The dune-functions module provides an abstraction layer for global finite element functions. Its two main concepts are functions implemented as callable objects, and bases of finite element spaces.

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

optizelle is a software library designed to solve nonlinear optimization problems. Four types of problem are considered: unconstrained, equality constrained, inequality constrained and constrained. Constraints may be applied as values of functions or sets of partial differential equations (PDEs).

Solution algorithms such as the preconditioned nonlinear conjugate gradient method, sequential quadratic programming (SQP) and the primal-dual interior-point method are made available. Interfaces are provided for applications written in C++ and Python. Parallel computation is supported via MPI.

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.

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

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.

LibPoly is a C library for manipulating polynomials to support symbolic reasoning engines that need to reason about polynomial constraints.

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.

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.

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.

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 grid classes.

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.

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.

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.

METIS is a set of serial programs for partitioning graphs, partitioning finite element meshes, and producing fill-reducing orderings for sparse matrices. The algorithms implemented in METIS are based on the multilevel recursive-bisection, multilevel k-way, and multi-constraint partitioning schemes.

PDELab is a partial differential equations solver toolbox built on top of DUNE, the Distributed and Unified Numerics Environment.

BLIS is a portable software framework for instantiating high-performance BLAS-like dense linear algebra libraries. The framework was designed to isolate essential kernels of computation that, when optimized, immediately enable optimized implementations of most of its commonly used and computationally intensive operations. While BLIS exports a new BLAS-like API, it also includes a BLAS compatibility layer which gives application developers access to BLIS implementations via traditional BLAS routine calls.

ARPACK-NG is a collection of Fortran77 subroutines designed to solve large scale eigenvalue problems.

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.

bliss is a library for computing automorphism groups +and canonical forms of graphs. It has both a command line user interface as +well as C++ and C programming language APIs.

PETSc, pronounced PET-see (the S is silent), is a suite of data structures and routines for the scalable (parallel) solution of scientific applications modeled by partial differential equations.

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.

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

Gmsh is a 3D finite element grid generator with a built-in CAD engine and post-processor. Its design goal is to provide a fast, light and user-friendly meshing tool with parametric input and advanced visualization capabilities. Gmsh is built around four modules: geometry, mesh, solver and post-processing. The specification of any input to these modules is done either interactively using the graphical user interface or in ASCII text files using Gmsh's own scripting language.