百晓学者学者目录

KURGANOV Alexander

教授，南方科技大学

精选作品

期刊论文

2026

On conservative and nonconservative two-layer shallow water equations

Alexander Kurganov, Mingye Na, Владимир Викторович Остапенко

Journal of Computational Physics

DOI

2026

A new asymptotic-preserving dual formulation finite-volume method for the compressible Euler equations

Alina E. Chertock, Smadar Karni, Alexander Kurganov, Lorenzo Micalizzi

Computer Methods in Applied Mechanics and Engineering

DOI

2026

Novel Adaptive Schemes for Hyperbolic Conservation Laws

Shaoshuai Chu, Pingyao Feng, В. А. Колотилов, Alexander Kurganov, Владимир Викторович Остапенко

Communications in Computational Physics

DOI

2026

Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water linearized moment equations

Yangyang Cao, Qian Huang, Julian Koellermeier, Alexander Kurganov, Yongle Liu

Computers & Fluids

DOI

2026

Numerical analysis of stabilisation for random hyperbolic systems of conservation laws

Shaoshuai Chu, Michaël Herty, Alexander Kurganov

International Journal of Control

DOI

2025

Dual formulation finite-volume methods on overlapping meshes for hyperbolic conservation laws

Rémi Abgrall, Alina E. Chertock, Alexander Kurganov, Lorenzo Micalizzi

Computers & Fluids

DOI

2025

Magnetohydrodynamic thermal rotating shallow water systems

Yangyang Cao, Alexander Kurganov, Masoud Rostami, Chenxi Wang, Vladimir Zeitlin

Physical Review Fluids

DOI

2025

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

Qingcheng Fu, Yaguang Gu, Alexander Kurganov, Baoshan Wang

Journal of Scientific Computing

DOI

2025

Challenges in Stochastic Galerkin Methods for Nonlinear Hyperbolic Systems with Uncertainty

Alina E. Chertock, Michaël Herty, Alexander Kurganov, Mária Lukáčová-Medviďová

Springer eBooks

DOI

2025

Central-upwind scheme for the phase-transition traffic flow model

Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng

Journal of Computational Physics

DOI

2025

Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin

Communications in Computational Physics

DOI

2025

Flux globalization based well-balanced central-upwind schemes for the Euler equations with gravitation

Alexander Kurganov, Mingye Na

Computers & Fluids

DOI

2025

New More Efficient A-WENO Schemes

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

Journal of Scientific Computing

DOI

2025

A Hybrid Finite-Difference-Particle Method for Chemotaxis Models

Alina E. Chertock, Shumo Cui, Alexander Kurganov, Chenxi Wang

Journal of Scientific Computing

DOI

2025

Positivity-preserving new low-dissipation central-upwind schemes for compressible Euler equations

Shumo Cui, Yaguang Gu, Alexander Kurganov, Kailiang Wu, Ruixiao Xin

Journal of Computational Physics

DOI

2025

On the dynamics of equatorial excited dipolar systems

Yangyang Cao, Alexander Kurganov, Yongle Liu, Masoud Rostami, Vladimir Zeitlin

Physics of Fluids

DOI

2025

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

Alexander Kurganov, Yangyang Cao, Yongle Liu, Vladimir Zeitlin

DOI

2025

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs

Alina E. Chertock, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov

Lecture notes in computational science and engineering

DOI

2024

Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemesImage 1

Saeed Mohammadian, Zuduo Zheng, Shaoshuai Chu, Alexander Kurganov

Computers & Mathematics with Applications

DOI

2024

New adaptive low-dissipation central-upwind schemes

Shaoshuai Chu, Alexander Kurganov, Igor Stanislavovich Men'shov

Applied Numerical Mathematics

DOI

2024

Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws

Shumo Cui, Alexander Kurganov, Kailiang Wu

SIAM Journal on Scientific Computing

DOI

2024

Low-dissipation central-upwind schemes for compressible multifluids

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

Journal of Computational Physics

DOI

2024

Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD

Alina E. Chertock, Alexander Kurganov, Michael T. Redle, Vladimir Zeitlin

Journal of Computational Physics

DOI

2024

A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics

Alina E. Chertock, Alexander Kurganov, Michael T. Redle, Kailiang Wu

SIAM Journal on Scientific Computing

DOI

2024

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties

Alina E. Chertock, Michaël Herty, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov, Mária Lukáčová-Medviďová

Communications on Applied Mathematics and Computation

DOI

2024

A Fifth-Order A-WENO Scheme Based on the Low-Dissipation Central-Upwind Fluxes

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

SEMA SIMAI Springer series

DOI

2024

Accurate deterministic projection methods for stiff detonation waves

Alina E. Chertock, Shaoshuai Chu, Alexander Kurganov

Communications in Mathematical Sciences

DOI

2024

Novel local characteristic decomposition based path-conservative central-upwind schemes

