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.

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

Finds relationships between the parameters of a mathematical model

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

A fast and flexible Structural Equation Modelling Framework

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

A Julia package for constrained iterative LQR (iLQR)

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Methods for computational information geometry

Unified contact simulaton and collision detection

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

Common functions in actuarial and financial routines

Comparing performance and results of mcmc options using Julia

Julia implementations of symbolic integration algorithms

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

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

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

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Create parameter estimation problems for ODE models

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.

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

A differentiable simulator for robotic systems.

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 library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

A Julia package for constrained trajectory optimization using direct methods.

ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

A component library based on ModelingToolkit

Quantum Optimal Control with Direct Collocation

Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices

Builds conductance based neural networks iteratively, from ion channels and synapses

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A tool to solve optimal control problem

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Julia MathML parser

Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia