The purpose of this page is to demonstrate the various applications where the SciML tools have been employed. If you would like your own work added to this list, please open a pull request.
There are many external libraries which connect and utilize SciML utilities under the hood. The following an incomplete list of software organizations providing domain modeling tools that are built upon SciML. If you would like your institution's tools added to the list, please open a pull request.
DJ4Earth: Differentaible Programming / SciML for Climate Modeling
CMU+MIT+Citrine: Accelerated Computational Electrochemical Systems Discovery (ACED)
Los Alamos National Lab: Model Analysis & Decision Support (MADS)
Safe Blues: A Method for Estimation and Control in the Fight Against COVID-19
Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia
This is how they use AI to recreate smells from the past (using Julia SciML)
Technique could efficiently solve partial differential equations for numerous applications (PEDS)
MagNav Project Demos Real-Time Magnetic Navigation (built on SciML tooling)
$46 million dollar DARPA grant for artificial blood development with SciML, "this highly complex project that requires the use of advanced modeling and simulation, and a scientific machine learning software system to optimize the prototypes and to test for safety and efficacy in models of complex trauma with multiple complications", see our blog post for more details
"Year of autonomy in Alaskan glaciers, flight, earth orbit, cislunar space and mars" article in the Dec edition of AIAA's Aerospace America magazine (SciML used on embedded devices for control of unmanned aerial vehicles), image for safe keeping
Q&A: Chris Rackauckas on the equations at the heart of practically everything
Using machine learning to derive black hole motion from gravitational waves (using SciML DiffEqFlux)
HPCWire: Argonne AI for Science Colloquium Marks Challenges and Progress
Pumas-AI looks to democratize access to drug development tools (using SciML)
List23: The Open Source HetaSimulator project is going to be launched by InSysBio
PR Newswire: InSysBio to launch its OpenSource HetaSimulator project
Julia Computing Launches JuliaSim for Scientific ML In Cloud
Julia Computing Launches JuliaSim For Scientific Machine Learning In Cloud
Julia Computing introduces JuliaSim, next-generation cloud-based simulation platform
SafeBlues Release (3/16/2021) (analysis done with SciML)
Gizmodo: Researchers Are Working on a Virtual Phone Virus That 'Mimics' the Spread of Covid-19
El Universal: Covid-19. Crean virus virtual que se propaga por Bluetooth en tu móvil
MarseilleNews.net: Ce virus virtuel transmettant Bluetooth peut imiter la propagation du COVID
MIT CCE News: Researchers develop Bluetooth powered “virtual virus” to track COVID-19’s spread
la100 Cienradios: Crearon un “virus digital” que podría rastrear el coronavirus
Mobile Bulgaria: Виртуален вирус пресъздава моделите на разпространение на COVID-19
LaMinute.info: Le virus du téléphone virtuel « imite » la propagation de Covid-19
Manlokam: ఇదొక స్పెషల్ వైరస్.. బ్లూటూత్ ద్వారా పనిచేస్తూ కోవిడ్ను గుర్తిస్తుంది..
