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Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
Multiphysics Object Oriented Simulation Environment: A robust, modern, extendable, finite element/finite volume framework that excels at creating complex multiphysics simulations.
Lightweight, general, scalable C++ library for finite element methods
Linear algebra, eigenvalues, FFT, Bessel, elliptic, orthogonal polys, geometry, NURBS, numerical quadrature, 3D transfinite interpolation, random numbers, Mersenne twister, probability distributions, optimisation, differential equations.
The development repository for the deal.II finite element library
Kratos Multiphysics (A.K.A Kratos) is a framework for building parallel multi-disciplinary simulation software. Modularity, extensibility and HPC are the main objectives. Kratos has BSD license and is written in C++ with extensive Python interface.
Real-time multi-physics simulation with an emphasis on medical simulation.
libMesh github repository
A flexible framework for solving PDEs with modern spectral methods.
Firedrake is an automated system for the portable solution of partial differential equations using the finite element method (FEM)
Simple finite element assemblers
FiPy is a Finite Volume PDE solver written in Python
One open-source modeler for structures, heat and fluids, built from scratch in pure Rust: parametric part in, verified results out. Automatic all-hex and tet meshing, our own nonlinear implicit and explicit FEA, heat transfer and lattice Boltzmann CFD — every result checked against theory. For engineers and AI agents alike. Free, forever.