Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (CoRR, 2021)

Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (SIAM J. Sci. Comput., 2021)

Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (J. Comput. Phys., 2022)

Energy Stable and Structure-Preserving Schemes for the Stochastic Galerkin Shallow Water Equations. - Dihan Dai; Yekaterina Epshteyn; Akil Narayan 001 (CoRR, 2023)