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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.

8 projects

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.

Contributors

1,370

Organizations

118

Software value

$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.

Contributors

1,089

Organizations

95

Software value

$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.

Contributors

1,025

Organizations

111

Software value

$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.

Contributors

640

Organizations

170

Software value

$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.

Contributors

584

Organizations

140

Software value

$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.

Contributors

490

Organizations

59

Software value

$2.3M

SciMLBase

The Base interface of the SciML ecosystem

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