Alexander Kurganov

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All published works

Action	Title	Year	Authors
+ PDF Chat	A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization	2024	Shaoshuai Chu Alexander Kurganov Ruixiao Xin
+ PDF Chat	Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes	2024	Shaoshuai Chu Michaël Herty Alexander Kurganov
+	New Adaptive Low-Dissipation Central-Upwind Schemes	2024	Shaoshuai Chu Alexander Kurganov Igor Men’shov
+ PDF Chat	Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws	2024	Shumo Cui Alexander Kurganov Kailiang Wu
+ PDF Chat	Low-Dissipation Central-Upwind Schemes for Compressible Multifluids	2024	Shaoshuai Chu Alexander Kurganov Ruixiao Xin
+ PDF Chat	A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics	2024	Alina Chertock Alexander Kurganov Michael Redle Kailiang Wu
+ PDF Chat	New Low-Dissipation Central-Upwind Schemes. Part II	2024	Shaoshuai Chu Alexander Kurganov Ruixiao Xin
+ PDF Chat	Birth, interactions, and evolution over topography of solitons in Serre-Green-Naghdi model	2024	Qingcheng Fu Alexander Kurganov Mingye Na Vladimir Zeitlin
+ PDF Chat	On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws	2024	Shaoshuai Chu Igor Kliakhandler Alexander Kurganov
+ PDF Chat	Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes	2024	Shaoshuai Chu Michaël Herty Alexander Kurganov
+ PDF Chat	A Hybrid Finite-Difference-Particle Method for Chemotaxis Models	2024	Alina Chertock Shumo Cui Alexander Kurganov Chenxi Wang
+ PDF Chat	Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes	2024	Shaoshuai Chu Michaël Herty Alexander Kurganov
+	A Fifth-Order A-WENO Scheme Based on the Low-Dissipation Central-Upwind Fluxes	2024	Shaoshuai Chu Alexander Kurganov Ruixiao Xin
+ PDF Chat	On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws	2024	Shaoshuai Chu Igor Kliakhandler Alexander Kurganov
+	Positivity-Preserving New Low-Dissipation Central-Upwind Schemes for Compressible Euler Equations	2024	Shumo Cui Yaguang Gu Alexander Kurganov Kailiang Wu Ruixiao Xin
+	Flux Globalization Based Well-Balanced Central-Upwind Schemes for the Euler Equations with Gravitation	2024	Alexander Kurganov Mingye Na
+	New Low-Dissipation Central-Upwind Schemes	2023	Alexander Kurganov Ruixiao Xin
+ PDF Chat	Experimental convergence rate study for three shock‐capturing schemes and development of highly accurate combined schemes	2023	Shaoshuai Chu О. А. Ковыркина Alexander Kurganov В. В. Остапенко
+ PDF Chat	Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy	2023	Xi Chen Alexander Kurganov Yongle Liu
+	Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model	2023	Alina Chertock Alexander Kurganov Mária Lukáčová-Medviďová Peter Spichtinger B. Wiebe
+ PDF Chat	A diffuse-domain-based numerical method for a chemotaxis-fluid model	2023	Chenxi Wang Alina Chertock Shumo Cui Alexander Kurganov Zhen Zhang
+	New More Efficient A-Weno Schemes	2023	Shaoshuai Chu Alexander Kurganov Ruixiao Xin
+	New Adaptive Low-Dissipation Central-Upwind Schemes	2023	Shaoshuai Chu Alexander Kurganov
+	Low-Dissipation Central-Upwind Schemes for Compressible Multifluids	2023	Shaoshuai Chu Alexander Kurganov Ruixiao Xin
+ PDF Chat	Low-Dissipation Central-Upwind Schemes for Compressible Multifluids	2023	Shaoshuai Chu Alexander Kurganov Ruixiao Xin
+	Local Characteristic Decomposition Based Central-Upwind Scheme for Compressible Multifluids	2023	Shaoshuai Chu Alexander Kurganov
+	Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for Two-Dimensional Two-Layer Thermal Rotating Shallow Water Equations	2023	Yangyang Cao Alexander Kurganov Yongle Liu Vladimir Zeitlin
+	New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties	2023	Alina Chertock Michaël Herty Arsen S. Iskhakov Safa Janajra Alexander Kurganov Mária Lukáčová-Medviďová
+	Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models	2022	Shaoshuai Chu Alexander Kurganov
+	Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations	2022	Yangyang Cao Alexander Kurganov Yongle Liu Vladimir Zeitlin
+	Well-balanced path-conservative central-upwind schemes based on flux globalization	2022	Alexander Kurganov Yongle Liu Ruixiao Xin
+ PDF Chat	Local characteristic decomposition based central-upwind scheme	2022	Alina Chertock Shaoshuai Chu Michaël Herty Alexander Kurganov Maria Lukáčová-Medviďová
+	Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models	2022	Yangyang Cao Alexander Kurganov Yongle Liu Ruixiao Xin
+	Well-Balanced Path-Conservative Central-Upwind Schemes Based on Flux Globalization	2022	Alexander Kurganov Yongle Liu Ruixiao Xin
+ PDF Chat	Local Characteristic Decomposition Based Central-Upwind Scheme	2022	Alina Chertock Shaoshuai Chu Michaël Herty Alexander Kurganov Maria Lukáčová-Medviďová
+	Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts	2021	Alina Chertock Alexander Kurganov Xin Liu Yongle Liu Tong Wu
+	Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes	2021	Baoshan Wang Wai Sun Don Alexander Kurganov Yongle Liu
+	Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme	2021	Alina Chertock Shaoshuai Chu Alexander Kurganov
+ PDF Chat	Numerical dissipation switch for two-dimensional central-upwind schemes	2021	Alexander Kurganov Yongle Liu Vladimir Zeitlin
+	Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws	2021	Naveen Kumar Garg Alexander Kurganov Yongle Liu
+	Monotonization of a Family of Implicit Schemes for the Burgers Equation	2020	Alexander Kurganov Petr N. Vabishchevich
+	Adaptive Moving Mesh Central-Upwind Schemes for Hyperbolic System of PDEs: Applications to Compressible Euler Equations and Granular Hydrodynamics	2020	Alexander Kurganov Zhuolin Qu Olga Rozanova Tong Wu
+ PDF Chat	An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations	2020	Mohammad A. Ghazizadeh Abdolmajid Mohammadian Alexander Kurganov
+ PDF Chat	A well-balanced central-upwind scheme for the thermal rotating shallow water equations	2020	Alexander Kurganov Yongle Liu Vladimir Zeitlin
+	Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux	2020	Baoshan Wang Wai Sun Don Naveen Kumar Garg Alexander Kurganov
+	An adaptive well-balanced positivity preserving scheme on quadtree grids for shallow water equations.	2019	Mohammad A. Ghazizadeh Abdolmajid Mohammadian Alexander Kurganov
+	An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations	2019	Mohammad A. Ghazizadeh Abdolmajid Mohammadian Alexander Kurganov
+ PDF Chat	Stochastic Galerkin method for cloud simulation	2019	Alina Chertock Alexander Kurganov Mária Lukáčová-Medviďová Peter Spichtinger B. Wiebe
+	Path-conservative central-upwind schemes for nonconservative hyperbolic systems	2019	Manuel J. Castro Alexander Kurganov T. Morales de Luna
+	Adaptive moving mesh upwind scheme for the two-species chemotaxis model	2019	Alina Chertock Alexander Kurganov Mario Ricchiuto Tong Wu
+	High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models	2019	Alina Chertock Alexander Kurganov
+	Stochastic Galerkin method for cloud simulation	2018	Alina Chertock Alexander Kurganov Mária Lukáčová-Medviďová Peter Spichtinger B. Wiebe
+ PDF Chat	An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions	2018	Alina Chertock Alexander Kurganov Mária Lukáčová-Medvi rmcheckd ová Şeyma Nur Özcan
+ PDF Chat	Finite-volume schemes for shallow-water equations	2018	Alexander Kurganov
+ PDF Chat	Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes	2018	Alina Chertock Shumo Cui Alexander Kurganov Şeyma Nur Özcan Eitan Tadmor
+	On Convergence of Numerical Methods for Optimization Problems Governed by Scalar Hyperbolic Conservation Laws	2018	Michaël Herty Alexander Kurganov Dmitry V. Kurochkin
+ PDF Chat	A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries	2018	Alina Chertock Armando Coco Alexander Kurganov Giovanni Russo
+ PDF Chat	Hybrid Finite-Volume-Particle Method for Dusty Gas Flows	2017	Alina Chertock Shumo Cui Alexander Kurganov
+	High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems	2017	Alina Chertock Yekaterina Epshteyn Hengrui Hu Alexander Kurganov
+	Central Schemes	2016	Alexander Kurganov
+	Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms	2015	Alina Chertock Shumo Cui Alexander Kurganov Tong Wu
+	Pressure‐based adaption indicator for compressible euler equations	2015	Jeremy Dewar Alexander Kurganov Maren Leopold
+	Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term	2015	Alina Chertock Shumo Cui Alexander Kurganov Tong Wu
+	A Fast Explicit Operator Splitting Method for Modified Buckley–Leverett Equations	2014	Chiu‐Yen Kao Alexander Kurganov Zhuolin Qu Ying Wang
+ PDF Chat	Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System	2014	Suo Yang Alexander Kurganov Yingjie Liu
+ PDF Chat	Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs	2014	Michaël Herty Alexander Kurganov Dmitry V. Kurochkin
+	Particle methods for PDEs arising in financial modeling	2014	Shumo Cui Alexander Kurganov Alexei A. Medovikov
+	An Eulerian–Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs	2014	Alina Chertock Michaël Herty Alexander Kurganov
+	Central-Upwind Scheme for Savage–Hutter Type Model of Submarine Landslides and Generated Tsunami Waves	2014	Alexander Kurganov Jason Miller
+	A well-balanced reconstruction for wetting/drying fronts	2014	Andreas Bollermann Guoxian Chen Alexander Kurganov Sebastian Noelle
+ PDF Chat	Numerical study of two-species chemotaxis models	2013	Alexander Kurganov Maria Lukáčová-Medviďová
+	THREE-LAYER APPROXIMATION OF TWO-LAYER SHALLOW WATER EQUATIONS	2013	Alina Chertock Alexander Kurganov Alexander Kurganov Zhuolin Qu Tong Wu
+	Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients	2013	Alina Chertock Alexander Kurganov Yu Liu
+ PDF Chat	PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS	2013	Alina Chertock Alexander Kurganov Anthony Polizzi Ilya Timofeyev
+	A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations	2013	Andreas Bollermann Guoxian Chen Alexander Kurganov Sebastian Noelle
+	Pedestrian Flow Models with Slowdown Interactions	2012	Alina Chertock Alexander Kurganov Anthony Polizzi Ilya Timofeyev
+	New adaptive artificial viscosity method for hyperbolic systems of conservation laws	2012	Alexander Kurganov Yu Liu
+	Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach	2012	Alina Chertock Klemens Fellner Alexander Kurganov Alexander Lorz Peter A. Markowich
+ PDF Chat	On a chemotaxis model with saturated chemotactic flux	2012	Alina Chertock Alexander Kurganov Xuefeng Wang Yaping Wu
+	A Fast Explicit Operator Splitting Method for Passive Scalar Advection	2010	Alina Chertock Charles R. Doering Eugene Kashdan Alexander Kurganov
+ PDF Chat	The Order of Accuracy of Quadrature Formulae for Periodic Functions	2009	Alexander Kurganov Jeffrey Rauch
+	Central-Upwind Schemes for Two-Layer Shallow Water Equations	2009	Alexander Kurganov Guergana Petrova
+	New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model	2008	Yekaterina Epshteyn Alexander Kurganov
+	A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models	2008	Alina Chertock Alexander Kurganov
+ PDF Chat	Interface tracking method for compressible multifluids	2008	Alina Chertock Smadar Karni Alexander Kurganov
+	Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method	2008	Alina Chertock Eugene Kashdan Alexander Kurganov
+ PDF Chat	A simple Eulerian finite-volume method for compressible fluids in domains with moving boundaries	2008	Alina Chertock Alexander Kurganov
+ PDF Chat	A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System	2007	Alexander Kurganov Guergana Petrova
+	Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws	2007	Alexander Kurganov Guergana Petrova Bojan Popov
+	On spectral accuracy of quadrature formulae based on piecewise polynomial interpolation	2007	Alexander Kurganov Semyon Victor Tsynkov
+	Fast explicit operator splitting method for convection–diffusion equations	2006	Alina Chertock Alexander Kurganov Guergana Petrova
+	Well-balanced central-upwind scheme for compressible two-phase flows	2006	Alexander Kurganov
+	On a practical implementation of particle methods	2006	Alina Chertock Alexander Kurganov
+	Adaptive Central-Upwind Schemes for Hamilton–Jacobi Equations with Nonconvex Hamiltonians	2006	Alexander Kurganov Guergana Petrova
+	On reaction processes with saturating diffusion	2005	Alexander Kurganov Philip Rosenau
+ PDF Chat	Central‐upwind schemes on triangular grids for hyperbolic systems of conservation laws	2004	Alexander Kurganov Guergana Petrova
+ PDF Chat	Compressible two-phase flows by central and upwind schemes	2004	Smadar Karni Eduard Kirr Alexander Kurganov Guergana Petrova
+	Formation of discontinuities in flux-saturated degenerate parabolic equations	2003	Alina Chertock Alexander Kurganov Philip Rosenau
+	Compressed Semi-Discrete Central-Upwind Schemes for Hamilton-Jacobi Equations	2003	Steve Bryson Alexander Kurganov Doron Levy Guergana Petrova
+ PDF Chat	Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers	2002	Alexander Kurganov Eitan Tadmor
+	Central-Upwind Schemes for the Saint-Venant System	2002	Alexander Kurganov Doron Levy
+	Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations	2001	Alexander Kurganov Sebastian Noelle Guergana Petrova
+ PDF Chat	Central schemes and contact discontinuities	2000	Alexander Kurganov Guergana Petrova
+	New High-Resolution Semi-discrete Central Schemes for Hamilton–Jacobi Equations	2000	Alexander Kurganov Eitan Tadmor
+	New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations	2000	Alexander Kurganov Eitan Tadmor
+ PDF Chat	A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations	2000	Alexander Kurganov Doron Levy
+	A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations	2000	Alexander Kurganov Doron Levy
+	Breakdown in Burgers-type equations with saturating dissipation fluxes	1999	Jonathan Goodman Alexander Kurganov Philip Rosenau
+	On Burgers-type equations with nonmonotonic dissipative fluxes	1998	Alexander Kurganov Doron Levy Philip Rosenau
+	On Burgers‐type equations with nonmonotonic dissipative fluxes	1998	Alexander Kurganov Doron Levy Philip Rosenau
+	Stiff Systems of Hyperbolic Conservation Laws: Convergence and Error Estimates	1997	Alexander Kurganov Eitan Tadmor
+	Effects of a saturating dissipation in Burgers-type equations	1997	Alexander Kurganov Philip Rosenau

Common Coauthors

Coauthor	Papers Together
Alina Chertock	35
Shaoshuai Chu	20
Ruixiao Xin	12
Michaël Herty	9
Shumo Cui	9
Yongle Liu	8
Mária Lukáčová-Medviďová	7
Doron Levy	6
Philip Rosenau	6
Tong Wu	6
Eitan Tadmor	5
Guergana Petrova	5
Guergana Petrova	5
Vladimir Zeitlin	5
B. Wiebe	3
Kailiang Wu	3
Zhuolin Qu	3
Yongle Liu	3
Mohammad A. Ghazizadeh	3
Yangyang Cao	3
Abdolmajid Mohammadian	3
Sebastian Noelle	3
Peter Spichtinger	3
Yekaterina Epshteyn	2
Dmitry V. Kurochkin	2
Wai Sun Don	2
Eugene Kashdan	2
Igor Kliakhandler	2
Andreas Bollermann	2
Smadar Karni	2
Ilya Timofeyev	2
Anthony Polizzi	2
Mingye Na	2
Naveen Kumar Garg	2
Guoxian Chen	2
Şeyma Nur Özcan	2
Hengrui Hu	1
Xi Chen	1
Jonathan Goodman	1
Peter A. Markowich	1
Petr N. Vabishchevich	1
Eduard Kirr	1
Baoshan Wang	1
Semyon Victor Tsynkov	1
Yaping Wu	1
Bojan Popov	1
Jeffrey Rauch	1
Maren Leopold	1
Manuel J. Castro	1
Yaguang Gu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Non-oscillatory central differencing for hyperbolic conservation laws	1990	Haim Nessyahu Eitan Tadmor	70
+	Strong Stability-Preserving High-Order Time Discretization Methods	2001	Sigal Gottlieb Chi‐Wang Shu Eitan Tadmor	69
+	Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations	2001	Alexander Kurganov Sebastian Noelle Guergana Petrova	63
+	High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws	1984	P. K. Sweby	55
+	New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations	2000	Alexander Kurganov Eitan Tadmor	48
+	Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations	2011	Sigal Gottlieb David I. Ketcheson Chi‐Wang Shu	43
+	Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method	1979	Bram van Leer	42
+ PDF Chat	Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers	2002	Alexander Kurganov Eitan Tadmor	28
+ PDF Chat	A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System	2007	Alexander Kurganov Guergana Petrova	28
+	Central-Upwind Schemes for the Saint-Venant System	2002	Alexander Kurganov Doron Levy	21
+ PDF Chat	Efficient implementation of essentially non-oscillatory shock-capturing schemes	1988	Chi‐Wang Shu Stanley Osher	19
+	Numerical schemes for conservation laws	1997	Dietmar Kröner	18
+	Numerical Approximation of Hyperbolic Systems of Conservation Laws	1996	Edwige Godlewski Pierre-Arnaud Raviart	18
+	Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws	1998	Guang-Shan Jiang Eitan Tadmor	16
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher	16
+	Third order nonoscillatory central scheme for hyperbolic conservation laws	1998	Xudong Liu Eitan Tadmor	15
+	A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows	2004	Emmanuel Audusse François Bouchut Marie-Odile Bristeau Rupert Klein Benoı̂t Perthame	15
+ PDF Chat	Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds	2011	Andreas Bollermann Sebastian Noelle Mária Lukáčová-Medviďová	15
+ PDF Chat	Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes	2018	Alina Chertock Shumo Cui Alexander Kurganov Şeyma Nur Özcan Eitan Tadmor	14
+	Uniformly high order accurate essentially non-oscillatory schemes, III	1987	Ami Harten Björn Engquist Stanley Osher Sukumar Chakravarthy	13
+	Weak solutions of nonlinear hyperbolic equations and their numerical computation	1954	Peter D. Lax	13
+	Path-conservative central-upwind schemes for nonconservative hyperbolic systems	2019	Manuel J. Castro Alexander Kurganov T. Morales de Luna	13
+ PDF Chat	Compact Central WENO Schemes for Multidimensional Conservation Laws	2000	Doron Levy Gabriella Puppo Giovanni Russo	12
+ PDF Chat	Classification of the Riemann Problem for Two-Dimensional Gas Dynamics	1993	Carsten Werner Schulz-Rinne	11
+	Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics	1993	Carsten Werner Schulz-Rinne James P. Collins Harland M. Glaz	11
+	A Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Conservation Laws on Unstructured Grids	1998	Paul Arminjon Marie‐Claude Viallon A. Madrane	11
+	High-Order Central Schemes for Hyperbolic Systems of Conservation Laws	1999	Franca Bianco Gabriella Puppo Giovanni Russo	10
+ PDF Chat	Finite-volume schemes for shallow-water equations	2018	Alexander Kurganov	10
+	High order explicit methods for parabolic equations	1998	Alexei A. Medovikov	10
+	GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS	2004	Philippe G. LeFloch	10
+	Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations	1997	Uri M. Ascher Steven J. Ruuth Raymond J. Spiteri	9
+	On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws	1983	Amiram Harten Peter D. Lax Bram van Leer	9
+ PDF Chat	Resolution of high order WENO schemes for complicated flow structures	2003	Jing Shi Yong‐Tao Zhang Chi‐Wang Shu	9
+	The numerical simulation of two-dimensional fluid flow with strong shocks	1984	Paul R. Woodward Phillip Colella	9
+	New High-Resolution Semi-discrete Central Schemes for Hamilton–Jacobi Equations	2000	Alexander Kurganov Eitan Tadmor	9
+	An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws	2013	Yan Jiang Chi‐Wang Shu Mengping Zhang	9
+	A Characteristic-wise Alternative WENO-Z Finite Difference Scheme for Solving the Compressible Multicomponent Non-reactive Flows in the Overestimated Quasi-conservative Form	2020	Wai Sun Don Dongmei Li Zhen Gao Baoshan Wang	9
+	Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux	2020	Baoshan Wang Wai Sun Don Naveen Kumar Garg Alexander Kurganov	9
+	Model for chemotaxis	1971	Evelyn Fox Keller Lee A. Segel	8
+	Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms	2015	Alina Chertock Shumo Cui Alexander Kurganov Tong Wu	8
+ PDF Chat	A kinetic scheme for the Saint-Venant system¶with a source term	2001	Benoı̂t Perthame Chiara Simeoni	8
+	Central-Upwind Schemes for Two-Layer Shallow Water Equations	2009	Alexander Kurganov Guergana Petrova	8
+	Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients	2013	Alina Chertock Alexander Kurganov Yu Liu	8
+	A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws	2002	Doron Levy Gabriella Puppo Giovanni Russo	8
+ PDF Chat	Efficient Implementation of Weighted ENO Schemes	1996	Guang-Shan Jiang Chi‐Wang Shu	8
+	A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations	2013	Andreas Bollermann Guoxian Chen Alexander Kurganov Sebastian Noelle	8
+	Weighted Essentially Non-oscillatory Schemes	1994	Xudong Liu Stanley Osher Tony F. Chan	8
+	On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central WENO Schemes	2002	Jianxian Qiu Chi‐Wang Shu	8
+	Generalized Riemann Problems in Computational Fluid Dynamics	2003	Matania Ben–Artzi J. Falcovitz	8
+	Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I	1996	Xudong Liu Stanley Osher	8