A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations. - Alexander Kurganov; Doron Levy (SIAM J. Sci. Comput., 2000)

A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. - Alexander Kurganov; Guergana Petrova (Numerische Mathematik, 2001)

Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations. - Alexander Kurganov; Sebastian Noelle; Guergana Petrova (SIAM J. Sci. Comput., 2001)

Local error analysis for approximate solutions of hyperbolic conservation laws. - Smadar Karni; Alexander Kurganov (Adv. Comput. Math., 2005)

Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. - Alina Chertock; Alexander Kurganov; Guergana Petrova (J. Sci. Comput., 2006)

Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians. - Alexander Kurganov; Guergana Petrova (J. Sci. Comput., 2006)

A New Sticky Particle Method for Pressureless Gas Dynamics. - Alina Chertock; Alexander Kurganov; Yurii Rykov (SIAM J. Numer. Anal., 2007)

Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws. - Alexander Kurganov; Guergana Petrova; Bojan Popov (SIAM J. Sci. Comput., 2007)

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. - Alina Chertock; Alexander Kurganov (Numerische Mathematik, 2008)

New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model. - Yekaterina Epshteyn; Alexander Kurganov (SIAM J. Numer. Anal., 2008)

Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. - Alexander Kurganov; Anthony Polizzi (Networks Heterog. Media, 2009)

Central-Upwind Schemes for Two-Layer Shallow Water Equations. - Alexander Kurganov; Guergana Petrova (SIAM J. Sci. Comput., 2009)

A Fast Explicit Operator Splitting Method for Passive Scalar Advection. - Alina Chertock; Charles R. Doering; Eugene Kashdan; Alexander Kurganov (J. Sci. Comput., 2010)

New adaptive artificial viscosity method for hyperbolic systems of conservation laws. - Alexander Kurganov; Yu Liu 071 (J. Comput. Phys., 2012)

A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations. - Andreas Bollermann; Guoxian Chen; Alexander Kurganov; Sebastian Noelle (J. Sci. Comput., 2013)

Central-Upwind Scheme for Savage-Hutter Type Model of Submarine Landslides and Generated Tsunami Waves. - Alexander Kurganov; Jason Miller (Comput. Methods Appl. Math., 2014)

An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. - Alina Chertock; Michael Herty; Alexander Kurganov (Comput. Optim. Appl., 2014)

Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. - Alina Chertock; Alexander Kurganov; Yu Liu 071 (Numerische Mathematik, 2014)

Fast and stable explicit operator splitting methods for phase-field models. - Yuanzhen Cheng; Alexander Kurganov; Zhuolin Qu; Tao Tang 003 (J. Comput. Phys., 2015)

Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. - Xin Liu 029; Abdolmajid Mohammadian; Alexander Kurganov; Julio Angel Infante Sedano (J. Comput. Phys., 2015)

A Fast Explicit Operator Splitting Method for Modified Buckley-Leverett Equations. - Chiu-Yen Kao; Alexander Kurganov; Zhuolin Qu; Ying Wang (J. Sci. Comput., 2015)

Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System. - Suo Yang; Alexander Kurganov; Yingjie Liu (J. Sci. Comput., 2015)

Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term. - Alina Chertock; Shumo Cui; Alexander Kurganov; Tong Wu 005 (SIAM J. Numer. Anal., 2015)

Three-dimensional shallow water system: A relaxation approach. - Xin Liu 029; Abdolmajid Mohammadian; Julio Angel Infante Sedano; Alexander Kurganov (J. Comput. Phys., 2017)

Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws. - Alexander Kurganov; Martina Prugger; Tong Wu 005 (SIAM J. Sci. Comput., 2017)

Finite-volume schemes for shallow-water equations. - Alexander Kurganov (Acta Numer., 2018)

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. - Alina Chertock; Yekaterina Epshteyn; Hengrui Hu; Alexander Kurganov (Adv. Comput. Math., 2018)

Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes. - Alina Chertock; Shumo Cui; Alexander Kurganov; Seyma Nur Ozcan; Eitan Tadmor (J. Comput. Phys., 2018)

Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. - Xin Liu 029; Jason Albright; Yekaterina Epshteyn; Alexander Kurganov (J. Comput. Phys., 2018)

Well-balanced schemes for the shallow water equations with Coriolis forces. - Alina Chertock; Michael Dudzinski; Alexander Kurganov; Mária Lukácová-Medvid'ová (Numerische Mathematik, 2018)

