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

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

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

Distributed High-Performance Symbolic Regression in Julia

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

Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

Automatic Finite Difference PDE solving with Julia SciML

Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Equation-based modeling and simulations in Julia

A standard library of components to model the world and beyond

Package for dynamical modeling of power grids

A helper tool for visualizing and editing a ModelingToolkit.jl system connections

OrbitalTrajectories.jl is a modern orbital trajectory design, optimisation, and analysis library for Julia, providing methods and tools for designing spacecraft orbits and transfers via high-performance simulations of astrodynamical models.

High level functions for analyzing the output of simulations

A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Generalized mean-field equations in open quantum systems

Global glacier model using Universal Differential Equations for climate-glacier interactions

An open-source framework written in Julia for global integrated assessment models.

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

Choo-choo

Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks

Finds relationships between the parameters of a mathematical model

Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

Methods for computational information geometry

SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

High-level model-order reduction to automate the acceleration of large-scale simulations

An interface for accelerated simulation of high-dimensional collisionless and electrostatic plasmas.

Create parameter estimation problems for ODE models

A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

A component library based on ModelingToolkit

Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices

Builds conductance based neural networks iteratively, from ion channels and synapses

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A tool to solve optimal control problem

Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)

Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.