Shaoshuai Chu, Michaël Herty, Alexander Kurganov

Journal of Computational Physics

DOI

2023

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

Yangyang Cao, Alexander Kurganov, Yongle Liu

Communications in Computational Physics

DOI

2023

New Low-Dissipation Central-Upwind Schemes

Alexander Kurganov, Ruixiao Xin

Journal of Scientific Computing

DOI

2023

Experimental convergence rate study for three shock‐capturing schemes and development of highly accurate combined schemes

Shaoshuai Chu, Olyana Aleksandrovna Kovyrkina, Alexander Kurganov, Владимир Викторович Остапенко

Numerical Methods for Partial Differential Equations

DOI

2023

A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

Xi Chen, Alexander Kurganov

Communications in Computational Physics

DOI

2023

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

Xi Chen, Alexander Kurganov, Yongle Liu

Journal of Scientific Computing

DOI

2023

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

Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng

Communications in Computational Physics

DOI

2023

Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator

Alina E. Chertock, Shaoshuai Chu, Alexander Kurganov

East Asian Journal on Applied Mathematics

DOI

2023

Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model

Alina E. Chertock, Alexander Kurganov, Mária Lukáčová-Medviďová, Peter Spichtinger, Bettina Wiebe

Journal of Computational Physics

DOI

2023

A diffuse-domain-based numerical method for a chemotaxis-fluid model

Chenxi Wang, Alina E. Chertock, Shumo Cui, Alexander Kurganov, Zhen Zhang

Mathematical Models and Methods in Applied Sciences

DOI

2023

Local Characteristic Decomposition Based Central-Upwind Scheme for Compressible Multifluids

Shaoshuai Chu, Alexander Kurganov

Springer proceedings in mathematics & statistics

DOI

2022

Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models

Shaoshuai Chu, Alexander Kurganov

CALCOLO

DOI

2022

Well-balanced path-conservative central-upwind schemes based on flux globalization

Alexander Kurganov, Yongle Liu, Ruixiao Xin

Journal of Computational Physics

DOI

2022

Well-balanced numerical method for atmospheric flow equations with gravity

Alina E. Chertock, Alexander Kurganov, Tong Wu, Jun Feng Yan

Applied Mathematics and Computation

DOI

2022

Fifth-order A-WENO schemes based on the path-conservative central-upwind method

Shaoshuai Chu, Alexander Kurganov, Mingye Na

Journal of Computational Physics

DOI

2022

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

Yangyang Cao, Alexander Kurganov, Yongle Liu, Ruixiao Xin

Journal of Scientific Computing

DOI

2022

Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system

Alexander Kurganov, Zhuolin Qu, Tong Wu

ESAIM Mathematical Modelling and Numerical Analysis

DOI

2022

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

Yangyang Cao, Alexander Kurganov, Yongle Liu, Vladimir Zeitlin

Journal of Computational Physics

DOI

2021

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

Alina E. Chertock, Alexander Kurganov, Xin Liu, Yongle Liu, Tong Wu

Journal of Scientific Computing

DOI

2021

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

Baoshan Wang, Wai Sun Don, Alexander Kurganov, Yongle Liu

Communications on Applied Mathematics and Computation

DOI

2021

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme

Alina E. Chertock, Shaoshuai Chu, Alexander Kurganov

Journal of Scientific Computing

DOI

2021

Interaction of tropical cyclone-like vortices with sea-surface temperature anomalies and topography in a simple shallow-water atmospheric model

Alexander Kurganov, Yongle Liu, Vladimir Zeitlin

Physics of Fluids

DOI

2021

Numerical dissipation switch for two-dimensional central-upwind schemes

Alexander Kurganov, Yongle Liu, Vladimir Zeitlin

ESAIM Mathematical Modelling and Numerical Analysis

DOI

2021

Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws

Naveen Kumar Garg, Alexander Kurganov, Yongle Liu

Journal of Computational Physics

DOI

2020

Adaptive Moving Mesh Central-Upwind Schemes for Hyperbolic System of PDEs: Applications to Compressible Euler Equations and Granular Hydrodynamics

Alexander Kurganov, Zhuolin Qu, Olga Sergeevna Rozanova, Tong Wu

Communications on Applied Mathematics and Computation

DOI

2020

Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations

Christian Klingenberg, Alexander Kurganov, Yongle Liu, Markus Zenk

Communications in Mathematical Research

DOI

2020

An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations

Mohammad A. Ghazizadeh, Abdolmajid Mohammadian, Alexander Kurganov

Computers & Fluids

DOI

2020

Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme

Alexander Kurganov, Yongle Liu, Vladimir Zeitlin

Geophysical & Astrophysical Fluid Dynamics

DOI

2020

Moist-convective thermal rotating shallow water model

Alexander Kurganov, Yongle Liu, Vladimir Zeitlin

Physics of Fluids

DOI

2020

A well-balanced central-upwind scheme for the thermal rotating shallow water equations

