Chair Professor
Shenzhen International Center for Mathematics
Southern University of Science and Technology (SUSTech)
Shenzhen, China
E-mails : alexander@sustech.edu.cn
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Research Interests:
Numerical Methods for Time Dependent PDEs
Hyperbolic Conservation and Balance Laws
Finite-Volume Methods
Well-Balanced Schemes
Shallow Water Models
Numerical Study of Random Kelvin-Helmholtz Instability
Numerical Analysis of Stabilization for Random Hyperbolic Systems of Balance Laws
Dual Formulation Finite-Volume Methods on Overlapping Meshes for Hyperbolic Conservation Laws
Novel Adaptive Schemes for Hyperbolic Conservation Laws
Magnetohydrodynamic Thermal Rotating Shallow Water Systems
Local Characteristic Decomposition of Equilibrium Variables for Hyperbolic Systems of Balance Laws
On Conservative and Nonconservative Two-Layer Shallow Water Equations
Yongle Liu, Visiting Scholar
Well-Balanced Path-Conservative Central-Upwind Schemes Based on Flux Globalization
Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes
Well-Balancing Via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts
Numerical Dissipation Switch for Two-Dimensional Central-Upwind Schemes
Semi-Discrete Central-Upwind Rankine-Hugoniot Schemes for Hyperbolic Systems of Conservation Laws
Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations
Moist-Convective Thermal Rotating Shallow Water Model
A Well-Balanced Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations
Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System
Shaoshuai Chu, PhD student
Local Characteristic Decomposition Based Central-Upwind Scheme
Experimental Convergence Rate Study for Three Shock-Capturing Schemes
An Accurate Deterministic Projection Method for Two-Dimensional Stiff Detonation Waves
Flux Globalization Based Well-Balanced Central-Upwind Scheme for One-Dimensional Blood Flow Models
Fifth-Order A-WENO Schemes Based on the Path-Conservative Central-Upwind Method
Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme
My former Postdocs:
Naveen Garg
My Former PhD Students:
Jeremy Dewar
Dmitry Kurochkin
Yu Liu
Jason Miller
Anthony Polizzi
Michael Pollack
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