Edit Profile (opens in new tab) Kurganov, Alexander Compute Distance To: Compute Author ID: kurganov.alexander Published as: Kurganov, Alexander; Kurganov, A. External Links: ORCID Documents Indexed: 104 Publications since 1997 Co-Authors: 78 Co-Authors with 101 Joint Publications 2,001 Co-Co-Authors all top 5 Co-Authors 2 single-authored 42 Chertock, Alina E. 17 Petrova, Guergana 9 Wu, Tong 7 Liu, Xin 7 Liu, Yongle 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 4 Qu, Zhuolin 3 Lukáčová-Medvid’ová, Mária 3 Zeitlin, Vladimir 2 Bryson, Steve 2 Castro-Díaz, Manuel Jesús 2 Doering, Charles Rogers 2 Garg, Naveen Kumar 2 Infante Sedano, Julio Angel 2 Kashdan, Eugene 2 Kurochkin, Dmitry 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, Yunlong 1 Chu, Shaoshuai 1 Coco, Armando 1 Constantin, Lucian A. 1 Dewar, Jeremy D. 1 Don, Wai Sun 1 Dontcheva, Lubomira A. 1 Dudzinski, Michael 1 Fellner, Klemens 1 Ghazizadeh, Mohammad A. 1 Goodman, Jonathan B. 1 Hu, Hengrui 1 Johnston, Hans 1 Kao, Chiu-Yen 1 Kirr, Eduard 1 Kliakhandler, Igor L. 1 Lei, Minlan 1 Leopold, Maren 1 Lin, Chitien 1 Liu, Yingjie 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 Rozanova, Olga S. 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 Zenk, Markus all top 5 Serials 12 Journal of Computational Physics 10 Journal of Scientific Computing 7 SIAM Journal on Scientific Computing 6 Communications in Computational Physics 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computers and Fluids 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 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 Geophysical and Astrophysical Fluid Dynamics 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 1 Communications on Applied Mathematics and Computation all top 5 Fields 78 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 20 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 93 Publications have been cited 2,139 times in 1,186 Documents Cited by ▼ Year ▼ New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085Kurganov, Alexander; Tadmor, Eitan 328 2000 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 168 2001 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046Kurganov, Alexander; Tadmor, Eitan 118 2002 Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398Kurganov, Alexander; Levy, Doron 118 2002 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008Kurganov, Alexander; Petrova, Guergana 105 2007 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping 67 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. 61 2012 A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077Kurganov, Alexander; Levy, Doron 59 2000 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 54 2007 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455Kurganov, Alexander; Lin, Chitien 53 2007 A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045Chertock, Alina; Kurganov, Alexander 53 2008 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 42 2011 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122Kurganov, Alexander; Petrova, Guergana 41 2005 New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077Kurganov, Alexander; Tadmor, Eitan 37 2000 A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian 37 2013 New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010Epshteyn, Yekaterina; Kurganov, Alexander 37 2009 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. 34 2004 A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090Kurganov, Alexander; Petrova, Guergana 34 2001 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230Kurganov, Alexander; Petrova, Guergana 26 2009 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 25 2018 A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092Karni, Smadar; Kurganov, Alexander; Petrova, Guergana 24 2002 On reaction processes with saturating diffusion. Zbl 1094.35063Kurganov, Alexander; Rosenau, Philip 24 2006 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 23 2015 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 21 2014 Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081Chertock, Alina; Kurganov, Alexander; Liu, Yu 21 2014 New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112Kurganov, Alexander; Liu, Yu 18 2012 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817Kurganov, Alexander; Polizzi, Anthony 18 2009 High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 17 2018 Pedestrian flow models with slowdown interactions. Zbl 1282.90041Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya 17 2014 Finite-volume schemes for shallow-water equations. Zbl 1430.76372Kurganov, Alexander 17 2018 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 17 2007 Interface tracking method for compressible multifluids. Zbl 1232.76030Chertock, Alina; Karni, Smadar; Kurganov, Alexander 17 2008 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 17 2003 Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097Kurganov, A.; Rosenau, P. 16 1997 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 16 2009 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao 15 2015 Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip 15 1999 Central schemes and contact discontinuities. Zbl 0972.65055Kurganov, Alexander; Petrova, Guergana 14 2000 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 14 2004 Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070Karni, Smadar; Kurganov, Alexander 14 2005 On a hybrid finite-volume-particle method. Zbl 1077.65091Chertock, Alina; Kurganov, Alexander 12 2004 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 12 2018 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 12 2019 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 12 2018 Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander 12 2016 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 