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Kurganov, Alexander

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Author ID: kurganov.alexander Recent zbMATH articles by "Kurganov, Alexander"
Published as: Kurganov, A.; Kurganov, Alexander
External Links: ORCID
Documents Indexed: 96 Publications since 1997
all top 5

Co-Authors

2 single-authored
38 Chertock, Alina E.
17 Petrova, Guergana
7 Wu, Tong
6 Liu, Xin
6 Rosenau, Philip S.
5 Cheng, Yuanzhen
5 Mohammadian, Abdolmajid M.
5 Tadmor, Eitan
4 Cui, Shumo
4 Epshteyn, Yekaterina
4 Herty, Michael Matthias
4 Karni, Smadar
4 Levy, Doron
3 Lukáčová-Medvid’ová, Mária
3 Qu, Zhuolin
2 Bryson, Steve
2 Castro-Díaz, Manuel Jesús
2 Doering, Charles R.
2 Infante Sedano, Julio Angel
2 Kashdan, Eugene
2 Kurochkin, Dmitry
2 Liu, Yongle
2 Liu, Yu
2 Miller, Jason
2 Noelle, Sebastian
2 Özcan, Şeyma Nur
2 Polizzi, Anthony
1 Albright, Jason
1 Beljadid, Abdelaziz
1 Bernstein, Andrew
1 Bollermann, Andreas
1 Chen, Guoxian
1 Chen, Xi
1 Chen, Yunlong
1 Constantin, Lucian A.
1 Dewar, Jeremy D.
1 Don, Wai Sun
1 Dontcheva, Lubomira A.
1 Dudzinski, Michael
1 Fellner, Klemens
1 Garg, Naveen Kumar
1 Ghazizadeh, Mohammad A.
1 Goodman, Jonathan B.
1 Hu, Hengrui
1 Jin, Shi
1 Johnston, Hans
1 Kao, Chiu-Yen
1 Kirr, Eduard
1 Kliakhandler, Igor L.
1 Klingenberg, Christian
1 Lei, Minlan
1 Leopold, Maren
1 Lin, Chitien
1 Liu, Yingjie
1 Liu, Yu
1 Lorz, Alexander
1 Markowich, Peter Alexander
1 Medovikov, Alexei A.
1 Morales de Luna, Tomás
1 Otero, Jesse
1 Popov, Boyan
1 Prugger, Martina
1 Ranch, Jeffrey
1 Ricchiuto, Mario
1 Rykov, Yurii G.
1 Seidou, Ousmane
1 Shirkhani, Hamidreza
1 Tang, Tao
1 Timofeyev, Ilya
1 Wang, Baoshan
1 Wang, Xuefeng
1 Wang, Ying
1 Wolfkill, Karlan
1 Worthing, Rodney A.
1 Wu, Yaping
1 Yan, Jun
1 Yang, Suo
1 Yu, Hui
1 Zeitlin, Vladimir
1 Zenk, Markus

