2 papers
math.NA2026
A multilevel stochastic-gradient neural solver for boundary integral equations
Bing-Ze Lu, Richard Tsai
We develop a multilevel stochastic-gradient neural solver for boundary integral equations of the second kind. The unknown density is represented by a multilayer perceptron, trained…
math.AP2025
Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model
Luis Kaiser, Richard Tsai, Christian Klingenberg
In a variety of scientific and engineering domains, the need for high-fidelity and efficient solutions for high-frequency wave propagation holds great significance. Recent advances…