Alexander Kurganov

96 papers Journal 96

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	New Adaptive Numerical Methods Based on Dual Formulation of Hyperbolic Conservation Laws. CoRR Alina Chertock, Qingcheng Fu, Alexander Kurganov, Lorenzo Micalizzi
2026	J	`jnl`	Numerical Study of Dissipative Weak Solutions for the Euler Equations of Gas Dynamics. CoRR Shaoshuai Chu, Michael Herty, Alexander Kurganov, Maria Lukacova-Medvidova, Changsheng Yu
2025	J	`jnl`	A Hybrid Finite-Difference-Particle Method for Chemotaxis Models. J. Sci. Comput. Alina Chertock, Shumo Cui, Alexander Kurganov, Chenxi Wang
2025	J	`jnl`	A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics. CoRR Shaoshuai Chu, Alexander Kurganov, Maria Lukacova-Medvidova, Mingye Na
2025	J	`jnl`	A New Semi-Discrete Finite-Volume Active Flux Method for Hyperbolic Conservation Laws. CoRR Rémi Abgrall, Alina Chertock, Alexander Kurganov, Lorenzo Micalizzi
2025	J	`jnl`	Bound- and Positivity-Preserving Path-Conservative Central-Upwind AWENO Scheme for the Five-Equation Model of Compressible Two-Component Flows. J. Sci. Comput. Qingcheng Fu, Yaguang Gu, Alexander Kurganov, Bao-Shan Wang
2025	J	`jnl`	Central-Upwind Scheme for the Phase-Transition Traffic Flow Model. CoRR Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng
2025	J	`jnl`	Central-upwind scheme for the phase-transition traffic flow model. J. Comput. Phys. Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng
2025	J	`jnl`	Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations. CoRR Yangyang Cao, Qian Huang, Julian Koellermeier, Alexander Kurganov, Yongle Liu
2025	J	`jnl`	New Low-Dissipation Central-Upwind Schemes. Part II. J. Sci. Comput. Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
2025	J	`jnl`	New More Efficient A-WENO Schemes. CoRR Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
2025	J	`jnl`	New More Efficient A-WENO Schemes. J. Sci. Comput. Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
2025	J	`jnl`	New Smoothness Indicator Within an Active Flux Framework. CoRR Alina Chertock, Alexander Kurganov, Lorenzo Micalizzi
2025	J	`jnl`	Novel Adaptive Schemes for Hyperbolic Conservation Laws. CoRR Shaoshuai Chu, Pingyao Feng, Vadim A. Kolotilov, Alexander Kurganov, Vladimir V. Ostapenko
2025	J	`jnl`	Novel local characteristic decomposition based path-conservative central-upwind schemes. J. Comput. Phys. Shaoshuai Chu, Michael Herty, Alexander Kurganov
2025	J	`jnl`	Numerical Analysis of Stabilization for Random Hyperbolic Systems of Balance Laws. CoRR Shaoshuai Chu, Michael Herty, Alexander Kurganov
2025	J	`jnl`	Numerical Study of Random Kelvin-Helmholtz Instability. CoRR Alina Chertock, Michael Herty, Arsen S. Iskhakov, Anna Iskhakova, Alexander Kurganov, Mária Lukácová-Medvid'ová
2025	J	`jnl`	Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes. Comput. Math. Appl. Saeed Mohammadian, Zuduo Zheng, Shaoshuai Chu, Alexander Kurganov
2025	J	`jnl`	Positivity-preserving new low-dissipation central-upwind schemes for compressible Euler equations. J. Comput. Phys. Shumo Cui, Yaguang Gu, Alexander Kurganov, Kailiang Wu, Ruixiao Xin
2025	J	`jnl`	Uncertainty Quantification in Forward Problems: Balancing Accuracy and Robustness Using CWENO Interpolations. CoRR Alina Chertock, Arsen S. Iskhakov, Alexander Kurganov
2024	J	`jnl`	A Hybrid Finite-Difference-Particle Method for Chemotaxis Models. CoRR Alina Chertock, Shumo Cui, Alexander Kurganov, Chenxi Wang
2024	J	`jnl`	A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. SIAM J. Sci. Comput. Alina Chertock, Alexander Kurganov, Michael Redle, Kailiang Wu
2024	J	`jnl`	A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization. CoRR Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
