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

Taylor-mode automatic differentiation for higher-order derivatives

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

Turing + Makie = Turkie

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.

Building dynamical systems compositionally

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

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

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

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

Base functionality library for QuantumOptics.jl

Robot Motion Estimate: Tools, Variables, and Factors for SLAM in robotics; also see Caesar.jl.

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)

Rigorous function approximation using Taylor models in Julia

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

Atomic graph models for molecules and crystals in Julia

Darcy flow and reservoir simulator based on Jutul.jl

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

Conic Augmented Lagrangian Interior-Point SOlver

Choo-choo

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

Distributed Julia arrays using the MPI protocol

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.

Functions to compute omnidirectional landscape connectivity using circuit theory and the Omniscape algorithm.

Nonlinear optical pulse propagator

A Power Flow Solver for GPUs in Julia

Distributed Data Parallel Training of Deep Neural Networks

Robust and optimal design and analysis of linear control systems

Differentiable trajectory optimization in Julia.

FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.

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Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks

Library supporting the ArrayInterface.jl strided array interface.

Definition of dynamical systems and integrators for DynamicalSystems.jl

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

The automatically differentiable and GPU-compatible toolkit for CMB analysis.

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