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!

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

Fast Fourier transforms of MPI-distributed Julia arrays

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WIP successor to Soss.jl

Modeling and Simulation of 3D systems

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

Clique recycling non-Gaussian (multi-modal) factor graph solver; also see Caesar.jl.

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Julia toolkit for open quantum system simulation.

Implementation of the Deep Q-learning algorithm to solve MDPs

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

Makie package to plot maptiles from various map providers

Bayesian Generalized Linear models using `@formula` syntax.

Simulation and visualization of articulated rigid body systems in Julia

A simple tool for simulating trapped ion systems

Generalized mean-field equations in open quantum systems

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

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.

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

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

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

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

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

Groebner bases in (almost) pure Julia

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Rigorous function approximation using Taylor models in Julia

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

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)

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

Atomic graph models for molecules and crystals in Julia