40 citations · 263 across the 13 of their papers we have counts for
Showing 2023 · math.NAShow all
3 papers · 2 filters
math.NA2023★ 9 cited
High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes
Zhihao Zhang, Huazhong Tang, Junming Duan
This paper develops high-order well-balanced (WB) energy stable (ES) finite difference schemes for multi-layer (the number of layers ) shallow water equations (SWEs)…
math.NA2023★ 15 cited
High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography
Zhihao Zhang, Junming Duan, Huazhong Tang
This paper proposes high-order accurate well-balanced (WB) energy stable (ES) adaptive moving mesh finite difference schemes for the shallow water equations (SWEs) with non-flat bo…
math.NA2023★ 40 cited
Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems
Junming Duan, Jan S. Hesthaven
Reduced-order models are indispensable for multi-query or real-time problems. However, there are still many challenges to constructing efficient ROMs for time-dependent parametrize…