2 papers
math.NA2026
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…
cs.LG2025
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…