3 papers
math.NA2025
A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics
Shaoshuai Chu, Alexander Kurganov, Maria Lukacova-Medvidova +1
We introduce a locally divergence-free local characteristic decomposition based path-conservative central-upwind (LCD-PCCU) scheme for ideal magnetohydrodynamics (MHD) equations. T…
math.NA2024
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…
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…