El Pais: DESARROLLAN UN VIRUS PARA MÓVILES QUE SE PROPAGA COMO SI FUERA LA COVID-19
La Repubblica: Il virus 'virtuale' mima Covid e sa dire come viaggia l'epidemia
Amarujala.com: ब्लूटूथ से फोन में फैलता है यह खास वायरस, कोरोना ट्रैक करने में करता है मदद
pplware: “Vírus virtual” transmite-se entre smartphones ao estilo do coronavírus
LokMat News 18: ब्लूट्यूथने फोनमध्ये पसरतो हा खास व्हायरस; Coronavirus ट्रॅक करण्यासाठी होते मदत
Ajel News: فيروس افتراضي ينتقل بالبلوتوث يساعد في تتبع انتشار «كورونا»
4gnews: Investigadores criam "coronavirus digital" transmissível aos smartphones por Bluetooth
Upvarta News: ब्लूटूथ से मोबाइल में दस्तक देगा ये खास Virus , जानें क्या है वर्चुअल वायरस
Youm7: تطوير فيروس افتراضى ينتشر عبر البلوتوث بين الهواتف الذكية لتتبع كورونا
El Universal: Covid-19. Crean virus virtual que se propaga por Bluetooth en tu móvil
MobileSyrup: Researchers develop virtual mobile virus to better understand COVID-19 spread
LaFM: Aparece virus que infecta smartphones de manera 'similar' al coronavirus
DeobreProgramy: Safe Blues: wirus na smartfony ma pomóc w badaniu COVID-19
Pingvin.pro: Віртуальний вірус для смартфонів допоможе оцінити поширення COVID-19
SecurityLab.ru: Передающийся по Bluetooth вирус поможет в оценке распространения COVID-19
The Next Web: Scientists want to unleash a Bluetooth-powered ‘virtual virus’ to study COVID-19
Pinakait: A ‘safe’ virus that transfers via Bluetooth created to predict Covid-like virus spread
WoahTech: Bluetooth Transmitting ‘Safe’ Virus Developed To Track COVID Spread
News 21: A ‘safe’ virus that transfers via Bluetooth created to predict Covid-like virus spread
24-e News: They create a laboratory cell phone virus that simulates the spread of COVID-19
JioForMe: Designed a secure “virtual” epidemic .Spreading it will help us learn about COVID
Prowell Tech: This Bluetooth-transmitting virtual virus can mimic COVID spread
Olhar Digital: Researchers create “virtual virus” to study the spread of Covid-19
MobyGeek: Researchers Developed Virtual Phone Virus To Recreate How COVID-19 Spreads
Tech Codex: Researchers develop virtual mobile virus to better understand COVID-19 spread
The Canadian: Researchers Develop Virtual Mobile Viruses to Better Understand the Spread of COVID-19
Flipboard UK: Virtual virus that transmits between phones developed to mimic COVID spread
ZDNet: Researchers develop Bluetooth-transmitting 'virus' to improve COVID-19 tracking accuracy
GadgetsNow: A ‘safe’ virus that transfers via Bluetooth created to predict Covid-like virus spread
guncelkal: Researchers Are Working on a Virtual Phone Virus That ‘Mimics’ the Spread of Covid-19
Newsbreak: Researchers Are Working on a Virtual Phone Virus That 'Mimics' the Spread of Covid-19
Android Authority: Virtual virus that transmits between phones developed to mimic COVID spread
Apostolato Digitale: Intelligenza Artificiale in parrocchia (Video)
MIT News: Slowing the spread of Covid-19 (with SciML models)
JaxEnter: Julia: The programming language of the future? (SciML mentioned as a popular tool)
SciML Software (through Pumas) is utilized in an FDA-approved submission
MIT News: MIT-led team to develop (SciML) software to help forecast space storms
HPCWire: What’s New in Computing vs. COVID-19: Julia, Twitter, TACC & More
Cornell Chronicle: Digital ‘virus’ helps researchers map potential spread
Phys.org: Digital 'virus' helps researchers map potential spread
latronet.gr: Χαρτογράφηση εξάπλωσης CoViD-19 με κινητό τηλέφωνο
Popular Deep Learning Frameworks: An Overview (DiffEqFlux.jl mentioned)
ZDNet: Could a neural network have predicted this pandemic’s impact?
UQ News: A mathematical framework could help safely ease social distancing
MIT News: Model quantifies the impact of quarantine measures on Covid-19’s spread
The Age: COVID-19 simulator could help track virus spread as restrictions eased
The Brazilian National Institute for Space Research (INPE) plans space missions with SciML
JaxEnter: Machine learning meets math: Solve differential equations with new Julia library
Julia (SciML) is awarded funded through the ARPA-E DIFFERENTIATE Program
Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications
Nonlinear Dynamics: A Concise Introduction Interlaced with Code
Numerical Methods for Scientific Computing: The Definitive Manual for Math Geeks
The Koopman Operator in Systems and Control
"All simulations have been performed in Julia, with additional Julia packages: LinearAlgebra.jl, Random.jl, Plots.jl, Lasso.jl, DifferentialEquations.jl"
2024: PumasAI Named Best Clinical Pharmacology Technology Development Firm in Biotechnology Awards
2022: MIT Portugal Program Poster Award, Vinicius Santana, University of Porto
2021: International Society of Pharmacology (ISoP) Mathematics and Computing Special Interest Group Poster Award. Niklas Korsbo (Pumas-AI, University of Cambridge), Chris Elrod (Julia Computing), Francesco Brizzi (Roche), Antoine Soubret (Roche), Andreas Noack (Julia Computing), Vijay Ivaturi (Pumas-AI, University of Maryland School of Pharmacy) and Christopher Rackauckas (Julia Computing, MIT): For "Automatic identification of non-obvious prognostic factors in big data with DeepNLME". DeepNLME is built using the SciML tooling.
