2 papers
math.DS2024
Physics-informed neural networks for aggregation kinetics
Farzona Mukhamedova, Ivan Tyukin, Nikolai Brilliantov
We introduce a novel physics-informed approach for accurately modeling aggregation kinetics which provides a comprehensive solution in a single run by outputting all model paramete…
math.NA2023
Knowledge-Informed Neuro-Integrators for Aggregation Kinetics
Dmitrii Lukashevich, Ivan Tyukin, Nikolay Brilliantov
We report a novel approach for the efficient computation of solutions of a broad class of large-scale systems of non-linear ordinary differential equations, describing aggregation…