1 citations · 1 across the 4 of their papers we have counts for
4 papers
Bound-preserving OEDG schemes for Aw-Rascle-Zhang traffic models on networks
Wei Chen, Shumo Cui, Kailiang Wu +1
Physical solutions to the widely used Aw-Rascle-Zhang (ARZ) traffic model and the adapted pressure (AP) ARZ model should satisfy the positivity of density, the minimum and maximum…
Robust DG Schemes on Unstructured Triangular Meshes: Oscillation Elimination and Bound Preservation via Optimal Convex Decomposition
Shengrong Ding, Shumo Cui, Kailiang Wu
Discontinuous Galerkin (DG) schemes on unstructured meshes offer the advantages of compactness and the ability to handle complex computational domains. However, their robustness an…
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws
Shumo Cui, Alexander Kurganov, Kailiang Wu
Central-upwind (CU) schemes are Riemann-problem-solver-free finite-volume methods widely applied to a variety of hyperbolic systems of PDEs. Exact solutions of these systems typica…
A Hybrid Finite-Difference-Particle Method for Chemotaxis Models
Alina Chertock, Shumo Cui, Alexander Kurganov +1
Chemotaxis systems play a crucial role in modeling the dynamics of bacterial and cellular behaviors, including propagation, aggregation, and pattern formation, all under the influe…