Grid-based approximation of partial differential equations in Julia

Julia package for function approximation

Library for the numerical simulation of closed as well as open quantum systems.

Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

Play atmospheric modelling like it's LEGO.

A Julia package for fitting (statistical) mixed-effects models

A Julia package for Gaussian Processes

A Julia package to perform Bifurcation Analysis

Julia package for automated Bayesian inference on a factor graph with reactive message passing

:rocket: Julia package for orthogonal polynomial transforms :snowboarder:

An intuitive modeling interface for infinite-dimensional optimization problems.

Convenience meta-package to load essential packages for statistics

Gaussian Process package based on data augmentation, sparsity and natural gradients

System Identification toolbox, compatible with ControlSystems.jl

Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

State estimation, smoothing and parameter estimation using Kalman and particle filters.

Parallel distributed-memory version of Gridap

High-performance reactive message-passing based Bayesian inference engine

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

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.

Bayesian optimization for Julia

Random matrices package for Julia

Stochastic Optimization, Learning, Uncertainty and Sampling

Implements Optimization and approximate uncertainty quantification algorithms, Ensemble Kalman Inversion, and Ensemble Kalman Processes.

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!

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Bayesian Generalized Linear models using `@formula` syntax.

A simple tool for simulating trapped ion systems

Generalized mean-field equations in open quantum systems

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

Base functionality library for QuantumOptics.jl

A package for Gaussian random field generation in Julia

Julia package for solving singular integral equations

Expectation operators for Distributions.jl objects

Boundary Element Analysis and Simulation Toolkit

A collection of B-spline tools in Julia

Geometric Numerical Integration in Julia

Neuroimaging (EEG, fMRI, pupil ...) regression analysis in Julia

Provides likelihood functions for Gaussian Processes.

A full end-to-end modular software suite for radiative transfer and related atmospheric analysis