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

Timeseries in Julia

Beta Machine Learning Toolkit

Dive deeper into your data with interactive graphics

Projective geometry for computer vision in Julia

Rigorous floating-point calculations with interval arithmetic in Julia

Stochastic Optimization, Learning, Uncertainty and Sampling

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!

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.

Julia Library for Interatomic Potentials

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 julia package for representing and manipulating model semantics

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

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

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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.

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

A simple tool for simulating trapped ion systems

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

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

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

An open-source framework written in Julia for global integrated assessment models.

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

Rigorous function approximation using Taylor models in Julia

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An open source model predictive control package for Julia.

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.