3 papers
math.NA2025
CLINN: Conservation Law Informed Neural Network for Approximating Discontinuous Solutions
Weiheng Zeng, Kun Wang, Ruoxi Lu +1
Physics-informed Neural Network (PINN) faces significant challenges when approximating solutions to conservation laws, particularly in ensuring conservation and accurately resolvin…
physics.flu-dyn2025
Hybrid Compact Least-Squares and Central Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws on Structured Curvilinear Grids
Jianhua Pan, Luxin Li, Ji Yin +1
A series of third- and fifth-order hybrid compact least-squares central weighted essentially non-oscillatory schemes are proposed and applied to curvilinear structured grids for th…
physics.flu-dyn2025
A Third-Order Weighted Essentially Non-Oscillatory Compact Least-Squares Scheme for Hyperbolic Conservation Laws on Non-Uniform Grids
Jianhua Pana, Luxin Li, Wei-Gang Zeng
A third-order weighted essentially non-oscillatory compact least-squares scheme is developed for the finite volume method on structured curvilinear non-uniform grids. The proposed…