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 1,761 times in 983 Documents Cited by Year
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
283
2000
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
153
2001
Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398
Kurganov, Alexander; Levy, Doron
103
2002
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
102
2002
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
82
2007
On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033
Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping
57
2012
A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077
Kurganov, Alexander; Levy, Doron
56
2000
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045
Chertock, Alina; Kurganov, Alexander
46
2008
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
45
2012
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356
Kurganov, Alexander; Petrova, Guergana; Popov, Bojan
45
2007
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
43
2007
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068
Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana
38
2011
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
36
2005
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090
Kurganov, Alexander; Petrova, Guergana
33
2001
New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010
Epshteyn, Yekaterina; Kurganov, Alexander
31
2009
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077
Kurganov, Alexander; Tadmor, Eitan
31
2000
High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462
Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R.
27
2004
A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337
Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian
25
2013
On reaction processes with saturating diffusion. Zbl 1094.35063
Kurganov, Alexander; Rosenau, Philip
22
2006
A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana
22
2002
Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230
Kurganov, Alexander; Petrova, Guergana
20
2009
Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong
18
2015
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081
Chertock, Alina; Kurganov, Alexander; Liu, Yu
18
2014
Numerical study of two-species chemotaxis models. Zbl 1282.92011
Kurganov, Alexander; Lukáčová-Medviďová, Mária
16
2014
A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145
Chertock, Alina; Kurganov, Alexander; Rykov, Yurii
15
2007
Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
15
2003
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011
Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander
14
2018
Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817
Kurganov, Alexander; Polizzi, Anthony
14
2009
Pedestrian flow models with slowdown interactions. Zbl 1282.90041
Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya
13
2014
New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112
Kurganov, Alexander; Liu, Yu
13
2012
Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
13
2009
Interface tracking method for compressible multifluids. Zbl 1232.76030
Chertock, Alina; Karni, Smadar; Kurganov, Alexander
13
2008
Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070
Karni, Smadar; Kurganov, Alexander
13
2005
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
13
2004
Central schemes and contact discontinuities. Zbl 0972.65055
Kurganov, Alexander; Petrova, Guergana
13
2000
Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097
Kurganov, A.; Rosenau, P.
13
1997
Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039
Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip
12
1999
Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan
11
2018
Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097
Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária
10
2018
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
10
2015
On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143
Chertock, Alina; Kurganov, Alexander
10
2009
On a hybrid finite-volume-particle method. Zbl 1077.65091
Chertock, Alina; Kurganov, Alexander
10
2004
Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395
Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander
9
2016
On a practical implementation of particle methods. Zbl 1103.65103
Chertock, Alina; Kurganov, Alexander
9
2006
Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
9
2006
Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083
Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana
9
2005
Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119
Kurganov, A.; Tadmor, E.
9
1997
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
8
2018
Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. Zbl 1416.65295
Liu, Xin; Albright, Jason; Epshteyn, Yekaterina; Kurganov, Alexander
8
2018
Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. Zbl 1349.76357
Liu, Xin; Mohammadian, Abdolmajid; Kurganov, Alexander; Infante Sedano, Julio Angel
8
2015
Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032
Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong
8
2013
Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117
Kurganov, Alexander; Prugger, Martina; Wu, Tong
7
2017
A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids. Zbl 1390.76516
Shirkhani, Hamidreza; Mohammadian, Abdolmajid; Seidou, Ousmane; Kurganov, Alexander
7
2016
On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138
Kurganov, Alexander; Levy, Doron; Rosenau, Philip
7
1998
A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong
6
2019
Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317
Cheng, Yuanzhen; Kurganov, Alexander
6
2016
Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
6
2015
Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115
Kurganov, Alexander; Miller, Jason
6
2014
A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126
Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander
6
2010
Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093
Kurganov, Alexander; Petrova, Guergana
5
2006
Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
5
2005
A fast explicit operator splitting method for modified Buckley-Leverett equations. Zbl 1327.76098
Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying
4
2015
The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058
Kurganov, Alexander; Ranch, Jeffrey
4
2009
Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115
Chertock, A.; Kashdan, E.; Kurganov, A.
4
2008
On degenerate saturated-diffusion equations with convection. Zbl 1067.35037
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
4
2005
Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078
Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren
3
2015
Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171
Chertock, Alina; Kurganov, Alexander
3
2009
A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032
Chertock, Alina; Kurganov, Alexander
3
2008
Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034
Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales
2
2019
Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072
Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander
2
2016
Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system. Zbl 1320.76086
Yang, Suo; Kurganov, Alexander; Liu, Yingjie
2
2015
Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124
Diaz, Manuel Jesús Castro; Cheng, Yuanzhen; Chertock, Alina; Kurganov, Alexander
2
2014
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047
Chertock, Alina; Herty, Michael; Kurganov, Alexander
2
2014
Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072
Constantin, Lucian A.; Kurganov, Alexander
2
2006
Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125
Chertock, Alina; Kurganov, Alexander
2
2005
An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735
Kurganov, Alexander
2
2003
Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014
Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong
1
2019
An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027
Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur
1
2019
On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
1
2018
Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385
Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander
1
2017
An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234
Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu
1
2013
A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong
6
2019
Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034
Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales
2
2019
Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014
Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong
1
2019
An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027
Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur
1
2019
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011
Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander
14
2018
Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan
11
2018
Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097
Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária
10
2018
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
8
2018
Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. Zbl 1416.65295
Liu, Xin; Albright, Jason; Epshteyn, Yekaterina; Kurganov, Alexander
8
2018
On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
1
2018
Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117
Kurganov, Alexander; Prugger, Martina; Wu, Tong
7
2017
Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385
Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander
1
2017
Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395
Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander
9
2016
A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids. Zbl 1390.76516
Shirkhani, Hamidreza; Mohammadian, Abdolmajid; Seidou, Ousmane; Kurganov, Alexander
7
2016
Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317
Cheng, Yuanzhen; Kurganov, Alexander
6
2016
Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072
Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander
2
2016
Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong
18
2015
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
10
2015
Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. Zbl 1349.76357
Liu, Xin; Mohammadian, Abdolmajid; Kurganov, Alexander; Infante Sedano, Julio Angel
8
2015
Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
6
2015
A fast explicit operator splitting method for modified Buckley-Leverett equations. Zbl 1327.76098
Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying
4
2015
Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078
Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren
3
2015
Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system. Zbl 1320.76086
Yang, Suo; Kurganov, Alexander; Liu, Yingjie
2
2015
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081
Chertock, Alina; Kurganov, Alexander; Liu, Yu
18
2014
Numerical study of two-species chemotaxis models. Zbl 1282.92011
Kurganov, Alexander; Lukáčová-Medviďová, Mária
16
2014
Pedestrian flow models with slowdown interactions. Zbl 1282.90041
Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya
13
2014
Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115
Kurganov, Alexander; Miller, Jason
6
2014
Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124
Diaz, Manuel Jesús Castro; Cheng, Yuanzhen; Chertock, Alina; Kurganov, Alexander
2
2014
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047
Chertock, Alina; Herty, Michael; Kurganov, Alexander
2
2014
A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337
Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian
25
2013
Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032
Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong
8
2013
An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234
Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu
1
2013
On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033
Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping
57
2012
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
45
2012
New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112
Kurganov, Alexander; Liu, Yu
13
2012
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068
Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana
38
2011
A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126
Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander
6
2010
New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010
Epshteyn, Yekaterina; Kurganov, Alexander
31
2009
Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230
Kurganov, Alexander; Petrova, Guergana
20
2009
Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817
Kurganov, Alexander; Polizzi, Anthony
14
2009
Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
13
2009
On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143
Chertock, Alina; Kurganov, Alexander
10
2009
The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058
Kurganov, Alexander; Ranch, Jeffrey
4
2009
Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171
Chertock, Alina; Kurganov, Alexander
3
2009
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045
Chertock, Alina; Kurganov, Alexander
46
2008
Interface tracking method for compressible multifluids. Zbl 1232.76030
Chertock, Alina; Karni, Smadar; Kurganov, Alexander
13
2008
Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115
Chertock, A.; Kashdan, E.; Kurganov, A.
4
2008
A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032
Chertock, Alina; Kurganov, Alexander
3
2008
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
82
2007
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356
Kurganov, Alexander; Petrova, Guergana; Popov, Bojan
45
2007
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
43
2007
A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145
Chertock, Alina; Kurganov, Alexander; Rykov, Yurii
15
2007
On reaction processes with saturating diffusion. Zbl 1094.35063
Kurganov, Alexander; Rosenau, Philip
22
2006
On a practical implementation of particle methods. Zbl 1103.65103
Chertock, Alina; Kurganov, Alexander
9
2006
Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
9
2006
Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093
Kurganov, Alexander; Petrova, Guergana
5
2006
Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072
Constantin, Lucian A.; Kurganov, Alexander
2
2006
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
36
2005
Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070
Karni, Smadar; Kurganov, Alexander
13
2005
Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083
Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana
9
2005
Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
5
2005
On degenerate saturated-diffusion equations with convection. Zbl 1067.35037
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
4
2005
Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125
Chertock, Alina; Kurganov, Alexander
2
2005
High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462
Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R.
27
2004
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
13
2004
On a hybrid finite-volume-particle method. Zbl 1077.65091
Chertock, Alina; Kurganov, Alexander
10
2004
Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
15
2003
An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735
Kurganov, Alexander
2
2003
Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398
Kurganov, Alexander; Levy, Doron
103
2002
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
102
2002
A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana
22
2002
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
153
2001
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090
Kurganov, Alexander; Petrova, Guergana
33
2001
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
283
2000
A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077
Kurganov, Alexander; Levy, Doron
56
2000
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077
Kurganov, Alexander; Tadmor, Eitan
31
2000
Central schemes and contact discontinuities. Zbl 0972.65055
Kurganov, Alexander; Petrova, Guergana
13
2000
Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039
Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip
12
1999
On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138
Kurganov, Alexander; Levy, Doron; Rosenau, Philip
7
1998
Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097
Kurganov, A.; Rosenau, P.
13
1997
Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119
Kurganov, A.; Tadmor, E.
9
1997
all top 5

Cited by 1,598 Authors

51 Kurganov, Alexander
25 Chertock, Alina E.
19 Bürger, Raimund
18 Shu, Chi-Wang
16 Popov, Boyan
14 Guermond, Jean-Luc
12 Cai, Li
12 Feng, Jianhu
12 Xing, Yulong
10 Gray, John Mark Nicholas Timm
10 Lukáčová-Medvid’ová, Mária
10 Seaïd, Mohammed
10 Xie, Wenxian
9 Fernández-Nieto, Enrique Domingo
9 Herty, Michael Matthias
9 Johnson, Christopher G.
9 Klar, Axel
9 Mohammadian, Abdolmajid M.
8 Dehghan Takht Fooladi, Mehdi
8 Dumbser, Michael
8 Li, Gang
8 Mulet, Pep
8 Omari, Pierpaolo
8 Ricchiuto, Mario
7 Epshteyn, Yekaterina
7 Karlsen, Kenneth Hvistendahl
7 Karni, Smadar
7 Liu, Hailiang
7 Liu, Xin
7 Noelle, Sebastian
7 Perthame, Benoît
7 Qiu, Jianxian
7 Rohde, Christian
7 Tadmor, Eitan
7 Tang, Huazhong
6 Berres, Stefan
6 Berthon, Christophe
6 Carrillo de la Plata, José Antonio
6 Caselles Costa, Vicent
6 Chini, Gregory P.
6 Edwards, Andrew N.
6 Kang, Kyungkeun
6 Kröker, Ilja
6 Li, Jiequan
6 Pareschi, Lorenzo
6 Petrova, Guergana
6 Puppo, Gabriella
6 Risebro, Nils Henrik
6 Zheng, Yuxi
5 Banda, Mapundi Kondwani
5 Calvo, Juan G.
5 Castro-Díaz, Manuel Jesús
5 Castro, Manuel J.
5 Chalons, Christophe
5 Degond, Pierre
5 Duran, Arnaud
5 Ha, Youngsoo
5 Harris, Paul J.
5 Huang, Juntao
5 Lee, Yongki
5 Levy, Doron
5 Li, Fengyan
5 López-Gómez, Julián
5 Loubère, Raphaël
5 Morales de Luna, Tomás
5 Parés Madroñal, Carlos
5 Qamar, Shamsul
5 Roberts, Stephen Gwyn
5 Touma, Rony
5 Viroulet, S.
5 Wen, Baole
5 Wu, Tong
5 Zahran, Yousef Hashem
4 Abgrall, Rémi
4 Benkhaldoun, Fayssal
4 Brodtkorb, André Rigland
4 Bryson, Steve
4 Caleffi, Valerio
4 Campos, Juan
4 Chen, Gui-Qiang G.
4 Cheng, Yingda
4 Cui, Shumo
4 Doering, Charles R.
4 Don, Wai Sun
4 Dong, Jian
4 Feng, Xinlong
4 Goatin, Paola
4 Gottlieb, Sigal
4 Hidalgo, Arturo
4 Hogg, Andrew J.
4 Landman, Kerry A.
4 LeVeque, Randall J.
4 Lie, Knut-Andreas
4 Liu, Yingjie
4 Mai Duc Thanh
4 Mungkasi, Sudi
4 Munkejord, Svend Tollak
4 Qian, Shouguo
4 Qiu, Jingmei
4 Rogov, Boris V.
...and 1,498 more Authors
all top 5

