FMI.jl is a free-to-use software library for the Julia programming language which integrates FMI (fmi-standard.org): load or create, parameterize, differentiate and simulate FMUs seamlessly inside the Julia programming language!

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.

Julia Library for Interatomic Potentials

Solve Fractional Differential Equations using high performance numerical methods

ClimaAtmos.jl is a library for building atmospheric circulation models that is designed from the outset to leverage data assimilation and machine learning tools. We welcome contributions!

High level functions for analyzing the output of simulations

Implementation of variational Bayes inference algorithms

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

A julia package for representing and manipulating model semantics

Preheat your MCMC

Modeling and Simulation of 3D systems

A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

Julia toolkit for open quantum system simulation.

Clique recycling non-Gaussian (multi-modal) factor graph solver; also see Caesar.jl.

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality

Simulation and visualization of articulated rigid body systems in Julia

A simple tool for simulating trapped ion systems

Bayesian Generalized Linear models using `@formula` syntax.

DIVAnd performs an n-dimensional variational analysis of arbitrarily located observations

Generalized mean-field equations in open quantum systems

Turing + Makie = Turkie

Taylor-mode automatic differentiation for higher-order derivatives

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

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

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

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

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

Robot Motion Estimate: Tools, Variables, and Factors for SLAM in robotics; also see Caesar.jl.

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

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An open source model predictive control package for Julia.

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

Rigorous function approximation using Taylor models in Julia

Darcy flow and reservoir simulator based on Jutul.jl

Atomic graph models for molecules and crystals in Julia

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

Model and solve optimal control problems in Julia

Choo-choo

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions