Publications 2024

A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances
Shreyas Ekanathan, Oscar Smith, Christopher Rackauckas.
arXiv (2024). DOI:10.48550/arXiv.2412.14362.
Accelerating Neural Network Interatomic Potentials through Dimension Reduction Using Julia
Rabab Alomairy, Emmanuel Lujan, Spencer Wyant, Julian Samaroo, Joanna Zou, Ralf Meyer, Alan Edelman.
Women in Data Science (WiDS) Cambridge (2024). DOI:.
Automated translation and accelerated solving of differential equations on multiple GPU platforms
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas.
Computer Methods in Applied Mechanics and Engineering (2024). DOI:10.1016/j.cma.2023.116591.
Automating Heterogeneous Parallelism in Numerical Differential Equations
Utkarsh.
(2024).
Backpropagation through Back Substitution with a Backslash
Alan Edelman, Ekin Akyürek, Yuyang Wang.
SIAM Journal on Matrix Analysis and Applications (2024). DOI:10.1137/22M1532871.
Convex Network Flows
Theo Diamandis, Guillermo Angeris, Alan Edelman.
arXiv (2024). DOI:10.48550/arXiv.2404.00765.
Differentiable Programming for Differential Equations : A Review
Facundo Sapienza, Jordi Bolibar, Frank Schäfer, Brian Groenke, Avik Pal, Victor Boussange, Patrick Heimbach, Giles Hooker, Fernando Pérez, Per-Olof Persson, Christopher Rackauckas.
arXiv (2024). DOI:10.48550/arXiv.2406.09699.
Hybrid Symbolic - Numeric and Numerically - Assisted Symbolic Integration
Shahriar Iravanian, Shashi Gowda, Christopher Rackauckas.
Association for Computing Machinery (2024). DOI:10.1145/3666000.3669714.
Increasing spectral DCM flexibility and speed by leveraging Julia ’s ModelingToolkit and automated differentiation
David Hofmann, Anthony G. Chesebro, Chris Rackauckas, Lilianne R. Mujica-Parodi, Karl J. Friston, Alan Edelman, Helmut H. Strey.
bioRxiv (2024). DOI:10.1101/2023.10.27.564407.
Mapping Out Phase Diagrams with Generative Classifiers
Julian Arnold, Frank Schäfer, Alan Edelman, Christoph Bruder.
Physical Review Letters (2024). DOI:10.1103/PhysRevLett.132.207301.
Oceananigans.jl: A Julia library that achieves breakthrough resolution , memory and energy efficiency in global ocean simulations
Simone Silvestri, Gregory L. Wagner, Christopher Hill, Matin Raayai Ardakani, Johannes Blaschke, Jean-Michel Campin, Valentin Churavy, Navid C. Constantinou, Alan Edelman, John Marshall, Ali Ramadhan, Andre Souza, Raffaele Ferrari.
arXiv (2024). DOI:10.48550/arXiv.2309.06662.
On a perturbation analysis of Higham squared maximum Gaussian elimination growth matrices
Alan Edelman, John Urschel, Bowen Zhu.
arXiv (2024). DOI:10.48550/arXiv.2406.00737.
On the Limit of the Tridiagonal Model for \$β\$- Dyson Brownian Motion
Alan Edelman, Sungwoo Jeong, Ron Nissim.
arXiv (2024). DOI:10.48550/arXiv.2411.01633.
Performance Bounds for Quantum Feedback Control
Flemming Holtorf, Frank Schäfer, Julian Arnold, Christopher Rackauckas, Alan Edelman.
IEEE Transactions on Automatic Control (2024). DOI:10.1109/TAC.2024.3416008.
Solving the Convex Flow Problem
Theo Diamandis, Guillermo Angeris.
arXiv (2024). DOI:10.48550/arXiv.2408.11040.
Some New Results on the Maximum Growth Factor in Gaussian Elimination
Alan Edelman, John Urschel.
SIAM Journal on Matrix Analysis and Applications (2024). DOI:10.1137/23M1571903.
Uncertainty quantified discovery of chemical reaction systems via Bayesian scientific machine learning
Emily Nieves, Raj Dandekar, Chris Rackauckas.
Frontiers in Systems Biology (2024). DOI:10.3389/fsysb.2024.1338518.
DataInterpolations .jl: Fast Interpolations of 1D data
Sathvik Bhagavan, Bart de Koning, Shubham Maddhashiya, Christopher Rackauckas.
Journal of Open Source Software (2024). DOI:10.21105/joss.06917.
NonlinearSolve .jl: High - Performance and Robust Solvers for Systems of Nonlinear Equations in Julia
Avik Pal, Flemming Holtorf, Axel Larsson, Torkel Loman, Utkarsh, Frank Schäefer, Qingyu Qu, Alan Edelman, Chris Rackauckas.
arXiv (2024). DOI:10.48550/arXiv.2403.16341.
SBMLToolkit .jl: a Julia package for importing SBML into the SciML ecosystem
Paul F. Lang, Anand Jain, Christopher Rackauckas.
Journal of Integrative Bioinformatics (2024). DOI:10.1515/jib-2024-0003.