8 projects
Differential Equations Solvers
Libraries for solving various types of differential equations including ordinary, partial, stochastic, and delay differential equations. These tools support scientific computing, mathematical modeling, and scientific machine learning applications.
5,198 contributors
$854M
Trilinos
The mission of the Project is the creation of algorithms and enabling technologies for the solution of large-scale, complex multi-physics engineering and scientific problems on new and emerging high-performance computing (HPC) architectures. The Project is composed of packages addressing various computational needs of engineering and scientific simulations.
1,370
118
$645M
MFEM
MFEM is a free, lightweight, scalable C++ library for finite element methods. It provides high-performance mathematical algorithms for finite element discretization, linear algebra operations, mesh representation, and parallel computing capabilities for solving partial differential equations.
1,089
95
$18M
deal.II
deal.II is an open-source finite element analysis library designed for computational science and numerical simulations. It provides tools and algorithms for solving partial differential equations using adaptive finite element methods, with particular focus on scientific computing and engineering applications.
1,025
111
$154M
Unidata NetCDF
NetCDF (Network Common Data Form) is a set of software libraries and machine-independent data formats that support the creation, access, and sharing of array-oriented scientific data. This C implementation provides the reference library and tools for working with NetCDF files, enabling efficient storage and retrieval of multi-dimensional scientific data.
640
170
$20M
OrdinaryDiffEq.jl
OrdinaryDiffEq.jl is a high-performance solver package for ordinary differential equations (ODEs) in Julia. It provides a comprehensive suite of numerical methods for solving various types of ODEs, including stiff and non-stiff problems, with features for automatic algorithm selection and performance optimization.
584
140
$7M
DOLFINx
DOLFINx is a high-performance finite element library and computational framework for solving partial differential equations (PDEs). It is part of the FEniCS Project, providing efficient tools for automated solution of differential equations through high-level Python and C++ interfaces.
490
59
$2.3M
SciMLBase
The Base interface of the SciML ecosystem