Current Appointments & Affiliations
Phillip Griffiths Assistant Research Professor of Mathematics
·
2024 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2024 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
STABILITY FOR INVERSE RANDOM SOURCE PROBLEMS OF THE POLYHARMONIC WAVE EQUATION
Journal Article Inverse Problems and Imaging · April 1, 2026 This paper investigates stability estimates for inverse source problems in the stochastic polyharmonic wave equation in three dimensions, where the source is represented by white noise. The study examines the well-posedness of the direct problem and derive ... Full text CiteFrom Frequency Bias to Spectral Balance: Operator-Aware Preconditioners for PINNs
Preprint · February 28, 2026 Link to item CiteWhat can one expect when solving PDEs using shallow neural networks?
Journal Article Handbook of Numerical Analysis · January 1, 2026 We use elliptic partial differential equations (PDEs) as examples to show various properties and behaviors when shallow neural networks (SNNs) are used to represent the solutions. In particular, we study the numerical ill-conditioning, frequency bias, and ... Full text CiteEducation
Chinese University of Hong Kong (Hong Kong) ·
2021
Ph.D.