Edit Profile Kurganov, Alexander Compute Distance To: Compute Author ID: 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 all top 5 Serials 11 Journal of Computational Physics 8 Journal of Scientific Computing 7 SIAM Journal on Scientific Computing 5 Communications in Mathematical Sciences 4 Nonlinearity 4 Numerische Mathematik 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Communications in Computational Physics 3 Computers and Fluids 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Fluid Mechanics 2 Applied Numerical Mathematics 2 Advances in Computational Mathematics 2 Kinetic and Related Models 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 Computational Optimization and Applications 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Acta Numerica 1 Networks and Heterogeneous Media 1 Communications in Mathematical Research 1 SMAI Journal of Computational Mathematics all top 5 Fields 71 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 60 Fluid mechanics (76-XX) 18 Geophysics (86-XX) 9 Biology and other natural sciences (92-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 0987.65085Kurganov, Alexander; Tadmor, Eitan 283 2000 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 153 2001 Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398Kurganov, Alexander; Levy, Doron 103 2002 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046Kurganov, Alexander; Tadmor, Eitan 102 2002 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008Kurganov, Alexander; Petrova, Guergana 82 2007 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping 57 2012 A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077Kurganov, Alexander; Levy, Doron 56 2000 A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045Chertock, Alina; Kurganov, Alexander 46 2008 Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 45 2012 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 45 2007 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455Kurganov, Alexander; Lin, Chitien 43 2007 Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana 38 2011 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122Kurganov, Alexander; Petrova, Guergana 36 2005 A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090Kurganov, Alexander; Petrova, Guergana 33 2001 New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010Epshteyn, Yekaterina; Kurganov, Alexander 31 2009 New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077Kurganov, Alexander; Tadmor, Eitan 31 2000 High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462Otero, 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 1426.76337Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian 25 2013 On reaction processes with saturating diffusion. Zbl 1094.35063Kurganov, Alexander; Rosenau, Philip 22 2006 A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092Karni, Smadar; Kurganov, Alexander; Petrova, Guergana 22 2002 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230Kurganov, Alexander; Petrova, Guergana 20 2009 Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong 18 2015 Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081Chertock, Alina; Kurganov, Alexander; Liu, Yu 18 2014 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 16 2014 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 15 2007 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 15 2003 High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 14 2018 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817Kurganov, Alexander; Polizzi, Anthony 14 2009 Pedestrian flow models with slowdown interactions. Zbl 1282.90041Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya 13 2014 New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112Kurganov, Alexander; Liu, Yu 13 2012 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 13 2009 Interface tracking method for compressible multifluids. Zbl 1232.76030Chertock, Alina; Karni, Smadar; Kurganov, Alexander 13 2008 Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070Karni, Smadar; Kurganov, Alexander 13 2005 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 13 2004 Central schemes and contact discontinuities. Zbl 0972.65055Kurganov, Alexander; Petrova, Guergana 13 2000 Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097Kurganov, A.; Rosenau, P. 13 1997 Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip 12 1999 Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan 11 2018 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 10 2018 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao 10 2015 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143Chertock, Alina; Kurganov, Alexander 10 2009 On a hybrid finite-volume-particle method. Zbl 1077.65091Chertock, Alina; Kurganov, Alexander 10 2004 Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander 9 2016 On a practical implementation of particle methods. Zbl 1103.65103Chertock, Alina; Kurganov, Alexander 9 2006 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 9 2006 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 9 2005 Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119Kurganov, A.; Tadmor, E. 9 1997 Finite-volume schemes for shallow-water equations. Zbl 1430.76372Kurganov, 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 1416.65295Liu, 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 1349.76357Liu, Xin; Mohammadian, Abdolmajid; Kurganov, Alexander; Infante Sedano, Julio Angel 8 2015 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032Chertock, 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 1364.76117Kurganov, Alexander; Prugger, Martina; Wu, Tong 7 2017 A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids. Zbl 1390.76516Shirkhani, Hamidreza; Mohammadian, Abdolmajid; Seidou, Ousmane; Kurganov, Alexander 7 2016 On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138Kurganov, Alexander; Levy, Doron; Rosenau, Philip 7 1998 A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong 6 2019 Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317Cheng, Yuanzhen; Kurganov, Alexander 6 2016 Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 6 2015 Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115Kurganov, Alexander; Miller, Jason 6 2014 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 6 2010 Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093Kurganov, Alexander; Petrova, Guergana 5 2006 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 A fast explicit operator splitting method for modified Buckley-Leverett equations. Zbl 1327.76098Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying 4 2015 The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058Kurganov, Alexander; Ranch, Jeffrey 4 2009 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115Chertock, A.; Kashdan, E.; Kurganov, A. 4 2008 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 4 2005 Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren 3 2015 Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171Chertock, Alina; Kurganov, Alexander 3 2009 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032Chertock, Alina; Kurganov, Alexander 3 2008 Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales 2 2019 Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072Bernstein, 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 1320.76086Yang, Suo; Kurganov, Alexander; Liu, Yingjie 2 2015 Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124Diaz, 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 1306.49047Chertock, Alina; Herty, Michael; Kurganov, Alexander 2 2014 Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072Constantin, Lucian A.; Kurganov, Alexander 2 2006 Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125Chertock, Alina; Kurganov, Alexander 2 2005 An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735Kurganov, Alexander 2 2003 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 1 2019 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027Chertock, 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 1407.49042Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 1 2018 Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander 1 2017 An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234Chen, 