Kite and tether models for the simulation of kite power systems

Basic functionality for EarthSciML system

Models of gas-phase atmospheric chemistry and related processes

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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.

Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

Quantum dynamics simulation environment

Bayesian inference with probabilistic programming.

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

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.

EHT Image domain analysis through template matching.

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

BOSS (Bayesian Optimization with Semiparametric Surrogate)

Phylogenetic Estimation of Shifts in the Tempo of Origination

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

The Julia implementation of the generalised hierarchical Gaussian filter

A Julia package for behavioural modeling

Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia

ADRIA: Adaptive Dynamic Reef Intervention Algorithms. A multi-criteria decision support platform for informing reef restoration and adaptation interventions.

Julia implementation of the ISOKANN algorithm for the computation of invariant subspaces of Koopman operators

Atomic graph models for molecules and crystals in Julia

An efficient Julia framwork for Hierarchical Equations of Motion (HEOM) in open quantum systems

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.

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

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

Control barrier functions (CBFs) in Julia.

An open source model predictive control package for Julia.

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Structure-preserving numerical methods for dispersive shallow water models

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

Quantum Toolbox in Julia

Power spectrum inference of irregularly sampled time series using Gaussian Processes in Julia

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A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.