Spectral methods for solving elliptic PDEs on unknown manifolds. - Qile Yan; Shixiao Willing Jiang; John Harlim (J. Comput. Phys., 2023)

Kernel-Based Methods for Solving Time-Dependent Advection-Diffusion Equations on Manifolds. - Qile Yan; Shixiao W. Jiang; John Harlim (J. Sci. Comput., 2023)

Generalized Moving Least-Squares for Solving Vector-valued PDEs on Unknown Manifolds. - Rongji Li; Qile Yan; Shixiao W. Jiang (CoRR, 2024)

Solving forward and inverse PDE problems on unknown manifolds via physics-informed neural operators. - Anran Jiao; Qile Yan; John Harlim; Lu Lu 010 (CoRR, 2024)

Generalized finite difference method on unknown manifolds. - Shixiao Willing Jiang; Rongji Li; Qile Yan; John Harlim (J. Comput. Phys., 2024)