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20222026
most citedNew Adaptive Low-Dissipation Central-Upwind Schemes

4 citations · 7 across the 10 of their papers we have counts for

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Showing 2025Show all

5 papers · 1 filter

math.NA2025

New Fully Discrete Active Flux Methods with Truly Multi-Dimensional Evolution Operators and WENO Reconstruction

Amelie Porfetye, Zhuyan Tang, Shaoshuai Chu +2

We propose new fully discrete third-order accurate Active Flux and WENO methods based on truly multidimensional evolution operators for the two-dimensional acoustic equations. Buil…

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.NA2025

Novel Adaptive Schemes for Hyperbolic Conservation Laws

Shaoshuai Chu, Pingyao Feng, Vadim A. Kolotilov +2

We introduce new adaptive schemes for the one- and two-dimensional hyperbolic systems of conservation laws. Our schemes are based on an adaption strategy recently introduced in [{\…

math.NA2025

Central-Upwind Scheme for the Phase-Transition Traffic Flow Model

Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian +1

Phase-transition models are an important family of non-equilibrium continuum traffic flow models, offering properties like replicating complex traffic phenomena, maintaining anisot…

math.NA2025

New More Efficient A-WENO Schemes

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

We develop new more efficient A-WENO schemes for both hyperbolic systems of conservation laws and nonconservative hyperbolic systems. The new schemes are a very simple modification…