Alexander Kurganov, Yongle Liu, Vladimir Zeitlin

Journal of Computational Physics

DOI

2020

Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography

Alina E. Chertock, Alexander Kurganov, Tong Wu

Communications in Mathematical Sciences

DOI

2019

Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

Alina E. Chertock, Alexander Kurganov, Yongle Liu

Communications in Computational Physics

DOI

2019

Stochastic Galerkin method for cloud simulation

Alina E. Chertock, Alexander Kurganov, Mária Lukáčová-Medviďová, Peter Spichtinger, Bettina Wiebe

Mathematics of Climate and Weather Forecasting

DOI

2019

One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems

Xin Liu, Alina E. Chertock, Alexander Kurganov, Karlan Stephen Wolfkill

Journal of Scientific Computing

DOI

2019

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

Xin Liu, Alina E. Chertock, Alexander Kurganov

Journal of Computational Physics

DOI

2019

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations

Yuanzhen Cheng, Alina E. Chertock, Michaël Herty, Alexander Kurganov, Tong Wu

Journal of Scientific Computing

DOI

2019

Path-conservative central-upwind schemes for nonconservative hyperbolic systems

Manuel J. Castro, Alexander Kurganov, T. Morales de Luna

ESAIM Mathematical Modelling and Numerical Analysis

DOI

2019

Adaptive moving mesh upwind scheme for the two-species chemotaxis model

Alina E. Chertock, Alexander Kurganov, Mario Ricchiuto, Tong Wu

Computers & Mathematics with Applications

DOI

2018

Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system

Xin Liu, Jason Albright, Yekaterina Epshteyn, Alexander Kurganov

Journal of Computational Physics

DOI

2018

A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

Alina E. Chertock, Armando Coco, Alexander Kurganov, Giovanni Russo

Communications in Computational Physics

DOI

2018

Finite-volume schemes for shallow-water equations

Alexander Kurganov

Acta Numerica

DOI

2018

Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes

Alina E. Chertock, Shumo Cui, Alexander Kurganov, Şeyma Nur Özcan, Eitan Tadmor

Journal of Computational Physics

DOI

2018

On Convergence of Numerical Methods for Optimization Problems Governed by Scalar Hyperbolic Conservation Laws

Michaël Herty, Alexander Kurganov, Dmitry V. Kurochkin

Springer proceedings in mathematics & statistics

DOI

2017

Well-balanced schemes for the shallow water equations with Coriolis forces

Alina E. Chertock, Michael Dudzinski, Alexander Kurganov, Mária Lukáčová-Medviďová

Numerische Mathematik

DOI

2017

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems

Alina E. Chertock, Yekaterina Epshteyn, Hengrui Hu, Alexander Kurganov

Advances in Computational Mathematics

DOI

2017

A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles

Yuanzhen Cheng, Alina E. Chertock, Alexander Kurganov

Springer proceedings in mathematics & statistics

DOI

2016

Three-dimensional shallow water system: A relaxation approach

Xin Liu, Abdolmajid Mohammadian, Julio Ángel Infante Sedano, Alexander Kurganov

Journal of Computational Physics

DOI

预印本

2026

Novel Adaptive Methods for Hyperbolic Conservation Laws Based on New Quasi-Linear Seventh- and Ninth-Order Schemes

Shaoshuai Chu, Pingyao Feng, Vadim A. Kolotilov, Alexander Kurganov, Владимир Викторович Остапенко

arXiv (Cornell University)

DOI

2026

Fifth-Order Well-Balanced Path-Conservative A-WENO Scheme for the Ripa Model

Y L Qiu, Gao Z, Alexander Kurganov, Bao-Shan Wang, Xiao Wen

arXiv (Cornell University)

DOI

2026

A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics

Shaoshuai Chu, Alexander Kurganov, Mária Lukáčová-Medviďová, Mingye Na

SSRN Electronic Journal

DOI

2026

An Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Thermal Rotating Shallow Water Equations

Alina E. Chertock, Alexander Kurganov, Lorenzo Micalizzi, Nan Zhang

arXiv (Cornell University)

DOI

2025

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

Rémi Abgrall, Alina E. Chertock, Alexander Kurganov, Lorenzo Micalizzi

SSRN Electronic Journal

DOI

2025

Local Characteristic Decomposition-Based Central-Upwind Flux Splitting

Qingcheng Fu, Alexander Kurganov, Baoshan Wang

SSRN Electronic Journal

DOI

2024

Birth, interactions, and evolution over topography of solitons in Serre-Green-Naghdi model

Qingcheng Fu, Alexander Kurganov, Mingye Na, Vladimir Zeitlin

arXiv (Cornell University)

DOI

2024

On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws

Shaoshuai Chu, Igor L. Kliakhandler, Alexander Kurganov

SSRN Electronic Journal

DOI

书籍章节

2025

New Low-Dissipation Central-Upwind Schemes. Part II

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

Journal of Scientific Computing

DOI

2020

Monotonization of a Family of Implicit Schemes for the Burgers Equation

Alexander Kurganov, Petr N. Vabishchevich

Springer eBooks

DOI

2019

High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models

Alina E. Chertock, Alexander Kurganov

Modeling and simulation in science, engineering & technology

DOI

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