15 citations · 17 across the 3 of their papers we have counts for
3 papers
Numerical stability revisited: A family of benchmark problems for the analysis of explicit stochastic differential equation integrators
Thomas Hudson, Sarah Helfert, Xingjie Helen Li
We revisit the numerical stability of four well-established explicit stochastic integration schemes through a new generic benchmark stochastic differential equation designed to ass…
Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problems
Amanda A. Howard, Bruno Jacob, Sarah Helfert +2
Kolmogorov-Arnold networks (KANs) have attracted attention recently as an alternative to multilayer perceptrons (MLPs) for scientific machine learning. However, KANs can be expensi…
Stacked networks improve physics-informed training: applications to neural networks and deep operator networks
Amanda A Howard, Sarah H Murphy, Shady E Ahmed +1
Physics-informed neural networks and operator networks have shown promise for effectively solving equations modeling physical systems. However, these networks can be difficult or i…