Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

Web server to run just the `@bind` parts of a Pluto.jl notebook

Efficient and type-stable physical quantities in Julia

System Identification toolbox, compatible with ControlSystems.jl

A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics

ODE integration using Taylor's method, and more, in Julia

Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

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

Solve non-linear HJB equations.

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Causal.jl - A modeling and simulation framework adopting causal modeling approach.

State estimation, smoothing and parameter estimation using Kalman and particle filters.

A standard library of components to model the world and beyond

Equation-based modeling and simulations in Julia

Toolbox for gradient-based and derivative-free non-convex constrained optimization with continuous and/or discrete variables.

Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.

Package for dynamical modeling of power grids

Julia chess programming library.

MagNav: airborne Magnetic anomaly Navigation

A framework for simulating viscous incompressible flows about arbitrary body shapes.

Core functions for the Julia (2nd) edition of the text Fundamentals of Numerical Computation, by Driscoll and Braun.

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

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

A graphical editor for graph-like structures

Pure Julia Implementation of Geometrically Exact Beam Theory

Rigorous floating-point calculations with interval arithmetic in Julia

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.

✔️ Visual, reactive testing library for Julia. Time machine included.

Convert Pluto notebooks to HTML in automated workflows

Solve Fractional Differential Equations using high performance numerical methods

High level functions for analyzing the output of simulations

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!

Julia parser, interpreter and compiler interface for the Planning Domain Definition Language (PDDL). Planners not included.

A julia package for representing and manipulating model semantics

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

WIP successor to Soss.jl