4 papers · 1 filter
A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization
Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
We construct a new fifth-order flux globalization based well-balanced (WB) alternative weighted essentially non-oscillatory (A-WENO) scheme for general nonconservative systems. The…
Local Characteristic Decomposition of Equilibrium Variables for Hyperbolic Systems of Balance Laws
Shaoshuai Chu, Alexander Kurganov, Mingye Na +2
This paper is concerned with high-order numerical methods for hyperbolic systems of balance laws. Such methods are typically based on high-order piecewise polynomial reconstruction…
CWENO Interpolation for Non-Oscillatory Stochastic Collocation in Uncertainty Quantification Problems
Alina Chertock, Arsen S. Iskhakov, Anna Iskhakova +1
Uncertainty quantification (UQ) in mathematical models is essential for accurately predicting system behavior under variability. This study provides guidance on method selection fo…
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…