HighFive is a header-only C++11 friendly interface for libhdf5. It supports STL vector/string, Boost::UBLAS, Boost::Multi-array and Xtensor; and handles C++ from/to HDF5 with automatic type mapping. HighFive does not require additional libraries.

accupy is a Python library for accurately computing sums and (dot) products. It implements Kahan summation, Shewchuck's algorithm and summation in K-fold precision.

The Common Data Access toolbox (CODA) provides a set of interfaces for reading remote sensing data from earth observation data files. It consists of command line applications and interfaces to the C, Fortran, Python, and Java programming languages.

OpenGL Mathematics (GLM) is a header-only C++ mathematics library for graphics software based on the OpenGL Shading Language (GLSL) specifications.

OpenBLAS is a Basic Linear Algebra Subprograms (BLAS) library forked from the GotoBLAS2-1.13 BSD version.

MUMPS (MUltifrontal Massively Parallel sparse direct Solver) solves a sparse system of linear equations A x = b using Gaussian elimination.

This is a header-only C++ library for calculating analytical derivatives and taylor expansions of composite functions.

SYMPOW is a mathematical program to compute special values of symmetric power elliptic curve L-functions; it can compute up to about 64 digits of precision.

Ceres Solver is a C++ library for modeling and solving large, complicated optimization problems. It is a feature rich, mature and performant library which has been used in production since 2010. Ceres Solver can solve two kinds of problems:

1. non-linear least squares problems with bounds constraints;

2. general unconstrained optimization problems.

The Parma Polyhedra Library (PPL) provides numerical abstractions especially targeted at applications in the field of analysis and verification of complex systems. These abstractions include convex polyhedra, defined as the intersection of a finite number of (open or closed) halfspaces, each described by a linear inequality (strict or non-strict) with rational coefficients; some special classes of polyhedra shapes that offer interesting complexity/precision tradeoffs; and grids which represent regularly spaced points that satisfy a set of linear congruence relations. The library also supports finite powersets and products of (any kind of) polyhedra and grids, a mixed integer linear programming problem solver using an exact-arithmetic version of the simplex algorithm, a parametric integer programming solver, and primitives for termination analysis via the automatic synthesis of linear ranking functions.

Arccon is part of the Arcane framework, providing core functionality for the Arcane development platform.

4ti2 implements algorithms for solving algebraic, geometric and combinatorial problems on linear spaces. Among others, it solves systems of linear equations, computes extreme rays of polyhedral cones, solves integer programming problems and computes Markov bases for statistics.

Z3 is a theorem prover and satisfiability modulo theories (SMT) solver. It provides a C/C++ API, as well as Python bindings.

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.

CXSparse is a collection of sparse matrix algorithms for direct methods on both real and complex matrices.

The C code of lrslib implements the reverse search algorithm for vertex enumeration and convex hull problems. Its input file format is compatible with cddlib. All computations are done exactly in either multiple precision or fixed integer arithmetic. Output is not stored in memory, so even problems with very large output sizes can sometimes be solved.

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.

MiniSat is a minimalistic, open-source SAT solver, developed to help researchers and developers alike to get started on SAT.

MUMPS (MUltifrontal Massively Parallel sparse direct Solver) solves a sparse system of linear equations A x = b using Gaussian elimination.

Open CASCADE is a set of libraries for the development of applications dealing with 3D CAD data or requiring industrial 3D capabilities. It includes C++ class libraries providing services for 3D surface and solid modeling, CAD data exchange, and visualization. It is used for development of specialized software dealing with 3D models in design (CAD), manufacturing (CAM), numerical simulation (CAE), measurement equipment (CMM), and quality control (CAQ) domains.

This is the certified version of the Open Cascade Technology (OCCT) library.

Chuffed is a state of the art lazy clause solver designed from the ground up with lazy clause generation in mind. Lazy clause generation is a hybrid approach to constraint solving that combines features of finite domain propagation and Boolean satisfiability.

HPCombi is a C++17 header-only library using the SSE and AVX instruction sets, and some equivalents, for very fast manipulation of combinatorial objects such as transformations, permutations, and boolean matrices of small size.

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.

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.