Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Algebraic Multigrid in Julia

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Causal.jl - A modeling and simulation framework adopting causal modeling approach.

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

A standard library of components to model the world and beyond

Equation-based modeling and simulations in Julia

Package for dynamical modeling of power grids

High-performance reactive message-passing based Bayesian inference engine

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.

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

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

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

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 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

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

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Julia toolkit for open quantum system simulation.

A Julia package for representing infinite-dimensional arrays

A simple tool for simulating trapped ion systems

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

Bayesian Generalized Linear models using `@formula` syntax.

Generalized mean-field equations in open quantum systems

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

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

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

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An open source model predictive control package for Julia.

Atomic graph models for molecules and crystals in Julia

Darcy flow and reservoir simulator based on Jutul.jl

Julia package for solving singular integral equations

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