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

A fast and modern CAS for a fast and modern language.

Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of 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.

Expression rewriting and simplification

Probabilistic programming via source rewriting

Distributed High-Performance symbolic regression in Julia

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

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

A beautifully Julian topology optimization package.

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

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

Equation-based modeling and simulations in Julia

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Toolbox for non-convex constrained optimization.

Package for dynamical modeling of power grids

Rigorous floating-point calculations with interval arithmetic in Julia

A standard library of components to model the world and beyond

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

Fast and automatic structural identifiability software for ODE systems

Ridiculously fast dynamic expressions.

Calculate rigorously the feasible region for a set of real-valued inequalities with Julia

Fast contact-implicit model predictive control for robotic systems that make and break contact with their environments.

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Generalized mean-field equations in open quantum systems

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

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Choo-choo

High-performance simulations of the Porous Electrode Theory for Li-ion batteries

Conic Augmented Lagrangian Interior-Point SOlver

Taylor-mode automatic differentiation for higher-order derivatives

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

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

Differentiable trajectory optimization in Julia.

C-code generation and an interface between ControlSystems.jl and SymPy.jl