11 2013 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 11 2006 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143Chertock, Alina; Kurganov, Alexander 11 2009 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 10 2015 On a practical implementation of particle methods. Zbl 1103.65103Chertock, Alina; Kurganov, Alexander 10 2006 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 10 2005 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 10 2016 Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117Kurganov, Alexander; Prugger, Martina; Wu, Tong 8 2017 Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 8 2015 Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317Cheng, Yuanzhen; Kurganov, Alexander 7 2016 Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115Kurganov, Alexander; Miller, Jason 7 2014 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 7 2010 On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138Kurganov, Alexander; Levy, Doron; Rosenau, Philip 7 1998 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 7 2005 Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales 7 2019 Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119Kurganov, A.; Tadmor, E. 6 1997 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115Chertock, A.; Kashdan, E.; Kurganov, A. 6 2008 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032Chertock, Alina; Kurganov, Alexander 6 2008 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren 5 2015 Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093Kurganov, Alexander; Petrova, Guergana 5 2006 An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192Liu, Xin; Chertock, Alina; Kurganov, Alexander 5 2019 A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 5 2020 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 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur 4 2019 A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 07414378Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni 3 2018 Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171Chertock, Alina; Kurganov, Alexander 3 2009 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047Chertock, Alina; Herty, Michael; Kurganov, Alexander 3 2014 Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. Zbl 1457.65063Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander 3 2020 Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 2 2021 An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. Zbl 07335336Ghazizadeh, Mohammad A.; Mohammadian, Abdolmajid; Kurganov, Alexander 2 2020 Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander 2 2016 Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124Diaz, Manuel Jesús Castro; Cheng, Yuanzhen; Chertock, Alina; Kurganov, Alexander 2 2014 Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125Chertock, Alina; Kurganov, Alexander 2 2005 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 Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072Constantin, Lucian A.; Kurganov, Alexander 2 2006 An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735Kurganov, Alexander 2 2003 On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 2 2018 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 2 2019 High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047Chertock, Alina; Kurganov, Alexander 2 2019 Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander 1 2017 Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 07435302Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong 1 2022 An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu 1 2013 Hybrid finite-volume-particle method for dusty gas flows. Zbl 1416.76143Chertock, Alina; Cui, Shumo; Kurganov, Alexander 1 2017 Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. Zbl 1446.76133Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui 1 2020 Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus 1 2020 Central-upwind scheme for a non-hydrostatic Saint-Venant system. Zbl 1460.65105Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun 1 2020 Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 07435302Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong 1 2022 Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 2 2021 A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 5 2020 Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. Zbl 1457.65063Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander 3 2020 An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. Zbl 07335336Ghazizadeh, Mohammad A.; Mohammadian, Abdolmajid; Kurganov, Alexander 2 2020 Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. Zbl 1446.76133Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui 1 2020 Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus 1 2020 Central-upwind scheme for a non-hydrostatic Saint-Venant system. Zbl 1460.65105Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun 1 2020 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 12 2019 Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales 7 2019 An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192Liu, Xin; Chertock, Alina; Kurganov, Alexander 5 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 4 2019 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 2 2019 High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047Chertock, Alina; Kurganov, Alexander 2 2019 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 25 2018 High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 17 2018 Finite-volume schemes for shallow-water equations. Zbl 1430.76372Kurganov, Alexander 17 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 12 2018 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 12 2018 A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 