2 papers
math.NA2026
New Adaptive Numerical Methods Based on Dual Formulation of Hyperbolic Conservation Laws
Alina Chertock, Qingcheng Fu, Alexander Kurganov +1
In this paper, we propose an adaptive high-order method for hyperbolic systems of conservation laws. The proposed method is based on a dual formulation approach: Two numerical solu…
nlin.PS2024
Birth, interactions, and evolution over topography of solitons in Serre-Green-Naghdi model
Qingcheng Fu, Alexander Kurganov, Mingye Na +1
New evidence of surprising robustness of solitary-wave solutions of the Serre-Green-Naghdi (SGN) equations is presented on the basis of high-resolution numerical simulations conduc…