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

Core functions for the Julia (2nd) edition of the text Fundamentals of Numerical Computation, by Driscoll and Braun.

Macros and functions to work with DSGE models.

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

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

A Julia package for estimating ARMA-GARCH models.

A fully `Distributions.jl`-compliant copula package

Pure Julia Implementation of Geometrically Exact Beam Theory

Package implementing common state-space routines.

A Julia rewrite of Dynare: solving, simulating and estimating DSGE models.

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!

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.

Sampling from intractable distributions, with support for distributed and parallel methods

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!

Implementation of variational Bayes inference algorithms

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

Preheat your MCMC

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.

Bayesian Generalized Linear models using `@formula` syntax.

A simple tool for simulating trapped ion systems

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

Sequential Monte Carlo algorithm for approximation of posterior distributions.

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

Generalized mean-field equations in open quantum systems

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

Turing + Makie = Turkie

Taylor-mode automatic differentiation for higher-order derivatives

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