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!

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

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

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

Preheat your MCMC

Modeling and Simulation of 3D systems

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

Julia toolkit for open quantum system simulation.

Implementation of the Deep Q-learning algorithm to solve MDPs

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Simulation and visualization of articulated rigid body systems in Julia

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

A simple tool for simulating trapped ion systems

Bayesian Generalized Linear models using `@formula` syntax.

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

Generalized mean-field equations in open quantum systems

Taylor-mode automatic differentiation for higher-order derivatives

Turing + Makie = Turkie

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

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

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

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

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

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

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

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Delaunay triangulations and Voronoi tessellations in two dimensions.

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.

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

Choo-choo

Conic Augmented Lagrangian Interior-Point SOlver