most citedDelayDiffEq: Generating Delay Differential Equation Solvers via Recursive Embedding of Ordinary Differential Equation Solvers

3 citations · 9 across the 5 of their papers we have counts for

collaborators

5 papers

cs.CE2023

Efficient hybrid modeling and sorption model discovery for non-linear advection-diffusion-sorption systems: A systematic scientific machine learning approach

Vinicius V. Santana, Erbet Costa, Carine M. Rebello +3

This study presents a systematic machine learning approach for creating efficient hybrid models and discovering sorption uptake models in non-linear advection-diffusion-sorption sy…

stat.AP20233 cited

A Practitioner's Guide to Bayesian Inference in Pharmacometrics using Pumas

Mohamed Tarek, Jose Storopoli, Casey Davis +4

This paper provides a comprehensive tutorial for Bayesian practitioners in pharmacometrics using Pumas workflows. We start by giving a brief motivation of Bayesian inference for ph…

cs.LG20232 cited

Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed!

Avik Pal, Alan Edelman, Chris Rackauckas

Implicit layer deep learning techniques, like Neural Differential Equations, have become an important modeling framework due to their ability to adapt to new problems automatically…

math.NA20223 cited

DelayDiffEq: Generating Delay Differential Equation Solvers via Recursive Embedding of Ordinary Differential Equation Solvers

David Widmann, Chris Rackauckas

Traditional solvers for delay differential equations (DDEs) are designed around only a single method and do not effectively use the infrastructure of their more-developed ordinary…

math.NA20221 cited

Parallelizing Explicit and Implicit Extrapolation Methods for Ordinary Differential Equations

Utkarsh, Chris Elrod, Yingbo Ma +1

Numerically solving ordinary differential equations (ODEs) is a naturally serial process and as a result the vast majority of ODE solver software are serial. In this manuscript we…