2024	J	`jnl`	Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws. CoRR Shumo Cui, Alexander Kurganov, Kailiang Wu
2024	J	`jnl`	Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws. SIAM J. Sci. Comput. Shumo Cui, Alexander Kurganov, Kailiang Wu
2024	J	`jnl`	CWENO Interpolation for Non-Oscillatory Stochastic Collocation in Uncertainty Quantification Problems. CoRR Alina Chertock, Arsen S. Iskhakov, Anna Iskhakova, Alexander Kurganov
2024	J	`jnl`	Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations. J. Comput. Phys. Yangyang Cao, Alexander Kurganov, Yongle Liu, Vladimir Zeitlin
2024	J	`jnl`	Local Characteristic Decomposition of Equilibrium Variables for Hyperbolic Systems of Balance Laws. CoRR Shaoshuai Chu, Alexander Kurganov, Mingye Na, Ruixiao Xin
2024	J	`jnl`	Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD. J. Comput. Phys. Alina Chertock, Alexander Kurganov, Michael Redle, Vladimir Zeitlin
2024	J	`jnl`	Low-dissipation central-upwind schemes for compressible multifluids. J. Comput. Phys. Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
2024	J	`jnl`	New Low-Dissipation Central-Upwind Schemes. Part II. CoRR Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
2024	J	`jnl`	Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes. CoRR Shaoshuai Chu, Michael Herty, Alexander Kurganov
2024	J	`jnl`	On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws. CoRR Shaoshuai Chu, Igor Kliakhandler, Alexander Kurganov
2024	J	`jnl`	Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs. CoRR Alina Chertock, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov
2023	J	`jnl`	Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics. CoRR Alina Chertock, Alexander Kurganov, Michael Redle, Vladimir Zeitlin
2023	J	`jnl`	Experimental Convergence Rate Study for Three Shock-Capturing Schemes and Development of Highly Accurate Combined Schemes. CoRR Shaoshuai Chu, Olyana A. Kovyrkina, Alexander Kurganov, Vladimir V. Ostapenko
2023	J	`jnl`	Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy. J. Sci. Comput. Xi Chen, Alexander Kurganov, Yongle Liu
2023	J	`jnl`	Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations. J. Comput. Phys. Yangyang Cao, Alexander Kurganov, Yongle Liu, Vladimir Zeitlin
2023	J	`jnl`	Local characteristic decomposition based central-upwind scheme. J. Comput. Phys. Alina Chertock, Shaoshuai Chu, Michael Herty, Alexander Kurganov, Mária Lukácová-Medvid'ová
2023	J	`jnl`	Low-Dissipation Central-Upwind Schemes for Compressible Multifluids. CoRR Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
2023	J	`jnl`	New Adaptive Low-Dissipation Central-Upwind Schemes. CoRR Shaoshuai Chu, Alexander Kurganov
2023	J	`jnl`	New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties. CoRR Alina Chertock, Michael Herty, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov, Maria Lukacova-Medvidova
2023	J	`jnl`	New Low-Dissipation Central-Upwind Schemes. J. Sci. Comput. Alexander Kurganov, Ruixiao Xin
2023	J	`jnl`	Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model. J. Comput. Phys. Alina Chertock, Alexander Kurganov, Mária Lukácová-Medvid'ová, Peter Spichtinger, Bettina Wiebe
2023	J	`jnl`	Well-balanced numerical method for atmospheric flow equations with gravity. Appl. Math. Comput. Alina Chertock, Alexander Kurganov, Tong Wu, Jun Yan
2023	J	`jnl`	Well-balanced path-conservative central-upwind schemes based on flux globalization. J. Comput. Phys. Alexander Kurganov, Yongle Liu, Ruixiao Xin
2022	J	`jnl`	A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model. CoRR Chenxi Wang, Alina Chertock, Shumo Cui, Alexander Kurganov, Zhen Zhang
