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Alexander Kurganov
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Alexander Kurganov
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  • Unrefereed Publications
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    • Publications
    • Unrefereed Publications

Alexander Kurganov

Chair Professor

Department of Mathematics and

Shenzhen International Center for Mathematics  

Southern University of Science and Technology (SUSTech)

Shenzhen, China

E-mails : alexander@sustech.edu.cn

               kurganov69@gmail.com


Curriculum Vitae


Publications

Unrefereed Publications

Research Interests:

Numerical Methods for Time Dependent PDEs

Hyperbolic Conservation and Balance Laws

Finite-Volume Methods

Well-Balanced Schemes

Shallow Water Models 


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



Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations



A New Semi-Discrete Finite-Volume Active Flux Method for Hyperbolic Conservation Laws



New Smoothness Indicator Within an Active Flux Framework



Bound- and Positivity-Preserving Path-Conservative Central-Upwind AWENO Scheme for the Five-Equation Model of Compressible Two-Component Flows


Locally Divergence-Free Well-Balanced Path-Conservative Central-Upwind Schemes for Magnetic Thermal Rotating Shallow Water Equations



New Low-Dissipation Central-Upwind Scheme for Relativistic Hydrodynamics



My PhD Advisor: Eitan Tadmor 

My Major Collaborator: Alina Chertock 


My research group: 

Yangyang Cao, Postdoc

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for Two-Layer Thermal Rotating Shallow Water Equations


Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models 

Yongle Liu, Visiting Scholar

Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy


Well-Balanced Path-Conservative Central-Upwind Schemes Based on Flux Globalization


Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for Two-Layer Thermal Rotating Shallow Water Equations


Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes


Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models


A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography


Well-Balancing Via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts


Interaction of Tropical Cyclone-Like Vortices with Sea-Surface Temperature Anomalies and Topography in a Simple Shallow-Water Atmospheric Model


Numerical Dissipation Switch for Two-Dimensional Central-Upwind Schemes


Thermal vs Isothermal Rotating Shallow Water Equations: Comparison of Dynamical Processes in Two Models by Simulations with a Novel Well-Balanced Central-Upwind Scheme


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

Xi Chen, PhD student

Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy


Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System

Shaoshuai Chu, PhD student

Local Characteristic Decomposition Based Central-Upwind Scheme


Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models


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

Mingye Na, PhD student

A Well-Balanced Flux Globalization Based Central-Upind Scheme for the Shallow Water Flows in Channels


Fifth-Order A-WENO Schemes Based on the Path-Conservative Central-Upwind Method

Ruixiao Xin, Research Assistant

Well-Balanced Path-Conservative Central-Upwind Schemes Based on Flux Globalization


Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models

My former Postdocs:

Naveen Garg

Xin Liu 


My Former PhD Students:

Yuanzhen Cheng 

Shumo Cui 

Jeremy Dewar

Dmitry Kurochkin

Yu Liu

Jason Miller

Anthony Polizzi

Michael Pollack

Zhuolin Qu 

Tong Wu 

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