2021: United States Department of the Air Force Artificial Intelligence Accelerator Scientific Excellence Award (Chris Rackauckas): For "For developing innovative computational processes to accelerate the simulation of nonlinear systems using neural networks".
2021: Mediterranean Machine Learning School Outstanding Poster Award (Simone Azeglio, Valerio Pagliarino, Francesco Calisto, Luca Bottero, Martina S., Sara Tiengo, Giovanni Graziano): For "Physics-Informed Machine Learning Simulator for Wildfire Propagation" with NeuralPDE.jl.
2020: International Society of Pharmacology (ISoP) Emerging Scientist Award (Chris Rackauckas): For development of SciML and Pumas.
2020: American Conference on Pharmacometrics (ACoP) Quality Award (Chris Rackauckas and Vijay Ivaturi): For DiffEqGPU accelerating QSP models by 175x.
2020: IEEE High-Performance Extreme Computing (HPEC) Outstanding Paper Award (Chris Rackauckas and Qing Nie): For the high-performance adaptive SDE solvers in StochasticDiffEq.jl.
2019: International Society of Pharmacology (ISoP) Mathematics and Computing Special Interest Group Poster Award (Chris Rackauckas and Vijay Ivaturi): Koopman operator tooling of DiffEqUncertainty.jl accelerating uncertainty quantification in PK/PD modeling by 100x.
2018 Julia Community Award (Chris Rackauckas): For development of SciML (at the time, named JuliaDiffEq).
DSWeb 2018 Dynamical Systems Software Contest: Runner up is DifferentialEquations.jl and a winner is DynamicalSystems.jl which utilizes DifferentialEquations.jl.
2017: Best Speaker Award, Tsukuba Global Science Week (Chris Rackauckas): Presentation on StochasticDiffEq.jl for systems biology.
Peregrination of a raconteur through maths, computing, and life with Chris Rackauckas (MIT)
Jousef Murad: Chris Rackauckas - Physics-Informed Neural Networks (PINNs) | Podcast #42
JuliaLang AMA: Ask us anything, SciML edition: Chris Rackauckas and Yingbo Ma
On combining machine learning-based and theoretical ecosystem models
Integrating the Orbital Systems with Satellite Analysis Toolkit (SAT)
GroundTracker and Orbital Analysis for Satellite Analysis Toolkit
Towards Modular Data-driven Simulations (Microsoft Research)
Integro Differential Equations GSoC 2021 NumFOCUS: Final Report
StructuralIdentifiability.jl Google Summer of Code: Final Results
Discretizations of Partial Differential Equations: GSoC'21 : Final Report
Neural Hybrid Differential Equations and Adjoint Sensitivity Analysis
Shadowing Methods for Forward and Adjoint Sensitivity Analysis of Chaotic Systems
Bayesian Inference using Julia and TuringLang at Stuttgart Julia Programming
Adam Davis: DiffEqFlux — Differential Equations and Neural Networks
StochasticLifestyle: ModelingToolkit, Modelica, and Modia: The Composable Modeling Future in Julia
Adam MacLean: A thread on teaching dynamical systems in Julia
Jesse Perla: Machine Learning and High Dimensional Economics
StochasticLifestyle: JuliaCall Update: Automated Julia Installation for R Packages
Neural ODE for Reinforcement Learning and Nonlinear Optimal Control: Cartpole Problem Revisited
"Modeling control of run-of-river power plant Grønvollfoss" in Julia
StochasticLifestyle: GPU-Accelerated ODE Solving in R with Julia, the Language of Libraries
Francesco Martinuzzi: Google Summer of Code 2020 Final Report
High weak order solvers and adjoint sensitivity analysis for stochastic differential equations
Francesco Martinuzzi: GSoC week 11: Gated Recurring Unit-based reservoir
Francesco Martinuzzi: GSoC week 10: Reservoir Memory Machines
Francesco Martinuzzi: GSoC week 9: Cycle Reservoirs with Regular Jumps
Utkarsh's Blog: Second Evaluations (Parallel Extrapolation Methods)
Physics-informed neural networks (PINNs) solver on Julia. GSoC 2020. Second evaluation.