Adaptive moving mesh upwind scheme for the two-species chemotaxis model. - Alina Chertock; Alexander Kurganov; Mario Ricchiuto; Tong Wu 005 (Comput. Math. Appl., 2019)

An adaptive well-balanced positivity preserving scheme on quadtree grids for shallow water equations. - Mohammad A. Ghazizadeh; Abdolmajid Mohammadian; Alexander Kurganov (CoRR, 2019)

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. - Xin Liu 029; Alina Chertock; Alexander Kurganov (J. Comput. Phys., 2019)

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations. - Yuanzhen Cheng; Alina Chertock; Michael Herty; Alexander Kurganov; Tong Wu 005 (J. Sci. Comput., 2019)

One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems. - Xin Liu 029; Alina Chertock; Alexander Kurganov; Karlan Wolfkill (J. Sci. Comput., 2019)

A well-balanced central-upwind scheme for the thermal rotating shallow water equations. - Alexander Kurganov; Yongle Liu; Vladimir Zeitlin (J. Comput. Phys., 2020)

Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System. - Xin Liu 029; Xi Chen; Shi Jin; Alexander Kurganov; Tong Wu 005; Hui Yu (SIAM J. Sci. Comput., 2020)

Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux. - Bao-Shan Wang; Wai Sun Don; Naveen Kumar Garg; Alexander Kurganov (SIAM J. Sci. Comput., 2020)

Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws. - Naveen Kumar Garg; Alexander Kurganov; Yongle Liu (J. Comput. Phys., 2021)

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme. - Alina Chertock; Shaoshuai Chu; Alexander Kurganov (J. Sci. Comput., 2021)

A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model. - Chenxi Wang; Alina Chertock; Shumo Cui; Alexander Kurganov; Zhen Zhang (CoRR, 2022)

Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator. - Alina Chertock; Shaoshuai Chu; Alexander Kurganov (CoRR, 2022)

Fifth-order A-WENO schemes based on the path-conservative central-upwind method. - Shaoshuai Chu; Alexander Kurganov; Mingye Na (J. Comput. Phys., 2022)

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models. - Yangyang Cao; Alexander Kurganov; Yongle Liu; Ruixiao Xin (J. Sci. Comput., 2022)

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts. - Alina Chertock; Alexander Kurganov; Xin Liu 029; Yongle Liu; Tong Wu 005 (J. Sci. Comput., 2022)

A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography. - Alexander Kurganov; Yongle Liu; Mária Lukácová-Medvidová (SIAM J. Sci. Comput., 2022)

Well-balanced numerical method for atmospheric flow equations with gravity. - Alina Chertock; Alexander Kurganov; Tong Wu 005; Jun Yan (Appl. Math. Comput., 2023)

Experimental Convergence Rate Study for Three Shock-Capturing Schemes and Development of Highly Accurate Combined Schemes. - Shaoshuai Chu; Olyana A. Kovyrkina; Alexander Kurganov; Vladimir V. Ostapenko (CoRR, 2023)

New Adaptive Low-Dissipation Central-Upwind Schemes. - Shaoshuai Chu; Alexander Kurganov (CoRR, 2023)

Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics. - Alina Chertock; Alexander Kurganov; Michael Redle; Vladimir Zeitlin (CoRR, 2023)

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties. - Alina Chertock; Michael Herty; Arsen S. Iskhakov; Safa Janajra; Alexander Kurganov; Maria Lukacova-Medvidova (CoRR, 2023)

Local characteristic decomposition based central-upwind scheme. - Alina Chertock; Shaoshuai Chu; Michael Herty; Alexander Kurganov; Mária Lukácová-Medvid'ová (J. Comput. Phys., 2023)

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 (J. Comput. Phys., 2023)

Well-balanced path-conservative central-upwind schemes based on flux globalization. - Alexander Kurganov; Yongle Liu; Ruixiao Xin (J. Comput. Phys., 2023)

Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model. - Alina Chertock; Alexander Kurganov; Mária Lukácová-Medvid'ová; Peter Spichtinger; Bettina Wiebe (J. Comput. Phys., 2023)

Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy. - Xi Chen; Alexander Kurganov; Yongle Liu (J. Sci. Comput., 2023)