Cited in 153 Serials

154 Journal of Computational Physics
90 Journal of Scientific Computing
65 Computers and Fluids
49 Journal of Fluid Mechanics
33 Applied Numerical Mathematics
32 Applied Mathematics and Computation
30 Computers & Mathematics with Applications
27 SIAM Journal on Scientific Computing
22 Journal of Computational and Applied Mathematics
21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
19 Journal of Differential Equations
18 Computer Methods in Applied Mechanics and Engineering
16 Applied Mathematical Modelling
14 Mathematics of Computation
11 International Journal for Numerical Methods in Fluids
11 Mathematics and Computers in Simulation
11 SIAM Journal on Numerical Analysis
11 Numerical Methods for Partial Differential Equations
11 Discrete and Continuous Dynamical Systems
10 Journal of Mathematical Analysis and Applications
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Numerische Mathematik
10 Discrete and Continuous Dynamical Systems. Series B
9 Advances in Computational Mathematics
9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Physica D
8 Computational Geosciences
7 European Journal of Mechanics. B. Fluids
7 Nonlinear Analysis. Real World Applications
7 Kinetic and Related Models
6 Physics of Fluids
6 Journal of Hyperbolic Differential Equations
5 Computer Physics Communications
5 Applied Mathematics Letters
5 Computational Mathematics and Mathematical Physics
5 Mathematical Problems in Engineering
5 Networks and Heterogeneous Media
4 Journal of Engineering Mathematics
4 Nonlinearity
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 SIAM Journal on Mathematical Analysis
4 Computational and Applied Mathematics
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Biology
3 Journal of Mathematical Physics
3 International Journal for Numerical Methods in Engineering
3 Acta Mathematicae Applicatae Sinica. English Series
3 Engineering Analysis with Boundary Elements
3 Computing and Visualization in Science
3 Communications in Nonlinear Science and Numerical Simulation
3 Matematicheskoe Modelirovanie
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Multiscale Modeling & Simulation
3 International Journal of Computational Methods
2 Communications in Mathematical Physics
2 Mathematical Biosciences
2 Physics Letters. A
2 Wave Motion
2 Bulletin of Mathematical Biology
2 BIT
2 Calcolo
2 Quarterly of Applied Mathematics
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Communications in Partial Differential Equations
2 Bulletin of the American Mathematical Society. New Series
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 International Journal of Computational Fluid Dynamics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Discrete Dynamics in Nature and Society
2 Journal of Mathematical Fluid Mechanics
2 Living Reviews in Relativity
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 The ANZIAM Journal
2 Archives of Computational Methods in Engineering
2 Advanced Nonlinear Studies
2 Communications on Pure and Applied Analysis
2 Journal of Theoretical Biology
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 SMAI Journal of Computational Mathematics
1 Acta Mechanica
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Transport Theory and Statistical Physics
1 Theoretical and Computational Fluid Dynamics
1 Applied Mathematics and Optimization
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Chinese Annals of Mathematics. Series B
1 Optimization
...and 53 more Serials

Citations by Year