3 papers
math.NA2022
Adaptive Central-Upwind Scheme on Triangular Grids for the Shallow Water Model with variable density
Thuong Nguyen
In this paper, we construct a robust adaptive central-upwind scheme on unstructured triangular grids for two-dimensional shallow water equations with variable density. The method i…
math.NA2020
Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System
Yekaterina Epshteyn, Thuong Nguyen
In this work, we develop a robust adaptive well-balanced and positivity-preserving central-upwind scheme on unstructured triangular grids for shallow water equations. The numerical…
math.AP2015
Singularly Perturbed Control Systems with Noncompact Fast Variable
Thuong Nguyen, Antonio Siconolfi
We deal with a singularly perturbed optimal control problem with slow and fast variable depending on a parameter ε. We study the asymptotic, as ε goes to 0, of the corresponding va…