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Alexander Kurganov

Southern University of Science and Technology

No 1088, xueyuan Rd.

Xili, Nanshan District

Shenzhen, 518055

China

SCHOLARLY PAPERS

20

DOWNLOADS

936

TOTAL CITATIONS

17

Scholarly Papers (20)

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

Number of pages: 39 Posted: 23 Apr 2025
Qingcheng Fu, Yaguang Gu, Alexander Kurganov and Bao-Shan Wang
Southern University of Science and Technology, South China University of Technology, Southern University of Science and Technology and Ocean University of China
Downloads 62 (957,329)

Abstract:

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Bound-preserving schemes, positivity-preserving schemes, path-conservative central-upwind schemes, AWENO schemes, five-equation model, compressible two-component flow

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

Number of pages: 37 Posted: 13 Jan 2025
Qingcheng Fu, Yaguang Gu, Alexander Kurganov and Bao-Shan Wang
Southern University of Science and Technology, South China University of Technology, Southern University of Science and Technology and Ocean University of China
Downloads 56 (1,017,159)

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bound-preserving schemes, positivity-preserving schemes, path-conservative central-upwind schemes, AWENO schemes, five-equation model, compressible two-component flow

2.

Positivity-Preserving New Low-Dissipation Central-Upwind Schemes for Compressible Euler Equations

Number of pages: 21 Posted: 16 Nov 2024
Shumo Cui, Yaguang Gu, Alexander Kurganov, Kailiang Wu and Ruixiao Xin
Southern University of Science and Technology, South China University of Technology, Southern University of Science and Technology, Southern University of Science and Technology and Southern University of Science and Technology
Downloads 100 (689,572)
Citation 3

Abstract:

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Low-dissipation central-upwind schemes, positivity-preserving methods, bound-preserving methods, compressible Euler equations

3.

New More Efficient A-Weno Schemes

Number of pages: 5 Posted: 20 Jun 2023
Shaoshuai Chu, Alexander Kurganov and Ruixiao Xin
Southern University of Science and Technology, Southern University of Science and Technology and Southern University of Science and Technology
Downloads 88 (759,537)

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Finite-difference schemes, A-WENO schemes, Finite-volume numerical fluxes, High-order correction terms, Hyperbolic conservation laws

4.

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

Number of pages: 29 Posted: 16 Feb 2022
Alexander Kurganov, Yongle Liu and Ruixiao Xin
Southern University of Science and Technology, Southern University of Science and Technology and Southern University of Science and Technology
Downloads 71 (867,774)
Citation 3

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flux globalization, path-conservative central-upwind schemes, well-balanced schemes, nozzle flow

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

Number of pages: 44 Posted: 23 Apr 2025
Shenzhen MSU-BIT University, Southern University of Science and Technology, affiliation not provided to SSRN, Southern University of Science and Technology and Sorbonne University
Downloads 39 (1,238,337)

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Magnetic thermal rotating shallow water equations, divergence-free constraints, path-conservative central-upwind scheme, flux globalization based well-balanced scheme

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

Number of pages: 44 Posted: 06 May 2025
Shenzhen MSU-BIT University, Southern University of Science and Technology, affiliation not provided to SSRN, Southern University of Science and Technology and Sorbonne University
Downloads 28 (1,400,723)

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Magnetic thermal rotating shallow water equations, divergence-free constraints, path-conservative central-upwind scheme, flux globalization based well-balanced scheme

6.

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

Number of pages: 44 Posted: 07 Dec 2023
Yangyang Cao, Alexander Kurganov, Yongle Liu and Vladimir Zeitlin
Shenzhen MSU-BIT University, Southern University of Science and Technology, Southern University of Science and Technology and Sorbonne University
Downloads 55 (1,010,164)
Citation 2

Abstract:

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two-layer thermal rotating shallow water equations, well-balanced schemes, flux globalization, path-conservative central-upwind schemes

7.

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

Number of pages: 37 Posted: 21 Apr 2022
Yangyang Cao, Alexander Kurganov, Yongle Liu and Vladimir Zeitlin
Southern University of Science and Technology, Southern University of Science and Technology, Southern University of Science and Technology and Sorbonne University
Downloads 54 (1,020,567)
Citation 6

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two-layer thermal rotating shallow water equations, Well-Balanced Schemes, flux globalization, path-conservative central-upwind schemes

8.

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

Number of pages: 24 Posted: 19 Aug 2024
Chu Shaoshuai, Alexander Kurganov, Saeed Mohammadian and Zuduo Zheng
RWTH Aachen University, Southern University of Science and Technology, University of Queensland and University of Queensland
Downloads 46 (1,109,210)

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Finite-volume methods, central-upwind schemes, phase-transition traffic flow model, free traffic flow, congested traffic flow

9.

Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics

Number of pages: 47 Posted: 11 Dec 2023
Alina Chertock, Alexander Kurganov, Michael Redle and Vladimir Zeitlin
North Carolina State University, Southern University of Science and Technology, RWTH Aachen University and Sorbonne University
Downloads 44 (1,133,231)

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Rotating shallow water magnetohydrodynamics, divergence-free constraints, nonconservative hyperbolic systems of nonlinear PDEs, path-conservative central-upwind scheme, flux globalization based well-balanced scheme

10.

Low-Dissipation Central-Upwind Schemes for Compressible Multifluids

Number of pages: 39 Posted: 08 Aug 2023
Shaoshuai Chu, Alexander Kurganov and Ruixiao Xin
Southern University of Science and Technology, Southern University of Science and Technology and Southern University of Science and Technology
Downloads 43 (1,145,425)

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low-dissipation central-upwind schemes, path-conservative central-upwind schemes, flux globalization, affine-invariant WENO-Z interpolation, compressible multifluids

11.

On Conservative and Nonconservative Two-Layer Shallow Water Equations

Number of pages: 14 Posted: 30 Jul 2025
Alexander Kurganov, Mingye Na and Vladimir V. Ostapenko
Southern University of Science and Technology, Southern University of Science and Technology and affiliation not provided to SSRN
Downloads 41 (1,170,409)

Abstract:

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two-layer shallow water equations, conservative form, nonconservative form, well-balanced methods, central-upwind schemes, path-conservative central-upwind scheme

12.

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

Number of pages: 23 Posted: 06 May 2025
University of Zurich, North Carolina State University, Southern University of Science and Technology and North Carolina State University
Downloads 38 (1,249,711)

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active flux methods, overlapping staggered meshes, path-conservative central-upwind schemes, conservative post-processing states

13.

Flux Globalization Based Well-Balanced Central-Upwind Schemes for the Euler Equations with Gravitation

Number of pages: 22 Posted: 22 Nov 2024
Alexander Kurganov and Mingye Na
Southern University of Science and Technology and Southern University of Science and Technology
Downloads 38 (1,209,354)

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Euler equations of gas dynamics with gravitation, well-balanced methods, flux globalization, central-upwind schemes, non-hydrostatic equilibria

14.

Local Characteristic Decomposition-Based Central-Upwind Flux Splitting

Number of pages: 20 Posted: 20 Aug 2025
Qingcheng Fu, Alexander Kurganov and Bao-Shan Wang
Southern University of Science and Technology, Southern University of Science and Technology and Ocean University of China
Downloads 34 (1,263,436)

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Hyperbolic systems of conservation laws, central-upwind numerical fluxes, WENO schemes, flux splitting, local characteristic decomposition, Euler equations of gas dynamics

15.

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

Number of pages: 11 Posted: 30 Jul 2024
Shaoshuai Chu, Igor Kliakhandler and Alexander Kurganov
Southern University of Science and Technology, Michigan Technological University and Southern University of Science and Technology
Downloads 26 (1,372,601)

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Viscosity matrices, hyperbolic systems of conservation laws, Saint-Venant system of shallow water equations

16.

Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes

Number of pages: 29 Posted: 10 May 2024
Shaoshuai Chu, Michael Herty and Alexander Kurganov
Southern University of Science and Technology, RWTH Aachen University and Southern University of Science and Technology
Downloads 24 (1,399,036)

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local characteristic decomposition, path-conservative central-upwind schemes, flux globalization, compressible multifluids, thermal rotating shallow water equations

17.

Local Characteristic Decomposition Based Central-Upwind Scheme

Number of pages: 25 Posted: 27 Jun 2022
affiliation not provided to SSRN, Southern University of Science and Technology, RWTH Aachen University, Southern University of Science and Technology and Johannes Gutenberg University Mainz
Downloads 23 (1,411,822)
Citation 3

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local characteristic decomposition, central-upwind schemes, hyperbolic systems of conservative laws, Euler equations of gas dynamics

18.

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

Number of pages: 22 Posted: 24 Jun 2025
Shenzhen MSU-BIT University, University of Stuttgart, Ghent University, Southern University of Science and Technology and Southern University of Science and Technology
Downloads 12 (1,526,714)

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Shallow water linearized moment equations, well-balanced schemes, flux globalization, path-conservative central-upwind schemes, nonconservative terms

19.

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

Number of pages: 23 Posted: 10 Feb 2026
RWTH Aachen University, Southern University of Science and Technology, Johannes Gutenberg University Mainz and affiliation not provided to SSRN
Downloads 9 (1,548,648)

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Ideal magnetohydrodynamics, divergence-free constraints, local characteristic decomposition, path-conservative central-upwind scheme

20.

A New Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Compressible Euler Equations

Number of pages: 31 Posted: 28 Apr 2026
Alina Chertock, Smadar Karni, Alexander Kurganov and Lorenzo Micalizzi
North Carolina State University, University of Michigan, Southern University of Science and Technology and North Carolina State University
Downloads 5 (1,571,455)

Abstract:

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compressible Euler equations, low Mach number, asymptotic preserving (AP) schemes, hyperbolic splitting, semi-implicit methods, deferred correction