07414378Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni 3 2018 On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 2 2018 Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117Kurganov, Alexander; Prugger, Martina; Wu, Tong 8 2017 Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander 1 2017 Hybrid finite-volume-particle method for dusty gas flows. Zbl 1416.76143Chertock, Alina; Cui, Shumo; 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 12 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 10 2016 Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317Cheng, Yuanzhen; Kurganov, Alexander 7 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 23 2015 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao 15 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 10 2015 Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 8 2015 Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren 5 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 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 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 21 2014 Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081Chertock, Alina; Kurganov, Alexander; Liu, Yu 21 2014 Pedestrian flow models with slowdown interactions. Zbl 1282.90041Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya 17 2014 Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115Kurganov, Alexander; Miller, Jason 7 2014 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047Chertock, Alina; Herty, Michael; Kurganov, Alexander 3 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 A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian 37 2013 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 11 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 67 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. 61 2012 New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112Kurganov, Alexander; Liu, Yu 18 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 42 2011 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 7 2010 New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010Epshteyn, Yekaterina; Kurganov, Alexander 37 2009 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230Kurganov, Alexander; Petrova, Guergana 26 2009 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817Kurganov, Alexander; Polizzi, Anthony 18 2009 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 16 2009 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143Chertock, Alina; Kurganov, Alexander 11 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 53 2008 Interface tracking method for compressible multifluids. Zbl 1232.76030Chertock, Alina; Karni, Smadar; Kurganov, Alexander 17 2008 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115Chertock, A.; Kashdan, E.; Kurganov, A. 6 2008 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032Chertock, Alina; Kurganov, Alexander 6 2008 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008Kurganov, Alexander; Petrova, Guergana 105 2007 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 54 2007 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455Kurganov, Alexander; Lin, Chitien 53 2007 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 17 2007 On reaction processes with saturating diffusion. Zbl 1094.35063Kurganov, Alexander; Rosenau, Philip 24 2006 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 11 2006 On a practical implementation of particle methods. Zbl 1103.65103Chertock, Alina; Kurganov, Alexander 10 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 41 2005 Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070Karni, Smadar; Kurganov, Alexander 14 2005 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 10 2005 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 7 2005 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 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. 34 2004 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 14 2004 On a hybrid finite-volume-particle method. Zbl 1077.65091Chertock, Alina; Kurganov, Alexander 12 2004 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 17 2003 An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735Kurganov, Alexander 2 2003 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046Kurganov, Alexander; Tadmor, Eitan 118 2002 Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398Kurganov, Alexander; Levy, Doron 118 2002 A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092Karni, Smadar; Kurganov, Alexander; Petrova, Guergana 24 2002 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 168 2001 A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090Kurganov, Alexander; Petrova, Guergana 34 2001 New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085Kurganov, Alexander; Tadmor, Eitan 328 2000 A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077Kurganov, Alexander; Levy, Doron 59 2000 New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077Kurganov, Alexander; Tadmor, Eitan 37 2000 Central schemes and contact discontinuities. Zbl 0972.65055Kurganov, Alexander; Petrova, Guergana 14 2000 Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip 15 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. 