Dynamical models used within astrodynamics and orbital mechanics!

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Simulators for kite power systems

From Semiconductor to TransistorLevel Modeling in Julia

Finite State Projection algorithms for chemical reaction networks

Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem

Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.

Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)

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A tool to solve optimal control problem

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

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

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

A component library based on ModelingToolkit

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

Create parameter estimation problems for ODE models

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

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

Methods for computational information geometry

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

Finds relationships between the parameters of a mathematical model

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

Choo-choo

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

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

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

Generalized mean-field equations in open quantum systems

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

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

High level functions for analyzing the output of simulations

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.

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

Package for dynamical modeling of power grids

A standard library of components to model the world and beyond

Equation-based modeling and simulations in Julia

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

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

Automatic Finite Difference PDE solving with Julia SciML