2 papers
math.OC2021
Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
Approximating a function with a finite series, e.g., involving polynomials or trigonometric functions, is a critical tool in computing and data analysis. The construction of such a…
math.NA2020
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
A stochastic Galerkin formulation for a stochastic system of balanced or conservation laws may fail to preserve hyperbolicity of the original system. In this work, we develop hyper…