Publications

In preparation

  1. Dihan Dai, Yekaterina Epshteyn, and Akil Narayan, Projection-Based Hyperbolic-Preserving Numerical Schemes for Stochastic Galerkin System of Shallow Water Equations
  2. Dihan Dai, Yekaterina Epshteyn, and Akil Narayan, Energy Stable Scheme for Stochastic Galerkin System of Shallow Water Equations

Submitted

  1. Dihan Dai, Yekaterina Epshteyn, and Akil Narayan. “Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations” [arXiv]
  2. Dihan Dai, Yekaterina Epshteyn, and Akil Narayan, “Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization” [arXiv]

Published

  1. Dihan Dai, Yekaterina Epshteyn, and Akil Narayan. “Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations” SIAM Journal on Scientific Computing 43.2 (2021): A929-A952. [doi]