Taylor-mode automatic differentiation for higher-order derivatives

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

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

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

Groebner bases in (almost) pure Julia

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

Conic Augmented Lagrangian Interior-Point SOlver

Choo-choo

Multivariate polynomials implementation of commutative and non-commutative variables

Differentiable trajectory optimization in Julia.

Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks

A Julia package for solving nonlinear differential equations using the harmonic balance method.

-

Frequency domain, multi-tone harmonic balance, simulation of scattering parameters and noise in nonlinear circuits containing Josephson junctions.

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

Finds relationships between the parameters of a mathematical model

-

A fast and flexible Structural Equation Modelling Framework

Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

Reachability analysis for closed-loop control systems in Julia

Systems definitions in Julia

A JuMP extension for Polynomial Optimization

A Julia package for constrained iterative LQR (iLQR)

-

Methods for computational information geometry

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

Common functions in actuarial and financial routines

Unified contact simulaton and collision detection

Comparing performance and results of mcmc options using Julia

Julia implementations of symbolic integration algorithms

High-level model-order reduction to automate the acceleration of large-scale simulations

-

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

FractionalCalculus.jl: A Julia package for high performance, comprehensive and high precision numerical fractional calculus computing.

Create parameter estimation problems for ODE models

Composable contracts, models, and functions that allow for modeling of both simple and complex financial instruments

A full stack simulator of quantum hardware, from the low-level analog physics to high-level network dynamics. Includes discrete event simulator, symbolic representation for quantum object, and works with many backend simulators.

Octofitter is a Julia package for performing Bayesian inference against direct images of exoplanets, relative astrometry, and astrometric acceleration of the host star.

Computer algebra tools for symbolic manipulations in quantum mechanics and quantum information

A differentiable simulator for robotic systems.