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

An extensible framework for geospatial data science and geostatistical modeling fully written 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

Molecular simulation in Julia

Automatic Finite Difference PDE solving with Julia SciML

Efficient and type-stable physical quantities in Julia

Simple multithreading in julia

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

Flexible implementation of cell lists to map the calculations of particle-pair dependent functions, such as forces, energies, neighbor lists, etc.

Music Processing Library in Julia

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

Run Julia test items

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.

Darcy flow and reservoir simulator based on Jutul.jl

Choo-choo

Boundary Element Analysis and Simulation Toolkit

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

Simple chunk splitters for parallel loop executions

Methods for computational information geometry

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

Easy interface for obtaining fits for 2D data

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