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.

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).

OpenLibm is an effort to have a high quality, portable, standalone C mathematical library (libm). It can be used standalone in applications and programming language implementations. The project was born out of a need to have a good libm for the Julia programming language that worked consistently across compilers and operating systems, and in 32-bit and 64-bit environments.

This package provides a command-line interface to Mathics3.

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.

The dune-subgrid module marks elements of another hierarchical dune grid. The set of marked elements can then be accessed as a hierarchical dune grid in its own right. Dune-Subgrid provides the full grid interface including adaptive mesh refinement.

CCOLAMD is library for computing a permutation vector for a matrix with which the LU factorization becomes sparser. It is a variant of COLAMD which has the the option to apply constraints to the ordering.

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.

Lis is a parallel software library for solving discretized linear equations and eigenvalue problems that arise in the numerical solution of partial differential equations using iterative methods.

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 DUNE module provides interface and implementation for shape functions defined on the DUNE reference elements. In addition to the shape function, interpolation operators and special keys are provided which can be used to assemble global function spaces on finite-element grids.

This package provides an interface and implementation for shape functions defined on the DUNE reference elements. In addition to the shape function, interpolation operators and special keys are provided which can be used to assemble global function spaces on finite-element grids.

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

Kissat is a bare-metal SAT-solver written in C. It is a port of CaDiCaL back to C with improved data structures, better scheduling of inprocessing and optimized algorithms and implementation.

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.

cvc5 is a solver for SMT problems. It processes input in the standard SMT-LIB format.

Vinci implements a number of volume computation algorithms for convex polytopes in arbitrary dimension. The polytopes can be given by their V-representation (as the convex hull of a finite number of vertices), by their H-representation (as the bounded intersection of a finite number of halfspaces) or by their double description with both representations.

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.

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.

The python-constraint module offers efficient solvers for constraint satisfaction problems over finite domains in an accessible Python package.

The Interior Point Optimizer (IPOPT) is a software package for large-scale nonlinear optimization. It provides C++, C, and Fortran interfaces.

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

libflame is a portable library for dense matrix computations, providing much of the functionality present in LAPACK, developed by current and former members of the SHPC group in the Institute for Computational Engineering and Sciences at The University of Texas at Austin. libflame includes a compatibility layer, lapack2flame, which includes a complete LAPACK implementation.

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

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.