utility called f2c. The entire Fortran 77 LAPACK library is run through f2c to obtain C code, and then modified to improve readability. CLAPACK's goal is to provide LAPACK for someone who does not have access to a Fortran compiler.

SUNDIALS is a family of software packages implemented with the goal of providing robust time integrators and nonlinear solvers that can easily be incorporated into existing simulation codes.

The Zoltan library is a collection of data management services for parallel, unstructured, adaptive, and dynamic applications. It simplifies the load-balancing, data movement, unstructured communication, and memory usage difficulties that arise in dynamic applications such as adaptive finite-element methods, particle methods, and crash simulations. Zoltan's data-structure neutral design also lets a wide range of applications use it without imposing restrictions on application data structures. Its object-based interface provides a simple and inexpensive way for application developers to use the library and researchers to make new capabilities available under a common interface.

HDF-EOS2 is a software library built on HDF4 which supports the construction of data structures used in NASA's Earth Observing System (Grid, Point and Swath).

TypeTree is a template library for constructing and operating on statically typed trees of objects.

SCOTCH is a set of programs and libraries which implement the static mapping and sparse matrix reordering algorithms developed within the SCOTCH project. Its purpose is to apply graph theory, with a divide and conquer approach, to scientific computing problems such as graph and mesh partitioning, static mapping, and sparse matrix ordering, in application domains ranging from structural mechanics to operating systems or bio-chemistry.

The p4est software library enables the dynamic management of a collection of adaptive octrees, conveniently called a forest of octrees. p4est is designed to work in parallel and scales to hundreds of thousands of processor cores.