Equation-based modeling and simulations in Julia

Koma is a Pulseq-compatible framework to efficiently simulate Magnetic Resonance Imaging (MRI) acquisitions. The main focus of this package is to simulate general scenarios that could arise in pulse sequence development.

Koma is a Pulseq-compatible framework to efficiently simulate Magnetic Resonance Imaging (MRI) acquisitions. The main focus of this package is to simulate general scenarios that could arise in pulse sequence development.

Toolbox for gradient-based and derivative-free non-convex constrained optimization with continuous and/or discrete variables.

Julia package for the construction of quantum lattice systems.

Fast and automatic structural identifiability software for ODE systems

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Starter kit for legendary models

Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.

Probabilistic Circuits from the Juice library

Package for dynamical modeling of power grids

Optimization package for the Security-Constrained Unit Commitment Problem

Fast contact-implicit model predictive control for robotic systems that make and break contact with their environments.

3D computer vision library in Julia

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

A framework for simulating viscous incompressible flows about arbitrary body shapes.

Macros and functions to work with DSGE models.

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.

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

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

Semidefinite programming optimization solver

A Julia package for numerical computation in quantum information theory

Julia implementation for various Frank-Wolfe and Conditional Gradient variants

Bayesian optimization for Julia

Pure Julia implementations of single-pass object detection neural networks.

Pure Julia Implementation of Geometrically Exact Beam Theory

A Julia rewrite of Dynare: solving, simulating and estimating DSGE models.

Rigorous floating-point calculations with interval arithmetic in Julia

Julia Package for MRI Reconstruction

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!

Julia Library for Interatomic Potentials

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.

Solve Fractional Differential Equations using high performance numerical methods

High level functions for analyzing the output of simulations

ClimaAtmos.jl is a library for building atmospheric circulation models that is designed from the outset to leverage data assimilation and machine learning tools. We welcome contributions!

Implementation of variational Bayes inference algorithms

Flexible and performant GEMM kernels in Julia

Fast Fourier transforms of MPI-distributed Julia arrays

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