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 1418.76033Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong 6 2019 Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales 2 2019 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 1 2019 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027Chertock, 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 1380.92011Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 14 2018 Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan 11 2018 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 10 2018 Finite-volume schemes for shallow-water equations. Zbl 1430.76372Kurganov, 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 1416.65295Liu, Xin; Albright, Jason; Epshteyn, Yekaterina; Kurganov, Alexander 8 2018 On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 1 2018 Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117Kurganov, Alexander; Prugger, Martina; Wu, Tong 7 2017 Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385Liu, 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 1390.76395Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander 9 2016 A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids. Zbl 1390.76516Shirkhani, Hamidreza; Mohammadian, Abdolmajid; Seidou, Ousmane; Kurganov, Alexander 7 2016 Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317Cheng, Yuanzhen; Kurganov, Alexander 6 2016 Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander 2 2016 Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong 18 2015 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038Cheng, 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 1349.76357Liu, 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 1308.49020Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 6 2015 A fast explicit operator splitting method for modified Buckley-Leverett equations. Zbl 1327.76098Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying 4 2015 Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078Dewar, 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 1320.76086Yang, Suo; Kurganov, Alexander; Liu, Yingjie 2 2015 Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081Chertock, Alina; Kurganov, Alexander; Liu, Yu 18 2014 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 16 2014 Pedestrian flow models with slowdown interactions. Zbl 1282.90041Chertock, 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 1302.76115Kurganov, Alexander; Miller, Jason 6 2014 Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124Diaz, 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 1306.49047Chertock, Alina; Herty, Michael; Kurganov, Alexander 2 2014 A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian 25 2013 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 8 2013 An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu 1 2013 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033Chertock, 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 1250.76191Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 45 2012 New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112Kurganov, Alexander; Liu, Yu 13 2012 Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana 38 2011 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 6 2010 New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010Epshteyn, Yekaterina; Kurganov, Alexander 31 2009 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230Kurganov, Alexander; Petrova, Guergana 20 2009 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817Kurganov, Alexander; Polizzi, Anthony 14 2009 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 13 2009 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143Chertock, Alina; Kurganov, Alexander 10 2009 The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058Kurganov, Alexander; Ranch, Jeffrey 4 2009 Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171Chertock, Alina; Kurganov, Alexander 3 2009 A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045Chertock, Alina; Kurganov, Alexander 46 2008 Interface tracking method for compressible multifluids. Zbl 1232.76030Chertock, Alina; Karni, Smadar; Kurganov, Alexander 13 2008 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115Chertock, A.; Kashdan, E.; Kurganov, A. 4 2008 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032Chertock, Alina; Kurganov, Alexander 3 2008 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008Kurganov, Alexander; Petrova, Guergana 82 2007 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 45 2007 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455Kurganov, Alexander; Lin, Chitien 43 2007 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 15 2007 On reaction processes with saturating diffusion. Zbl 1094.35063Kurganov, Alexander; Rosenau, Philip 22 2006 On a practical implementation of particle methods. Zbl 1103.65103Chertock, Alina; Kurganov, Alexander 9 2006 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 9 2006 Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093Kurganov, Alexander; Petrova, Guergana 5 2006 Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072Constantin, Lucian A.; Kurganov, Alexander 2 2006 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122Kurganov, Alexander; Petrova, Guergana 36 2005 Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070Karni, Smadar; Kurganov, Alexander 13 2005 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 9 2005 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 4 2005 Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125Chertock, Alina; Kurganov, Alexander 2 2005 High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462Otero, 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 1079.76045Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 13 2004 On a hybrid finite-volume-particle method. Zbl 1077.65091Chertock, Alina; Kurganov, Alexander 10 2004 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 15 2003 An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735Kurganov, Alexander 2 2003 Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398Kurganov, Alexander; Levy, Doron 103 2002 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046Kurganov, Alexander; Tadmor, Eitan 102 2002 A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092Karni, Smadar; Kurganov, Alexander; Petrova, Guergana 22 2002 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 153 2001 A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090Kurganov, Alexander; Petrova, Guergana 33 2001 New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085Kurganov, Alexander; Tadmor, Eitan 283 2000 A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077Kurganov, Alexander; Levy, Doron 56 2000 New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077Kurganov, Alexander; Tadmor, Eitan 31 2000 Central schemes and contact discontinuities. Zbl 0972.65055Kurganov, Alexander; Petrova, Guergana 13 2000 Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip 12 1999 On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138Kurganov, Alexander; Levy, Doron; Rosenau, Philip 7 1998 Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097Kurganov, A.; Rosenau, P. 13 1997 Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119Kurganov, A.; Tadmor, E. 9 1997 all cited Publications top 5 cited Publications 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 all top 5 Cited in 35 Fields 553 Fluid mechanics (76-XX) 549 Numerical analysis (65-XX) 521 Partial differential equations (35-XX) 146 Biology and other natural sciences (92-XX) 56 Geophysics (86-XX) 33 Statistical mechanics, structure of matter (82-XX) 25 Operations research, mathematical programming (90-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 23 Mechanics of deformable solids (74-XX) 19 Classical thermodynamics, heat transfer (80-XX) 16 Ordinary differential equations (34-XX) 13 Probability theory and stochastic processes (60-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Astronomy and astrophysics (85-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Relativity and gravitational theory (83-XX) 7 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 1 Quantum theory (81-XX) Citations by Year