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

Generalized mean-field equations in open quantum systems

Econometrics in Julia

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

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

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

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

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.

A General Approach to Seismic Inversion Problems using Automatic Differentiation

Atomic graph models for molecules and crystals in Julia

Choo-choo

Implementation of various ensemble Kalman Filter data assimilation methods in Julia

A multi-dimensional, high performance deconvolution framework written in Julia Lang for CPUs and GPUs.

Use Optim to train Flux models and visualize loss landscapes

Nonlinear optical pulse propagator

Economic modeling in Julia

FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.

Robust and optimal design and analysis of linear control systems

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Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks

A Julia package for solving nonlinear differential equations using the harmonic balance method.

Dense and Sparse Least Squares Optimization

The automatically differentiable and GPU-compatible toolkit for CMB analysis.

Julia package towards classical molecular modeling of nanoporous materials

Finds relationships between the parameters of a mathematical model

Julia versions of the CompEcon routines by Miranda and Fackler.

Julia package containing utilities intended for Time Series analysis.

Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

Measure the distance between two spectra/signals using optimal transport and related metrics

A fast and flexible Structural Equation Modelling Framework

Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

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Julia toolbox for underwater acoustic modeling

Signal analysis toolbox for Julia

Julia package for ecosystem simulation

A Petri net modeling framework for the Julia programming language

Methods for computational information geometry

Julia package for finding traffic user equilibrium flow