| DifferentialEquations.jl – a performant and feature-rich ecosystem for solving differential equations in Julia C Rackauckas, Q Nie Journal of Open Research Software 5 (1), 2017 | 1721 | 2017 |
| Universal differential equations for scientific machine learning C Rackauckas, Y Ma, J Martensen, C Warner, K Zubov, R Supekar, ... arXiv preprint arXiv:2001.04385, 2020 | 956* | 2020 |
| Generalized physics-informed learning through language-wide differentiable programming C Rackauckas, A Edelman, K Fischer, M Innes, E Saba, VB Shah, ... 2020 AAAI Spring Symposium on Machine Learning for Physical Sciences (MLPS), 2021 | 272* | 2021 |
| A machine learning-aided global diagnostic and comparative tool to assess effect of quarantine control in COVID-19 spread R Dandekar, C Rackauckas, G Barbastathis Patterns 1 (9), 2020 | 246* | 2020 |
| Stiff neural ordinary differential equations S Kim, W Ji, S Deng, Y Ma, C Rackauckas Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (9), 2021 | 189 | 2021 |
| A comparison of automatic differentiation and continuous sensitivity analysis for derivatives of differential equation solutions Y Ma, V Dixit, MJ Innes, X Guo, C Rackauckas 2021 IEEE High Performance Extreme Computing Conference (HPEC), 1-9, 2021 | 181 | 2021 |
| Differentiable modelling to unify machine learning and physical models for geosciences C Shen, AP Appling, P Gentine, T Bandai, H Gupta, A Tartakovsky, ... Nature Reviews Earth & Environment 4 (8), 552-567, 2023 | 168 | 2023 |
| Modelingtoolkit: A composable graph transformation system for equation-based modeling Y Ma, S Gowda, R Anantharaman, C Laughman, V Shah, C Rackauckas arXiv preprint arXiv:2103.05244, 2021 | 122 | 2021 |
| Neuralpde: Automating physics-informed neural networks (pinns) with error approximations K Zubov, Z McCarthy, Y Ma, F Calisto, V Pagliarino, S Azeglio, L Bottero, ... arXiv preprint arXiv:2107.09443, 2021 | 112 | 2021 |
| Adaptive methods for stochastic differential equations via natural embeddings and rejection sampling with memory C Rackauckas, Q Nie Discrete and continuous dynamical systems. Series B 22 (7), 2731, 2017 | 94 | 2017 |
| High-performance symbolic-numerics via multiple dispatch S Gowda, Y Ma, A Cheli, M Gwóźzdź, VB Shah, A Edelman, ... ACM Communications in Computer Algebra 55 (3), 92-96, 2022 | 91 | 2022 |
| Bayesian neural ordinary differential equations R Dandekar, K Chung, V Dixit, M Tarek, A Garcia-Valadez, KV Vemula, ... Languages for Inference (LAFI) 2021 - POPL 2021, 2020 | 76 | 2020 |
| Accelerated predictive healthcare analytics with Pumas, a high performance pharmaceutical modeling and simulation platform C Rackauckas, Y Ma, A Noack, V Dixit, PK Mogensen, S Byrne, ... | 65 | 2020 |
| Plots.jl--a user extendable plotting API for the julia programming language S Christ, D Schwabeneder, C Rackauckas arXiv preprint arXiv:2204.08775, 2022 | 56 | 2022 |
| Julia for biologists E Roesch, JG Greener, AL MacLean, H Nassar, C Rackauckas, TE Holy, ... Nature methods 20 (5), 655-664, 2023 | 52 | 2023 |
| Automatic differentiation of programs with discrete randomness G Arya, M Schauer, F Schäfer, C Rackauckas Advances in Neural Information Processing Systems 35, 10435-10447, 2022 | 48 | 2022 |
| Confederated modular differential equation APIs for accelerated algorithm development and benchmarking C Rackauckas, Q Nie Advances in Engineering Software 132, 1-6, 2019 | 46 | 2019 |
| Noise modulation in retinoic acid signaling sharpens segmental boundaries of gene expression in the embryonic zebrafish hindbrain J Sosnik, L Zheng, CV Rackauckas, M Digman, E Gratton, Q Nie, ... Elife 5, e14034, 2016 | 46 | 2016 |
| Opening the Blackbox: Accelerating Neural Differential Equations by Regularizing Internal Solver Heuristics A Pal, Y Ma, V Shah, C Rackauckas The Thirty-eighth International Conference on Machine Learning (ICML), 2021 | 45 | 2021 |
| Stability-optimized high order methods and stiffness detection for pathwise stiff stochastic differential equations C Rackauckas, Q Nie 2020 IEEE High Performance Extreme Computing Conference (HPEC), 1-8, 2020 | 40 | 2020 |
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