Computing reachable states of dynamical systems in Julia

Tools for the exploration of chaos and nonlinear dynamics

A Julia package for solving systems of polynomials via homotopy continuation.

A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.

Language for symbolic mathematics

Julia package to run Dynamic Power System simulations. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.

Implementations of the models from the Statistical Rethinking book with Turing.jl

Implementation of domain-specific language (DSL) for dynamic probabilistic programming

Automatic Finite Difference PDE solving with Julia SciML

Julia package for automatically generating Bayesian inference algorithms through message passing on Forney-style factor graphs.

Algorithms for quantifying associations, independence testing and causal inference from data.

Algorithms for quantifying associations, independence testing and causal inference from data.

Convenience meta-package to load essential packages for statistics

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)

Fermi quantum chemistry program

System Identification toolbox, compatible with ControlSystems.jl

The Base interface of the SciML ecosystem

Algorithms from circuit theory to predict connectivity in heterogeneous landscapes

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

Julia package for simulating Dynamics on Networks

Algorithms and data structures for game theory 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

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Algebraic Multigrid in Julia

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

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

Sum of Squares Programming for Julia

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

Equation-based modeling and simulations in Julia

A standard library of components to model the world and beyond

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

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

Collection of fundamental physical constants with uncertainties. It supports arbitrary-precision constants

MagNav: airborne Magnetic anomaly Navigation