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FEniCS / dolfinx

Next generation FEniCS problem solving environment for solving finite element problems

β–² ~7/7d β˜… 1.2k C++ 1d ago
SciML / OrdinaryDiffEq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

β–² ~7/7d β˜… 695 Julia 1d ago
SciML / DifferentialEquations.jl

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.

β–² ~0/7d β˜… 3.2k Julia 4d ago
SciML / SciMLBook

Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

β–² ~0/7d β˜… 2.0k HTML 3d ago
cpmech / gosl

Linear algebra, eigenvalues, FFT, Bessel, elliptic, orthogonal polys, geometry, NURBS, numerical quadrature, 3D transfinite interpolation, random numbers, Mersenne twister, probability distributions, optimisation, differential equations.

β–² ~0/7d β˜… 1.9k Go 24d ago
SciML / ModelingToolkit.jl

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

β–² ~0/7d β˜… 1.7k Julia today
brian-team / brian2

Brian is a free, open source simulator for spiking neural networks.

β–² ~0/7d β˜… 1.2k Python today
SciML / NeuralPDE.jl

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

β–² ~0/7d β˜… 1.2k Julia 5d ago
mpmath / mpmath

Python library for arbitrary-precision floating-point arithmetic

β–² ~0/7d β˜… 1.2k Python today
SciML / DiffEqFlux.jl

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

β–² ~0/7d β˜… 929 Julia 4d ago
gridap / Gridap.jl

Grid-based approximation of partial differential equations in Julia

β–² ~0/7d β˜… 886 Julia today
PINA-org / PINA

Physics-Informed Neural networks for Advanced modeling

β–² ~0/7d β˜… 800 Python today
simpeg / simpeg

Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.

β–² ~0/7d β˜… 691 Python today
usnistgov / fipy

FiPy is a Finite Volume PDE solver written in Python

β–² ~0/7d β˜… 643 Python 7d ago
SciML / diffeqpy

Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

β–² ~0/7d β˜… 613 Python 4d ago
SciML / Catalyst.jl

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

β–² ~0/7d β˜… 533 Julia 3d ago