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Integrating Neural Ordinary Differential Equations, the Method of Lines, and Graph Neural Networks

Simulators for kite power systems

Package for approximation of solutions to matrix differential equations or time-dependent matrices via dynamically evolving low rank decomposition.

A Julia package that implements a category of reaction (transportation) network-type dynamical systems.

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Import dynamic models in the SBML format into a ReactionSystem for Gillespie, SDE and ODE simulations

Dynamical models used within astrodynamics and orbital mechanics!

DelaySSAToolkit.jl: a tool in Julia for stochastic simulation with delays

Interface between ControlSystems and ModelingToolkit

Julia implementation of the bond graph framework

Exact reduction of ODE models via linear transformations

Backward-filtering forward-guiding with StochasticDiffEq.jl

Control barrier functions (CBFs) in Julia.

Julia implementation of joint models combining longitudinal and survival endpoints

Common types and interface for discretizers of ModelingToolkit PDESystems.

Programs modeled after "Numerical Methods for Engineers" by D.V. Griffiths and I.M. Smith

Develop tools for ensemble Kalman filter

Computing solutions to the frequency-domain radial Teukolsky equation with the Generalized Sasaki-Nakamura (GSN) formalism in julia

Deprecated package (use instead Modia.jl)

A high-performance library for gradient based quantum optimal control

:spider: Non-Markovian stochastic SPIn (and harmonic oscillator) DYnamics.

Kite and tether models for the simulation of kite power systems

Optimal experimental design of ODE and DAE systems in julia

Direct solution of the Chemical Master Equation in Julia.

Ship maneuvering simulation tool with respect to ShipMMG model

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ConceptualClimateModels.jl is a Julia package for creating and analysing conceptual models of climate, such as energy balance models, glaciation cycle models, or climate tipping models.

A package for obtaining the effective time-averaged Lindbladian.

Library for simulating time binned photons in Waveguide Quantum Electrodynamics

A lightweight Consensus-Based Optimisation package for Julia

A Julia package for real-time audification of ODEs and SDEs

Numerical Methods for Vlasov-Poisson and Vlasov-Maxwell Systems

Package for fitting models according to the deep compartment modeling framework for pharmacometric applications.

A toolkit for the quantum and classical Dicke model in Julia.

An unofficial implementation of publicly available approximated polynomial models for NASA's Generic Transport Model aircraft.

Experimental Approach to McCormick Relaxation Source-Code Transformation

Https://stevengogogo.github.io/FindSteadyStates.jl/dev

Unfortunately, FMUs (fmi-standard.org) are not differentiable by design. To enable their full potential inside Julia, FMISensitivity.jl makes FMUs fully differentiable, regarding to: states and derivatives | inputs, outputs and other observable variables | parameters | event indicators | explicit time | state change sensitivity by event

Subspace Inference package for uncertainty analysis in deep neural networks and neural ordinary differential equations using Julia