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

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

Timeseries in Julia

Beta Machine Learning Toolkit

Dive deeper into your data with interactive graphics

Julia Package for MRI Reconstruction

Projective geometry for computer vision in Julia

Rigorous floating-point calculations with interval arithmetic in Julia

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!

Stochastic Optimization, Learning, Uncertainty and Sampling

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

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!

High level functions for analyzing the output of simulations

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

A julia package for representing and manipulating model semantics

🧬High-performance genetics- and genomics-related data visualization using Makie.jl

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Modeling and Simulation of 3D systems

A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Julia toolkit for open quantum system simulation.

A simple tool for simulating trapped ion systems

Makie package to plot maptiles from various map providers

A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality

Simulation and visualization of articulated rigid body systems in Julia

DIVAnd performs an n-dimensional variational analysis of arbitrarily located observations

Generalized mean-field equations in open quantum systems

Multi-language library for the calculation of spherical harmonics in Cartesian coordinates

Global glacier model using Universal Differential Equations for climate-glacier interactions

Base library providing vectorization-tools (ie, SIMD) that other libraries are built off of.

Calculate with error-free, faithful, and compensated transforms and extended significands.

High-performance simulations of the Porous Electrode Theory for Li-ion batteries

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations