A. Kurganov

发表

New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations

E. Tadmor, A. Kurganov, 2000 .

Stiff systems of hyperbolic conservation laws: convergence and error estimates

E. Tadmor, A. Kurganov, 1997 .

Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs

M. Herty, A. Kurganov, D. Kurochkin, 2015 .

Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

Steve Bryson, Alexander Kurganov, Yekaterina Epshteyn, 2011 .

A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids

Alexander Kurganov, Abdolmajid Mohammadian, Ousmane Seidou, 2016 .

A SECOND-ORDER WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME FOR THE SAINT-VENANT SYSTEM ∗

G. Petrova, A. Kurganov, 2007 .

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

G. Russo, A. Chertock, A. Kurganov, 2018 .

PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS

A. Chertock, A. Kurganov, I. Timofeyev, 2012, 1209.5947.

On the Reduction of Numerical Dissipation in Central-Upwind Schemes

A. Kurganov, Chi-Tien Lin, 2006 .

Breakdown in Burgers-type equations with saturating dissipation fluxes

J. Goodman, P. Rosenau, A. Kurganov, 1999 .

Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers

Eitan Tadmor, Alexander Kurganov, E. Tadmor, 2002 .

Monotonization of a Family of Implicit Schemes for the Burgers Equation

A. Kurganov, P. Vabishchevich, 2020 .

Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach

Alexander Lorz, Alexander Kurganov, Alina Chertock, 2012, Journal of Fluid Mechanics.

Central Schemes: A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs

Alexander Kurganov, A. Kurganov, 2016 .

Pressure‐based adaption indicator for compressible euler equations

A. Kurganov, J. Dewar, M. Leopold, 2015 .

CENTRAL-UPWIND SCHEMES FOR THE SAINT-VENANT SYSTEM

Doron Levy, Alexander Kurganov, D. Levy, 2002 .

CENTRAL SCHEMES AND CONTACT DISCONTINUITIES

Alexander Kurganov, Guergana Petrova, G. Petrova, 2000 .

New High-Resolution Semi-discrete Central Schemes for Hamilton—Jacobi Equations

Eitan Tadmor, Alexander Kurganov, E. Tadmor, 2000 .

A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations

Doron Levy, Alexander Kurganov, D. Levy, 2000, math/0002133.

Eitan Tadmor-50

G. Petrova, A. Kurganov, B. Popov, 2004 .

Particle methods for PDEs arising in financial modeling

A. Kurganov, A. Medovikov, Shumo Cui, 2015 .

CENTRAL-UPWIND SCHEME FOR A NON-HYDROSTATIC SAINT-VENANT SYSTEM

A. Chertock, A. Kurganov, Jun Yan, 2013 .

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

A. Chertock, A. Kurganov, Alina Chertock, 2019, Active Particles, Volume 2.

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

A. Chertock, A. Kurganov, Tong Wu, 2020 .

Moist-convective thermal rotating shallow water model

A. Kurganov, Yongle Liu, V. Zeitlin, 2020 .

Compressed Semi-Discrete Central-Upwind Schemes for Hamilton-Jacobi Equations

S. Bryson, G. Petrova, D. Levy, 2003 .

On spectral accuracy of quadrature formulae based on piecewise polynomial interpolation

A. Kurganov, S. Tsynkov, 2007 .

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

A. Chertock, A. Kurganov, M. Lukácová-Medvidová, 2022, ArXiv.

Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

A. Chertock, A. Kurganov, M. Díaz, 2014 .

Adaptive Semi-Discrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

G. Petrova, A. Kurganov, B. Popov, 2006 .

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

A. Kurganov, Yongle Liu, V. Zeitlin, 2021, Physics of Fluids.

An Accurate Deterministic Projection Method for Hyperboles Systems with Stiff Source Term

A. Kurganov, 2003 .

Formation of discontinuities in flux-saturated degenerate parabolic equations

A. Chertock, P. Rosenau, A. Kurganov, 2003 .

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

A. Kurganov, Yongle Liu, Mária Lukáčová-Medviďová, 2022, SIAM J. Sci. Comput..

Moving-Water Equilibria Preserving HLL-Type Scheme 3 2 HLL-Type Approximate Riemann Problem Solver

A. Kurganov, C. Klingenberg, Markus Zenk, 2019 .

Local Characteristic Decomposition Based Central-Upwind Scheme

M. Herty, A. Chertock, A. Kurganov, 2022, SSRN Electronic Journal.

A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations

A. Kurganov, S. Noelle, Guoxian Chen, 2013, J. Sci. Comput..

A well-balanced reconstruction for wetting/drying fronts

A. Kurganov, S. Noelle, Guoxian Chen, 2014, 1412.3580.

Local Characteristic Decomposition Based Central-Upwind Scheme

M. Herty, A. Chertock, A. Kurganov, 2022, J. Comput. Phys..

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

A. Kurganov, Shaoshuai Chu, Mingye Na, 2022, J. Comput. Phys..

Breakdown in Burgers-type equations with saturating dissipation fluxes

J. Goodman, P. Rosenau, A. Kurganov, 1999 .

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

A. Chertock, A. Kurganov, Shaoshuai Chu, 2022, East Asian Journal on Applied Mathematics.

Fifth-Order A-WENO Finite-Diﬀerence Schemes Based on the Central-Upwind Rankine-Hugoniot Fluxes

A. Kurganov, W. Don, Yongle Liu, 2021 .

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

A. Chertock, A. Kurganov, Kailiang Wu, 2022, SIAM Journal on Scientific Computing.

Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients

A. Chertock, A. Kurganov, Yu Liu, 2013, Numerische Mathematik.

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

A. Chertock, A. Kurganov, Y. Epshteyn, 2017, Advances in Computational Mathematics.

A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations

A. Kurganov, S. Noelle, Guoxian Chen, 2013, Journal of Scientific Computing.

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

Xin Liu, Alexander Kurganov, Alina Chertock, 2019, J. Comput. Phys..

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

A. Kurganov, Yongle Liu, V. Zeitlin, 2020, Geophysical & Astrophysical Fluid Dynamics.

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

Mária Lukácová-Medvid'ová, Alexander Kurganov, Alina Chertock, 2018, Numerische Mathematik.

An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions

Alexander Kurganov, Alina Chertock, A. Chertock, 2019, Kinetic & Related Models.

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

Alexander Kurganov, Alina Chertock, Yekaterina Epshteyn, 2018, Adv. Comput. Math..

Numerical study of two-species chemotaxis models

Alexander Kurganov, Maria Lukacova-Medvidova, A. Kurganov, 2013 .

ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX

Alexander Kurganov, Alina Chertock, A. Chertock, 2012 .

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

Alexander Kurganov, Alina Chertock, A. Chertock, 2008, Numerische Mathematik.

New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model

Alexander Kurganov, Yekaterina Epshteyn, A. Kurganov, 2008, SIAM J. Numer. Anal..

New adaptive artificial viscosity method for hyperbolic systems of conservation laws

Yu Liu, Alexander Kurganov, A. Kurganov, 2012, J. Comput. Phys..

Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations

Alexander Kurganov, Guergana Petrova, Sebastian Noelle, 2001, SIAM J. Sci. Comput..

Numerical dissipation switch for two-dimensional central-upwind schemes

Vladimir Zeitlin, Alexander Kurganov, Yongle Liu, 2021, ESAIM: Mathematical Modelling and Numerical Analysis.

Path-conservative central-upwind schemes for nonconservative hyperbolic systems

Alexander Kurganov, Manuel Jesús Castro Díaz, A. Kurganov, 2019, ESAIM: Mathematical Modelling and Numerical Analysis.

Finite-volume schemes for shallow-water equations

Alexander Kurganov, A. Kurganov, 2018, Acta Numerica.

Hybrid Finite-Volume-Particle Method for Dusty Gas Flows

Alexander Kurganov, Alina Chertock, Shumo Cui, 2017 .

An Eulerian–Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs

M. Herty, A. Chertock, A. Kurganov, 2014, Comput. Optim. Appl..

Central-Upwind Schemes for Two-Layer Shallow Water Equations

Alexander Kurganov, Guergana Petrova, G. Petrova, 2009, SIAM J. Sci. Comput..

Quasi-Lagrangian Acceleration of Eulerian Methods

A. Kurganov, I. Kliakhandler, 2009 .

Semi-discrete central-upwind schemes with reduced dissipation for Hamilton–Jacobi equations

Steve Bryson, Doron Levy, Alexander Kurganov, 2005 .

Compressible two-phase flows by central and upwind schemes

Alexander Kurganov, Smadar Karni, Guergana Petrova, 2004 .

On a practical implementation of particle methods

Alexander Kurganov, Alina Chertock, A. Chertock, 2006 .

Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed

Alexander Kurganov, Xin Liu, Abdolmajid Mohammadian, 2015, J. Comput. Phys..

Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System

Yingjie Liu, Alexander Kurganov, Suo Yang, 2014, J. Sci. Comput..

A Well-Balanced Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations

A. Kurganov, Yongle Liu, V. Zeitlin, 2019, J. Comput. Phys..

Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations

A. Kurganov, Yongle Liu, V. Zeitlin, 2022, J. Comput. Phys..

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

Michael Herty, Tong Wu, Alexander Kurganov, 2019, J. Sci. Comput..

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

Eitan Tadmor, Alexander Kurganov, Alina Chertock, 2017, J. Comput. Phys..

High-Rayleigh-number convection in a fluid-saturated porous layer

Lubomira A. Dontcheva, G. Petrova, A. Kurganov, 2004, Journal of Fluid Mechanics.

Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water

Alexander Kurganov, Alina Chertock, Guergana Petrova, 2006, J. Sci. Comput..

A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations

Doron Levy, Alexander Kurganov, D. Levy, 2000, SIAM J. Sci. Comput..

A Fast Explicit Operator Splitting Method for Passive Scalar Advection

Charles R. Doering, Alexander Kurganov, Alina Chertock, 2010, J. Sci. Comput..

Interface tracking method for compressible multifluids

Alexander Kurganov, Alina Chertock, Smadar Karni, 2008 .

A simple Eulerian finite-volume method for compressible fluids in domains with moving boundaries

Alexander Kurganov, Alina Chertock, A. Chertock, 2008 .

A New Sticky Particle Method for Pressureless Gas Dynamics

Alexander Kurganov, Alina Chertock, Yurii Rykov, 2007, SIAM J. Numer. Anal..

Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

Bojan Popov, Alexander Kurganov, Guergana Petrova, 2007, SIAM J. Sci. Comput..

Well-balanced central-upwind scheme for compressible two-phase flows

A. Kurganov, 2006 .

Adaptive Central-Upwind Schemes for Hamilton–Jacobi Equations with Nonconvex Hamiltonians

Alexander Kurganov, Guergana Petrova, G. Petrova, 2006, J. Sci. Comput..

On a hybrid finite-volume-particle method

Alexander Kurganov, Alina Chertock, A. Chertock, 2004 .

Computing MultivaluedSolutions of PressurelessGas Dynamics by Deterministic Particle Methods

Alexander Kurganov, Alina Chertock, A. Chertock, 2009 .

A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides

Alexander Kurganov, Guergana Petrova, G. Petrova, 2008 .

Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method

Alexander Kurganov, Alina Chertock, Eugene Kashdan, 2008 .

On Splitting-Based Numerical Methods for Convection-Diffusion Equations

Alexander Kurganov, Alina Chertock, A. Chertock, 2008 .

Adaptive Semi-Discrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

G. Petrova, A. Kurganov, B. Popov, 2006 .

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

Alexander Kurganov, Alina Chertock, Shaoshuai Chu, 2021, Journal of Scientific Computing.

Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux

Alexander Kurganov, N. K. Garg, Bao-Shan Wang, 2020, SIAM J. Sci. Comput..

Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws

Tong Wu, Alexander Kurganov, Martina Prugger, 2017, SIAM J. Sci. Comput..

Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics

Alexander Kurganov, Anthony Polizzi, A. Kurganov, 2009, Networks Heterog. Media.

Central‐upwind schemes on triangular grids for hyperbolic systems of conservation laws

Alexander Kurganov, Guergana Petrova, G. Petrova, 2005 .

A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems

Alexander Kurganov, Guergana Petrova, G. Petrova, 2001, Numerische Mathematik.

An operator splitting based stochastic Galerkin method for the one-dimensional compressible Euler equations with uncertainty

Alexander Kurganov, Alina Chertock, Shi Jin, 2015 .

A well-balanced operator splitting based stochastic Galerkin method for the one-dimensional Saint-Venant system with uncertainty

Alexander Kurganov, Alina Chertock, Shi Jin, 2015 .

Fast explicit operator splitting method for convection–diffusion equations

Alexander Kurganov, Alina Chertock, Guergana Petrova, 2009 .

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

Alexander Kurganov, Xin Liu, Alina Chertock, 2019, Journal of Scientific Computing.

Central-Upwind Scheme for Savage–Hutter Type Model of Submarine Landslides and Generated Tsunami Waves

Jason Miller, Alexander Kurganov, A. Kurganov, 2014, Comput. Methods Appl. Math..

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

A. Kurganov, W. Don, Yongle Liu, 2021, Communications on Applied Mathematics and Computation.

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

A. Chertock, M. Dudzinski, A. Kurganov, 2017, Numerische Mathematik.

Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients

Yu Liu, Alexander Kurganov, Alina Chertock, 2014, Numerische Mathematik.

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

Alexander Kurganov, N. K. Garg, Naveen Kumar Garg, 2021, J. Comput. Phys..

Three-Layer Approximation of Two-Layer Shallow Water Equations

Alexander Kurganov, Alina Chertock, Tong Wu, 2013 .

Well-Balanced Positivity Preserving Central-Upwind Scheme for the Shallow Water System with Friction Terms

Alexander Kurganov, Alina Chertock, Shumo Cui, 2013 .

WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME ON TRIANGULAR GRIDS FOR THE SAINT-VENANT SYSTEM

S. Bryson, G. Petrova, A. Kurganov, 2010 .

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

Xin Liu, Alexander Kurganov, Alina Chertock, 2021, Journal of Scientific Computing.

Central-upwind scheme for shallow water equations with discontinuous bottom topography

A. Chertock, A. Kurganov, Andrew Bernstein, 2016 .

Low-Dissipation Central-Upwind Schemes for Compressible Multifluids

A. Kurganov, Shaoshuai Chu, Ruixiao Xin, 2023, ArXiv.

New Adaptive Low-Dissipation Central-Upwind Schemes

A. Kurganov, Shaoshuai Chu, 2023, ArXiv.

Experimental Convergence Rate Study for Three Shock-Capturing Schemes and Development of Highly Accurate Combined Schemes

A. Kurganov, V. Ostapenko, Shaoshuai Chu, 2023, Numerical Methods for Partial Differential Equations.

Well-balanced numerical method for atmospheric flow equations with gravity

A. Chertock, A. Kurganov, Tong Wu, 2023, Appl. Math. Comput..

New Low-Dissipation Central-Upwind Schemes

A. Kurganov, Ruixiao Xin, 2023, Journal of Scientific Computing.

A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems

Alexander Kurganov, Smadar Karni, Guergana Petrova, 2002 .

Local error analysis for approximate solutions of hyperbolic conservation laws

Alexander Kurganov, Smadar Karni, A. Kurganov, 2005, Adv. Comput. Math..

A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels

A. Kurganov, Yiming Chen, Ming-Ye Na, 2023, ESAIM: Mathematical Modelling and Numerical Analysis.

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

A. Kurganov, Yongle Liu, Ruixiao Xin, 2022, J. Comput. Phys..

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

A. Kurganov, Yongle Liu, Yangyang Cao, 2022, Journal of Scientific Computing.

Effects of a Saturating Dissipation in Burgers-Type Equations

Alexander Kurganov, Philip Rosenau, P. Rosenau, 1997 .

On reaction processes with saturating diffusion

P. Rosenau, A. Kurganov, 2005 .

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

Mario Ricchiuto, Tong Wu, Alexander Kurganov, 2019, Comput. Math. Appl..

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

Alexander Kurganov, Tong Wu, Zhuolin Qu, 2020, Communications on Applied Mathematics and Computation.

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

Mohammad A. Ghazizadeh, A. Mohammadian, A. Kurganov, 2019, Computers & Fluids.

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

A. Chertock, A. Kurganov, M. Lukácová-Medvidová, 2022, J. Comput. Phys..

Stochastic Galerkin method for cloud simulation

P. Spichtinger, M. Lukáčová-Medvid’ová, A. Chertock, 2018, Mathematics of Climate and Weather Forecasting.

A Fast Explicit Operator Splitting Method for Modified Buckley–Leverett Equations

C. Kao, A. Kurganov, Zhuolin Qu, 2014, Journal of Scientific Computing.

A Fast Explicit Operator Splitting Method for Modified Buckley–Leverett Equations

Ying Wang, Alexander Kurganov, Chiu-Yen Kao, 2015, J. Sci. Comput..

Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers

E. Tadmor, A. Kurganov, 2002 .

Three-dimensional shallow water system: A relaxation approach

Alexander Kurganov, Xin Liu, Abdolmajid Mohammadian, 2017, J. Comput. Phys..

On degenerate saturated-diffusion equations with convection

A. Chertock, P. Rosenau, A. Kurganov, 2005 .

Conservative Locally Moving Mesh Method for Multifluid Flows

A. Kurganov, Alina Chertock, 2018 .