16 1997 Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119Kurganov, A.; Tadmor, E. 6 1997 all cited Publications top 5 cited Publications all top 5 Cited by 1,784 Authors 58 Kurganov, Alexander 29 Chertock, Alina E. 20 Bürger, Raimund 19 Shu, Chi-Wang 16 Popov, Boyan 16 Xing, Yulong 14 Guermond, Jean-Luc 13 Feng, Jianhu 12 Cai, Li 12 Gray, John Mark Nicholas Timm 12 Herty, Michael Matthias 12 Lukáčová-Medvid’ová, Mária 11 Johnson, Christopher G. 11 Klar, Axel 11 Seaïd, Mohammed 10 Fernández-Nieto, Enrique Domingo 10 Li, Gang 10 Qiu, Jianxian 10 Xie, Wenxian 9 Dumbser, Michael 9 Mohammadian, Abdolmajid M. 9 Noelle, Sebastian 8 Dehghan Takht Fooladi, Mehdi 8 Epshteyn, Yekaterina 8 Kang, Kyungkeun 8 Liu, Xin 8 Mulet, Pep 8 Omari, Pierpaolo 8 Tadmor, Eitan 8 Tang, Huazhong 7 Berthon, Christophe 7 Carrillo de la Plata, José Antonio 7 Karlsen, Kenneth Hvistendahl 7 Karni, Smadar 7 Kuzmin, Dmitri 7 Liu, Hailiang 7 Morales de Luna, Tomás 7 Pareschi, Lorenzo 7 Perthame, Benoît 7 Puppo, Gabriella 7 Qamar, Shamsul 7 Ricchiuto, Mario 7 Rohde, Christian 7 Winkler, Michael 7 Wu, Tong 6 Berres, Stefan 6 Caselles Costa, Vicent 6 Castro-Díaz, Manuel Jesús 6 Chini, Gregory P. 6 Edwards, Andrew N. 6 Feng, Xinlong 6 Klingenberg, Christian 6 Kröker, Ilja 6 Li, Jiequan 6 Parés Madroñal, Carlos 6 Petrova, Guergana 6 Qian, Shouguo 6 Risebro, Nils Henrik 6 Zheng, Yuxi 5 Abgrall, Rémi 5 Banda, Mapundi Kondwani 5 Beljadid, Abdelaziz 5 Benkhaldoun, Fayssal 5 Brodtkorb, André Rigland 5 Calvo, Juan G. 5 Castro, Manuel J. 5 Chalons, Christophe 5 Chen, Gui-Qiang G. 5 Cheng, Yingda 5 De Luna, Manuel Quezada 5 Degond, Pierre 5 Dong, Jian 5 Duran, Arnaud 5 Gao, Jinmei 5 Goatin, Paola 5 Ha, Youngsoo 5 Harris, Paul J. 5 Hogg, Andrew J. 5 Huang, Juntao 5 Lee, Yongki 5 Levy, Doron 5 Li, Fengyan 5 Liu, Yongle 5 López-Gómez, Julián 5 Loubère, Raphaël 5 Roberts, Stephen Gwyn 5 Toro, Eleuterio F. 5 Touma, Rony 5 Villada, Luis Miguel 5 Viroulet, S. 5 Wen, Baole 5 Xiao, Feng 5 Zahran, Yousef Hashem 5 Zhang, Qian 5 Zia, Saqib 5 Zorío, David 4 Abedian, Rooholah 4 Balbás, Jorge 4 Bellomo, Nicola 4 Berberich, Jonas P. ...and 1,684 more Authors all top 5 Cited in 179 Serials 180 Journal of Computational Physics 101 Journal of Scientific Computing 79 Computers and Fluids 62 Journal of Fluid Mechanics 38 Applied Mathematics and Computation 36 Applied Numerical Mathematics 32 Computers & Mathematics with Applications 31 SIAM Journal on Scientific Computing 25 Computer Methods in Applied Mechanics and Engineering 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 23 Journal of Computational and Applied Mathematics 21 Communications in Computational Physics 20 Journal of Differential Equations 17 Applied Mathematical Modelling 14 Mathematics of Computation 13 Mathematics and Computers in Simulation 12 Numerische Mathematik 12 SIAM Journal on Numerical Analysis 12 Discrete and Continuous Dynamical Systems 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 International Journal for Numerical Methods in Fluids 11 Journal of Mathematical Analysis and Applications 11 Numerical Methods for Partial Differential Equations 11 Advances in Computational Mathematics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Physica D 10 Discrete and Continuous Dynamical Systems. Series B 9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Computational Geosciences 8 Kinetic and Related Models 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 European Journal of Mechanics. B. Fluids 7 Nonlinear Analysis. Real World Applications 6 Physics of Fluids 6 International Journal of Computational Fluid Dynamics 6 Journal of Hyperbolic Differential Equations 6 Networks and Heterogeneous Media 5 Computer Physics Communications 5 Journal of Engineering Mathematics 5 Applied Mathematics Letters 5 Computational Mathematics and Mathematical Physics 5 Computational and Applied Mathematics 5 Engineering Analysis with Boundary Elements 5 Mathematical Problems in Engineering 5 Advances in Applied Mathematics and Mechanics 4 Nonlinearity 4 SIAM Journal on Mathematical Analysis 4 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of Computational Methods 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Wave Motion 3 International Journal for Numerical Methods in Engineering 3 Quarterly of Applied Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Computing and Visualization in Science 3 Journal of Mathematical Fluid Mechanics 3 Matematicheskoe Modelirovanie 3 Advanced Nonlinear Studies 3 Communications on Pure and Applied Analysis 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Multiscale Modeling & Simulation 3 Journal of Cosmology and Astroparticle Physics 3 International Journal of Numerical Analysis and Modeling 3 Mathematical Biosciences and Engineering 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Communications on Applied Mathematics and Computation 3 SN Partial Differential Equations and Applications 2 Geophysical and Astrophysical Fluid Dynamics 2 Mathematical Biosciences 2 Physics Letters. A 2 Bulletin of Mathematical Biology 2 BIT 2 Calcolo 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 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Computational Optimization and Applications 2 International Journal of Numerical Methods for Heat & Fluid Flow 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 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 SIAM Journal on Applied Dynamical Systems 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 2 International Journal on Finite Volumes 1 Acta Mechanica ...and 79 more Serials all top 5 Cited in 33 Fields 682 Fluid mechanics (76-XX) 651 Numerical analysis (65-XX) 623 Partial differential equations (35-XX) 181 Biology and other natural sciences (92-XX) 68 Geophysics (86-XX) 41 Statistical mechanics, structure of matter (82-XX) 32 Mechanics of deformable solids (74-XX) 32 Operations research, mathematical programming (90-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 22 Classical thermodynamics, heat transfer (80-XX) 18 Ordinary differential equations (34-XX) 14 Probability theory and stochastic processes (60-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Relativity and gravitational theory (83-XX) 11 Astronomy and astrophysics (85-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Computer science (68-XX) 7 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 Difference and functional equations (39-XX) Citations by Year