Deal.II is a C++ program library targeted at the computational solution of partial differential equations using adaptive finite elements. The main aim of deal.II is to enable rapid development of modern finite element codes, using among other aspects adaptive meshes and a wide array of tools often used in finite element programs.

This header-only C++ library implements conversion to and from half-precision floating point formats.

This package provides a C++ interface to the NetCDF library for scientific data storage.

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.

ALUGrid is an adaptive, loadbalancing, unstructured implementation of the DUNE grid interface supporting either simplices or cubes.

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.

The Java HDF5 Interface (JHI5) uses the Java Native Interface to wrap the HDF5 library, which is implemented in C.

The double-conversion library provides binary-decimal and decimal-binary routines for IEEE doubles. The library consists of efficient conversion routines that have been extracted from the V8 JavaScript engine.

CHOLMOD is a set of routines for factorizing sparse symmetrix positive definite matrices, updating/downdating sparse Cholesky factorizations and other related operations.

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.

primecount is a command-line program and C/C++ library that counts the number of primes no greater than x (maximum 1031) using highly optimized implementations of the combinatorial prime counting algorithms.

Gnuplot is a portable command-line driven graphing utility. It was originally created to allow scientists and students to visualize mathematical functions and data interactively, but has grown to support many non-interactive uses such as web scripting. It is also used as a plotting engine by third-party applications like Octave.

FLANN is a library for performing fast approximate nearest neighbor searches in high dimensional spaces. It implements a collection of algorithms and a system for automatically choosing the best algorithm and optimum parameters depending on the dataset.

FLANN is written in C++ and contains bindings for C, Octave and Python.

Ruy is a matrix multiplication library. Its focus is to cover the matrix multiplication needs of neural network inference engines. Its initial user has been TensorFlow Lite, where it is used by default on the ARM CPU architecture.

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

SpeedCrunch is a high-precision scientific calculator. It features a syntax-highlighted scrollable display and is designed to be fully used via keyboard. Some distinctive features are auto-completion of functions and variables, a formula book, and quick insertion of constants from various fields of knowledge.

The terminal calculator is a small program to help users of the GNU/Linux terminal do calculations simply and quickly. The formula to be calculated can be fed to tcalc through the command line.

Gfan is a software package for computing Gröbner fans and tropical varieties.

SuiteSparse is a suite of sparse matrix algorithms. This package contains a library with common configuration options.

HDF5 is a suite that makes possible the management of extremely large and complex data collections.

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.

primesieve is a command-line program and C/C++ library for quickly generating prime numbers. It is very cache efficient, it detects your CPU's L1 & L2 cache sizes and allocates its main data structures accordingly. It is also multi-threaded by default, it uses all available CPU cores whenever possible i.e. if sequential ordering is not required. primesieve can generate primes and prime k-tuplets up to 264.

This package contains software that will allow you to use existing neural network potential parameterizations to predict energies and forces (with standalone tools but also in conjunction with the MD software LAMMPS). In addition it is possible to train new neural network potentials with the provided training tools.

PETSc, the Portable, Extensible Toolkit for Scientific Computation, is a suite of data structures and routines for the scalable (parallel) solution of scientific applications modeled by partial differential equations. It employs the MPI standard for all message-passing communication. petsc4py provides Python bindings to almost all functions of PETSc.