2022	J	`jnl`	A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. CoRR Alina Chertock, Alexander Kurganov, Michael Redle, Kailiang Wu
2022	J	`jnl`	A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography. SIAM J. Sci. Comput. Alexander Kurganov, Yongle Liu, Mária Lukácová-Medvidová
2022	J	`jnl`	Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator. CoRR Alina Chertock, Shaoshuai Chu, Alexander Kurganov
2022	J	`jnl`	Fifth-order A-WENO schemes based on the path-conservative central-upwind method. J. Comput. Phys. Shaoshuai Chu, Alexander Kurganov, Mingye Na
2022	J	`jnl`	Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models. J. Sci. Comput. Yangyang Cao, Alexander Kurganov, Yongle Liu, Ruixiao Xin
2022	J	`jnl`	Local Characteristic Decomposition Based Central-Upwind Scheme. CoRR Alina Chertock, Shaoshuai Chu, Michael Herty, Alexander Kurganov, Mária Lukácová-Medvid'ová
2022	J	`jnl`	Stochastic Galerkin method for cloud simulation. Part II: a fully random Navier-Stokes-cloud model. CoRR Alina Chertock, Alexander Kurganov, Mária Lukácová-Medvidová, Peter Spichtinger, Bettina Wiebe
2022	J	`jnl`	Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts. J. Sci. Comput. Alina Chertock, Alexander Kurganov, Xin Liu, Yongle Liu, Tong Wu
2021	J	`jnl`	Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme. J. Sci. Comput. Alina Chertock, Shaoshuai Chu, Alexander Kurganov
2021	J	`jnl`	Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws. J. Comput. Phys. Naveen Kumar Garg, Alexander Kurganov, Yongle Liu
2020	J	`jnl`	A well-balanced central-upwind scheme for the thermal rotating shallow water equations. J. Comput. Phys. Alexander Kurganov, Yongle Liu, Vladimir Zeitlin
2020	J	`jnl`	Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux. SIAM J. Sci. Comput. Bao-Shan Wang, Wai Sun Don, Naveen Kumar Garg, Alexander Kurganov
2020	J	`jnl`	Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System. SIAM J. Sci. Comput. Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu, Hui Yu
2019	J	`jnl`	A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations. J. Sci. Comput. Yuanzhen Cheng, Alina Chertock, Michael Herty, Alexander Kurganov, Tong Wu
2019	J	`jnl`	A Well-Balanced Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations. CoRR Alexander Kurganov, Yongle Liu, Vladimir Zeitlin
2019	J	`jnl`	Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Comput. Math. Appl. Alina Chertock, Alexander Kurganov, Mario Ricchiuto, Tong Wu
2019	J	`jnl`	An adaptive well-balanced positivity preserving scheme on quadtree grids for shallow water equations. CoRR Mohammad A. Ghazizadeh, Abdolmajid Mohammadian, Alexander Kurganov
2019	J	`jnl`	An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. J. Comput. Phys. Xin Liu, Alina Chertock, Alexander Kurganov
2019	J	`jnl`	One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems. J. Sci. Comput. Xin Liu, Alina Chertock, Alexander Kurganov, Karlan Wolfkill
2018	J	`jnl`	Finite-volume schemes for shallow-water equations. Acta Numer. Alexander Kurganov
2018	J	`jnl`	High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Adv. Comput. Math. Alina Chertock, Yekaterina Epshteyn, Hengrui Hu, Alexander Kurganov
2018	J	`jnl`	Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. J. Comput. Phys. Xin Liu, Jason Albright, Yekaterina Epshteyn, Alexander Kurganov
2018	J	`jnl`	Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes. J. Comput. Phys. Alina Chertock, Shumo Cui, Alexander Kurganov, Seyma Nur Ozcan, Eitan Tadmor
2018	J	`jnl`	Well-balanced schemes for the shallow water equations with Coriolis forces. Numerische Mathematik Alina Chertock, Michael Dudzinski, Alexander Kurganov, Mária Lukácová-Medvid'ová
