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math.NA2026
Efficient Weak-Entropy PINN for Solving Hyperbolic Conservation Laws
Qi Gao, Kuang Huang, Xuan Di
In recent years, neural networks have significantly advanced numerical solutions of partial differential equations (PDEs). However, solving PDEs with discontinuous solutions, such…
math.NA2023★ 2 cited
Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model
Kuang Huang, Qiang Du
This paper considers numerical discretization of a nonlocal conservation law modeling vehicular traffic flows involving nonlocal inter-vehicle interactions. The nonlocal model invo…