New Low-Dissipation Central-Upwind Schemes. - Alexander Kurganov; Ruixiao Xin (J. Sci. Comput., 2023)

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs. - Alina Chertock; Arsen S. Iskhakov; Safa Janajra; Alexander Kurganov (CoRR, 2024)

On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws. - Shaoshuai Chu; Igor Kliakhandler; Alexander Kurganov (CoRR, 2024)

CWENO Interpolation for Non-Oscillatory Stochastic Collocation in Uncertainty Quantification Problems. - Alina Chertock; Arsen S. Iskhakov; Anna Iskhakova; Alexander Kurganov (CoRR, 2024)

Local Characteristic Decomposition of Equilibrium Variables for Hyperbolic Systems of Balance Laws. - Shaoshuai Chu; Alexander Kurganov; Mingye Na; Ruixiao Xin (CoRR, 2024)

A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization. - Shaoshuai Chu; Alexander Kurganov; Ruixiao Xin (CoRR, 2024)

Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations. - Yangyang Cao; Alexander Kurganov; Yongle Liu; Vladimir Zeitlin (J. Comput. Phys., 2024)

Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD. - Alina Chertock; Alexander Kurganov; Michael Redle; Vladimir Zeitlin (J. Comput. Phys., 2024)

Low-dissipation central-upwind schemes for compressible multifluids. - Shaoshuai Chu; Alexander Kurganov; Ruixiao Xin (J. Comput. Phys., 2024)

A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. - Alina Chertock; Alexander Kurganov; Michael Redle; Kailiang Wu (SIAM J. Sci. Comput., 2024)

Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws. - Shumo Cui; Alexander Kurganov; Kailiang Wu (SIAM J. Sci. Comput., 2024)

Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes. - Saeed Mohammadian; Zuduo Zheng; Shaoshuai Chu; Alexander Kurganov (Comput. Math. Appl., 2025)

Novel local characteristic decomposition based path-conservative central-upwind schemes. - Shaoshuai Chu; Michael Herty; Alexander Kurganov (J. Comput. Phys., 2025)

Central-upwind scheme for the phase-transition traffic flow model. - Shaoshuai Chu; Alexander Kurganov; Saeed Mohammadian; Zuduo Zheng (J. Comput. Phys., 2025)

Positivity-preserving new low-dissipation central-upwind schemes for compressible Euler equations. - Shumo Cui; Yaguang Gu; Alexander Kurganov; Kailiang Wu; Ruixiao Xin (J. Comput. Phys., 2025)

New Low-Dissipation Central-Upwind Schemes. Part II. - Shaoshuai Chu; Alexander Kurganov; Ruixiao Xin (J. Sci. Comput., 2025)

A New Semi-Discrete Finite-Volume Active Flux Method for Hyperbolic Conservation Laws. - Rémi Abgrall; Alina Chertock; Alexander Kurganov; Lorenzo Micalizzi (CoRR, 2025)

New Smoothness Indicator Within an Active Flux Framework. - Alina Chertock; Alexander Kurganov; Lorenzo Micalizzi (CoRR, 2025)

Numerical Analysis of Stabilization for Random Hyperbolic Systems of Balance Laws. - Shaoshuai Chu; Michael Herty; Alexander Kurganov (CoRR, 2025)

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 (CoRR, 2025)

A Hybrid Finite-Difference-Particle Method for Chemotaxis Models. - Alina Chertock; Shumo Cui; Alexander Kurganov; Chenxi Wang (J. Sci. Comput., 2025)

New More Efficient A-WENO Schemes. - Shaoshuai Chu; Alexander Kurganov; Ruixiao Xin (J. Sci. Comput., 2025)

Novel Adaptive Schemes for Hyperbolic Conservation Laws. - Shaoshuai Chu; Pingyao Feng; Vadim A. Kolotilov; Alexander Kurganov; Vladimir V. Ostapenko (CoRR, 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; Bao-Shan Wang (J. Sci. Comput., 2025)

Uncertainty Quantification in Forward Problems: Balancing Accuracy and Robustness Using CWENO Interpolations. - Alina Chertock; Arsen S. Iskhakov; Alexander Kurganov (CoRR, 2025)

Numerical Study of Random Kelvin-Helmholtz Instability. - Alina Chertock; Michael Herty; Arsen S. Iskhakov; Anna Iskhakova; Alexander Kurganov; Mária Lukácová-Medvid'ová (CoRR, 2025)