2017	J	`jnl`	Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws. SIAM J. Sci. Comput. Alexander Kurganov, Martina Prugger, Tong Wu
2017	J	`jnl`	Three-dimensional shallow water system: A relaxation approach. J. Comput. Phys. Xin Liu, Abdolmajid Mohammadian, Julio Angel Infante Sedano, Alexander Kurganov
2015	J	`jnl`	A Fast Explicit Operator Splitting Method for Modified Buckley-Leverett Equations. J. Sci. Comput. Chiu-Yen Kao, Alexander Kurganov, Zhuolin Qu, Ying Wang
2015	J	`jnl`	Fast and stable explicit operator splitting methods for phase-field models. J. Comput. Phys. Yuanzhen Cheng, Alexander Kurganov, Zhuolin Qu, Tao Tang
2015	J	`jnl`	Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term. SIAM J. Numer. Anal. Alina Chertock, Shumo Cui, Alexander Kurganov, Tong Wu
2015	J	`jnl`	Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System. J. Sci. Comput. Suo Yang, Alexander Kurganov, Yingjie Liu
2015	J	`jnl`	Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. J. Comput. Phys. Xin Liu, Abdolmajid Mohammadian, Alexander Kurganov, Julio Angel Infante Sedano
2014	J	`jnl`	An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Comput. Optim. Appl. Alina Chertock, Michael Herty, Alexander Kurganov
2014	J	`jnl`	Central-Upwind Scheme for Savage-Hutter Type Model of Submarine Landslides and Generated Tsunami Waves. Comput. Methods Appl. Math. Alexander Kurganov, Jason Miller
2014	J	`jnl`	Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Numerische Mathematik Alina Chertock, Alexander Kurganov, Yu Liu
2013	J	`jnl`	A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations. J. Sci. Comput. Andreas Bollermann, Guoxian Chen, Alexander Kurganov, Sebastian Noelle
2012	J	`jnl`	New adaptive artificial viscosity method for hyperbolic systems of conservation laws. J. Comput. Phys. Alexander Kurganov, Yu Liu
2010	J	`jnl`	A Fast Explicit Operator Splitting Method for Passive Scalar Advection. J. Sci. Comput. Alina Chertock, Charles R. Doering, Eugene Kashdan, Alexander Kurganov
2009	J	`jnl`	Central-Upwind Schemes for Two-Layer Shallow Water Equations. SIAM J. Sci. Comput. Alexander Kurganov, Guergana Petrova
2009	J	`jnl`	Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Networks Heterog. Media Alexander Kurganov, Anthony Polizzi
2008	J	`jnl`	A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Numerische Mathematik Alina Chertock, Alexander Kurganov
2008	J	`jnl`	New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model. SIAM J. Numer. Anal. Yekaterina Epshteyn, Alexander Kurganov
2007	J	`jnl`	A New Sticky Particle Method for Pressureless Gas Dynamics. SIAM J. Numer. Anal. Alina Chertock, Alexander Kurganov, Yurii Rykov
2007	J	`jnl`	Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws. SIAM J. Sci. Comput. Alexander Kurganov, Guergana Petrova, Bojan Popov
2006	J	`jnl`	Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians. J. Sci. Comput. Alexander Kurganov, Guergana Petrova
2006	J	`jnl`	Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. J. Sci. Comput. Alina Chertock, Alexander Kurganov, Guergana Petrova
2005	J	`jnl`	Local error analysis for approximate solutions of hyperbolic conservation laws. Adv. Comput. Math. Smadar Karni, Alexander Kurganov
2001	J	`jnl`	A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Numerische Mathematik Alexander Kurganov, Guergana Petrova
2001	J	`jnl`	Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations. SIAM J. Sci. Comput. Alexander Kurganov, Sebastian Noelle, Guergana Petrova
2000	J	`jnl`	A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations. SIAM J. Sci. Comput. Alexander Kurganov, Doron Levy