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The Top 23 Julia Differential Equations Scientific Machine Learning Open Source Projects

Open source projects categorized as Julia Differential Equations Scientific Machine Learning
Categories > Differential Equations
Categories > Scientific Machine Learning
Differentialequations.jl ⭐ 2,689
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.
most recent commit 3 months ago
Modelingtoolkit.jl ⭐ 1,292
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
most recent commit 3 months ago
Neuralpde.jl ⭐ 864
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
most recent commit 3 months ago
Diffeqflux.jl ⭐ 810
Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
most recent commit 3 months ago
Scimltutorials.jl ⭐ 698
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
most recent commit 7 months ago
Ordinarydiffeq.jl ⭐ 479
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
most recent commit 3 months ago
Diffeqpy ⭐ 456
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
dependent packages 2total releases 12most recent commit 4 months agopypi diffeqpy} Downloads
Catalyst.jl ⭐ 402
Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
most recent commit 3 months ago
Datadrivendiffeq.jl ⭐ 393
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
most recent commit 3 months ago
Surrogates.jl ⭐ 302
Surrogate modeling and optimization for scientific machine learning (SciML)
most recent commit 3 months ago
Scimlsensitivity.jl ⭐ 291
A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
most recent commit 3 months ago
Diffeqbase.jl ⭐ 282
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
most recent commit 3 months ago
Diffeqoperators.jl ⭐ 279
Linear operators for discretizations of differential equations and scientific machine learning (SciML)
most recent commit 10 months ago
Scimlbenchmarks.jl ⭐ 279
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
most recent commit 3 months ago
Diffeqgpu.jl ⭐ 261
GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
most recent commit 3 months ago
Componentarrays.jl ⭐ 258
Arrays with arbitrarily nested named components.
most recent commit 4 months ago
Diffeqdocs.jl ⭐ 251
Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem
most recent commit 3 months ago
Stochasticdiffeq.jl ⭐ 229
Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
most recent commit 3 months ago
Linearsolve.jl ⭐ 211
LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.
most recent commit 3 months ago
Neuraloperators.jl ⭐ 206
DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
most recent commit 3 months ago
Sundials.jl ⭐ 200
Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner
most recent commit 3 months ago
Reservoircomputing.jl ⭐ 192
Reservoir computing utilities for scientific machine learning (SciML)
most recent commit 3 months ago
Nonlinearsolve.jl ⭐ 154
High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
most recent commit 3 months ago
The 5 Latest Releases In Julia Differential Equations Scientific Machine Learning Open Source Projects
Diffeqpy ⭐ 456
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
dependent packages 2total releases 12latest release December 10, 2023most recent commit 4 months agopypi diffeqpy} Downloads
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