Direct solution of the Chemical Master Equation in Julia.

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

Julia package to facilitate the construction of JumpProblems on graphs.

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From Semiconductor to TransistorLevel Modeling in Julia

Deprecated package (use instead Modia.jl)

Modeling and Simulation of 3D systems

Modeling and simulation of multidomain engineering systems

Finds relationships between the parameters of a mathematical model

Population and community dynamics on spatial graphs, in julia. (formerly EcoDynamics.jl)

Epidemic spatial and temporal model setup and simulation. Focusing on state of the art epidemiology models such as universal differential equations, epidemiology-informed deep learning models. Part of Mathepia.jl

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

Simulators for kite power systems

Kite and tether models for the simulation of kite power systems

Ecosystem of numerical methods for microbial kinetics data analysis, from preprocessing to result interpretation.

Julia implementation of joint models combining longitudinal and survival endpoints

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

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

A package for the simulation of gas chromatography (GC) in complex systems

Core functions for the Julia (2nd) edition of the text Fundamentals of Numerical Computation, by Driscoll and Braun.

FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.

FMI.jl is a free-to-use software library for the Julia programming language which integrates FMI (fmi-standard.org): load or create, parameterize, differentiate and simulate FMUs seamlessly inside the Julia programming language!

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

Algorithms for the transport of mass and energy in the environment

Develop tools for ensemble Kalman filter

A simulator for ecological dynamics written in Julia.

High level functions for analyzing the output of simulations

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Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

DPFEHM: A Differentiable Subsurface Flow Simulator

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

Automatically Differentiate the backward Euler method

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

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

Simulation of simple controls problems in Julia

Control barrier functions (CBFs) in Julia.