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math.NA2024★ 1 cited
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…
math.NA2024
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…