Publications
In preparation
- Dihan Dai, Yekaterina Epshteyn, and Akil Narayan, Projection-Based Hyperbolic-Preserving Numerical Schemes for Stochastic Galerkin System of Shallow Water Equations
- Dihan Dai, Yekaterina Epshteyn, and Akil Narayan, Energy Stable Scheme for Stochastic Galerkin System of Shallow Water Equations
Submitted
- Dihan Dai, Yekaterina Epshteyn, and Akil Narayan. “Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations” [arXiv]
- Dihan Dai, Yekaterina Epshteyn, and Akil Narayan, “Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization” [arXiv]
Published
- 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]