Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

Building and using pyramids for large raster data

Preheat your MCMC

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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An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

High Level API Finite Element Methods based on ExtendableGrids and ExtendableFEMBase

Bayesian inference with probabilistic programming.

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.

BOSS (Bayesian Optimization with Semiparametric Surrogate)

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

The Julia implementation of the generalised hierarchical Gaussian filter

A Julia package for behavioural modeling

Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia

A standard library of components to model the world and beyond

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

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.

Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem

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Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

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

The base package for Optimization.jl, containing the structs and basic functions for it.

A Julia package for constrained iterative LQR (iLQR)

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

Computer algebra tools for symbolic manipulations in quantum mechanics and quantum information

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Generalized mean-field equations in open quantum systems

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

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

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Code generation for Euler-Lagrange equations.

Taylor-mode automatic differentiation for higher-order derivatives

A Julia package for solving nonlinear differential equations using the harmonic balance method.

Linear periodic time-varying systems tools in Julia

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