Ludovico: July deliverables: Two new surrogates methods and benchmarking
Francesco Martinuzzi: GSoC week 7: Reservoir Computing with Cellular Automata Part 1
Francesco Martinuzzi: GSoC week 6: minimum complexity echo state network
Kirill Zubov: Physics-informed neural networks (PINNs) solvers on Julia
Sebastian Callh personal blog: Forecasting the weather with neural ODEs
Utkarsh's Blog: Community Bonding & First Evaluation (BDF & NDF methods)
Ludovico: From JSOC to GSOC: a new beginning with Surrogates.jl
Francesco Martinuzzi: GSoC week 3: Echo State Gaussian Processes
SCIML: LOGICIELS LIBRES POUR L'APPRENTISSAGE MACHINE SCIENTIFIQUE
Francesco Martinuzzi: GSoC week 2: Support Vector Regression in Echo State Networks
Frank Schäfer: GSoC 2020: High weak order SDE solvers and their utility in neural SDEs
Modeling pandemics subject to stochastic uncertainties – A polynomial chaos approach
Francesco Martinuzzi: GSoC week 1: lasso, Elastic Net and Huber loss
Modelling and data analysis tools to study the 2020 COVID-19 outbreak
Kevin Hannay: Differential Equations as a Neural Network Layers
Safe Blues — The Measurement Tool for Responsible Easing of Social Distancing
Per-Olof Persson and Robert Sweeney Blanco: The DifferentialEquations Package
Current status of neural differential equations and the importance of language
Phylodynamics of SARS-CoV-2, Simon Frost (Microsoft Health Futures)
Francesco Martinuzzi: A brief introduction to Reservoir Computing
Nicolau Leal Werneck: Fitting the SIR model to Covid-19 fatality data
StochasticLifestyle: Recent advancements in differential equation solver software
StochasticLifestyle: A Collection of Jacobian Sparsity Acceleration Tools for Julia
StochasticLifestyle: The Essential Tools of Scientific Machine Learning (Scientific ML)
StochasticLifestyle: Neural Jump SDEs (Jump Diffusions) and Neural PDEs
JuliaLang: DiffEqFlux.jl – A Julia Library for Neural Differential Equations
StochasticLifestyle: Some State of the Art Packages in Julia v1.0
Mathieu Besançon: Winter warm-up: toy models for heat exchangers
UCI Data Science Initiative: A Quick Tour of DifferentialEquations.jl
StochasticLifestyle: Why Numba and Cython are not substitutes for Julia
Ronan Chagas: Using julia to simulate systems composed of continuous and discrete parts
StochasticLifestyle: Solving Systems of Stochastic PDEs and using GPUs in Julia
JuliaLang: GSoC 2017 : A Wrapper for the FEniCS Finite Element Toolbox
JuliaLang: GSoC 2017: Efficient Discretizations of PDE Operators
StochasticLifestyle: Some Fun With Julia Types: Symbolic Expressions in the ODE Solver
JuliaLang: GSoC 2017: Native Julia second order ODE and BVP solvers
Yiannis Simillides blog: FEniCS.jl: Second "Approximate" Month
Yiannis Simillides blog: FEniCS.jl: First "Approximate" Month
Mathieu Besançon: DifferentialEquations.jl - part 2: decision from the model
Mathieu Besançon: Getting started with DifferentialEquations.jl