Edit Profile (opens in new tab) Kurganov, Alexander Co-Author Distance Author ID: kurganov.alexander Published as: Kurganov, Alexander; Kurganov, A. External Links: ORCID Documents Indexed: 133 Publications since 1997, including 7 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 97 Co-Authors with 131 Joint Publications 2,636 Co-Co-Authors all top 5 Co-Authors 2 single-authored 53 Chertock, Alina E. 17 Petrova, Guergana 14 Liu, Yongle 11 Wu, Tong 10 Chu, Shaoshuai 8 Lukáčová-Medviďová, Mária 7 Liu, Xin 6 Cui, Shumo 6 Herty, Michael Matthias 6 Rosenau, Philip S. 5 Cheng, Yuanzhen 5 Mohammadian, Abdolmajid M. 5 Qu, Zhuolin 5 Tadmor, Eitan 5 Zeitlin, Vladimir 4 Epshteyn, Yekaterina 4 Karni, Smadar 4 Levy, Doron 4 Xin, Ruixiao 3 Cao, Yangyang 3 Chen, Xi 3 Liu, Yu 2 Bryson, Steve 2 Castro-Díaz, Manuel Jesús 2 Doering, Charles Rogers 2 Don, Wai Sun 2 Garg, Naveen Kumar 2 Infante Sedano, Julio Angel 2 Iskhakov, Arsen S. 2 Janajra, Safa 2 Kashdan, Eugene 2 Kurochkin, Dmitry 2 Miller, Jason 2 Na, Mingye 2 Noelle, Sebastian 2 Özcan, Şeyma Nur 2 Polizzi, Anthony 2 Redle, Michael 2 Spichtinger, Peter 2 Wang, Baoshan 2 Wang, Chenxi 2 Yan, Jun 1 Albright, Jason 1 Beljadid, Abdelaziz 1 Bernstein, Andrew 1 Bollermann, Andreas 1 Chen, Guoxian 1 Chen, Yiming 1 Chen, Yunlong 1 Coco, Armando 1 Constantin, Lucian A. 1 Dewar, Jeremy D. 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 Klingenberg, Christian F. 1 Kovyrkina, Olyana A. 1 Lei, Minlan 1 Leopold, Maren 1 Lin, Chitien 1 Liu, Yingjie 1 Lorz, Alexander 1 Markowich, Peter Alexander 1 Medovikov, Alexei A. 1 Mohammadian, Saeed 1 Morales de Luna, Tomás 1 Ostapenko, Vladimir Viktorovich 1 Otero, Jesse 1 Popov, Boyan 1 Prugger, Martina 1 Ranch, Jeffrey 1 Ricchiuto, Mario 1 Rozanova, Olga S. 1 Russo, Giovanni 1 Rykov, Yurii G. 1 Seidou, Ousmane 1 Shirkhani, Hamidreza 1 Tang, Tao 1 Timofeyev, Ilya 1 Wang, Xuefeng 1 Wang, Ying 1 Wolfkill, Karlan 1 Worthing, Rodney A. 1 Wu, Kailiang 1 Wu, Yaping 1 Yang, Suo 1 Yu, Hui 1 Zenk, Markus 1 Zhang, Zhen 1 Zheng, Zuduo all top 5 Serials 17 Journal of Computational Physics 13 Journal of Scientific Computing 9 Communications in Computational Physics 8 SIAM Journal on Scientific Computing 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Communications in Mathematical Sciences 4 Nonlinearity 4 Numerische Mathematik 4 Numerical Methods for Partial Differential Equations 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computers and Fluids 3 SIAM Journal on Numerical Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Fluid Mechanics 2 Applied Numerical Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Advances in Computational Mathematics 2 Kinetic and Related Models 2 East Asian Journal on Applied Mathematics 2 Communications on Applied Mathematics and Computation 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 Applied Mathematics and Computation 1 Calcolo 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 Mathematics of Climate and Weather Forecasting 1 SMAI Journal of Computational Mathematics all top 5 Fields 98 Numerical analysis (65-XX) 87 Fluid mechanics (76-XX) 82 Partial differential equations (35-XX) 27 Geophysics (86-XX) 11 Biology and other natural sciences (92-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-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 113 Publications have been cited 2,881 times in 1,534 Documents Cited by ▼ Year ▼ New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085 Kurganov, Alexander; Tadmor, Eitan 390 2000 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091 Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 208 2001 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046 Kurganov, Alexander; Tadmor, Eitan 168 2002 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008 Kurganov, Alexander; Petrova, Guergana 147 2007 Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398 Kurganov, Alexander; Levy, Doron 135 2002 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033 Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping 79 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. 79 2012 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455 Kurganov, Alexander; Lin, Chitien 75 2007 A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045 Chertock, Alina; Kurganov, Alexander 73 2008 A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077 Kurganov, Alexander; Levy, Doron 66 2000 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356 Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 66 2007 A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337 Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian 55 2013 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 54 2011 New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010 Epshteyn, Yekaterina; Kurganov, Alexander 50 2009 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 50 2018 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122 Kurganov, Alexander; Petrova, Guergana 45 2005 New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077 Kurganov, Alexander; Tadmor, Eitan 42 2000 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230 Kurganov, Alexander; Petrova, Guergana 37 2009 A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090 Kurganov, Alexander; Petrova, Guergana 37 2001 Finite-volume schemes for shallow-water equations. Zbl 1430.76372 Kurganov, Alexander 37 2018 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. 36 2004 Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081 Chertock, Alina; Kurganov, Alexander; Liu, Yu 34 2014 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 33 2019 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 32 2015 A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092 Karni, Smadar; Kurganov, Alexander; Petrova, Guergana 31 2002 On reaction processes with saturating diffusion. Zbl 1094.35063 Kurganov, Alexander; Rosenau, Philip 31 2006 Numerical study of two-species chemotaxis models. Zbl 1282.92011 Kurganov, Alexander; Lukáčová-Medviďová, Mária 28 2014 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038 Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao 27 2015 New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112 Kurganov, Alexander; Liu, Yu 26 2012 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817 Kurganov, Alexander; Polizzi, Anthony 23 2009 High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011 Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 23 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 23 2018 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145 Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 21 2007 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 20 2003 Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097 Kurganov, A.; Rosenau, P. 20 1997 Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317 Cheng, Yuanzhen; Kurganov, Alexander 20 2016 Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034 Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales 20 2019 Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070 Karni, Smadar; Kurganov, Alexander 19 2005 Interface tracking method for compressible multifluids. Zbl 1232.76030 Chertock, Alina; Karni, Smadar; Kurganov, Alexander 19 2008 Pedestrian flow models with slowdown interactions. Zbl 1282.90041 Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya 19 2014 Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039 Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip 18 1999 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045 Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 17 2004 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 17 2009 Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117 Kurganov, Alexander; Prugger, Martina; Wu, Tong 16 2017 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 16 2018 Central schemes and contact discontinuities. Zbl 0972.65055 Kurganov, Alexander; Petrova, Guergana 15 2000 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143 Chertock, Alina; Kurganov, Alexander 15 2009 Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395 Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander 15 2016 On a hybrid finite-volume-particle method. Zbl 1077.65091 Chertock, Alina; Kurganov, Alexander 14 2004 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 14 2016 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 13 2015 Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. Zbl 1457.65063 Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander 13 2020 A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123 Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 13 2020 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 12 2006 Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020 Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 12 2015 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032 Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 12 2013 On a practical implementation of particle methods. Zbl 1103.65103 Chertock, Alina; Kurganov, Alexander 11 2006 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083 Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 11 2005 Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084 Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong 10 2022 An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192 Liu, Xin; Chertock, Alina; Kurganov, Alexander 10 2019 Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. Zbl 1446.76133 Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui 9 2020 A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 1488.76097 Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni 9 2018 Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115 Kurganov, Alexander; Miller, Jason 9 2014 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126 Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 8 2010 On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138 Kurganov, Alexander; Levy, Doron; Rosenau, Philip 8 1998 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 8 2005 Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078 Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren 8 2015 The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058 Kurganov, Alexander; Ranch, Jeffrey 7 2009 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115 Chertock, A.; Kashdan, E.; Kurganov, A. 6 2008 Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119 Kurganov, A.; Tadmor, E. 6 1997 Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093 Kurganov, Alexander; Petrova, Guergana 6 2006 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032 Chertock, Alina; Kurganov, Alexander 6 2008 Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035 Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus 6 2020 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 6 2019 Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics. Zbl 1499.65460 Kurganov, Alexander; Qu, Zhuolin; Rozanova, Olga S.; Wu, Tong 6 2021 Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058 Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 6 2021 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 Well-balanced path-conservative central-upwind schemes based on flux globalization. Zbl 07640539 Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao 5 2023 Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models. Zbl 1492.76083 Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao 5 2022 Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme. Zbl 1482.76087 Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 5 2021 Stochastic Galerkin method for cloud simulation. Zbl 1505.86001 Chertock, A.; Kurganov, A.; Lukáčová-Medvid’ová, M.; Spichtinger, P.; Wiebe, B. 5 2019 Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072 Constantin, Lucian A.; Kurganov, Alexander 4 2006 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 Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171 Chertock, Alina; Kurganov, Alexander 4 2009 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047 Chertock, Alina; Herty, Michael; Kurganov, Alexander 4 2014 Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws. Zbl 07511432 Garg, Naveen Kumar; Kurganov, Alexander; Liu, Yongle 4 2021 Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072 Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander 3 2016 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014 Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 3 2019 An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. Zbl 1502.76015 Ghazizadeh, Mohammad A.; Mohammadian, Abdolmajid; Kurganov, Alexander 3 2020 Local characteristic decomposition based central-upwind scheme. Zbl 07625389 Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 3 2023 Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. Zbl 1501.65050 Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 3 2022 An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234 Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu 3 2013 An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735 Kurganov, Alexander 2 2003 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 Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125 Chertock, Alina; Kurganov, Alexander 2 2005 Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system. Zbl 1320.76086 Yang, Suo; Kurganov, Alexander; Liu, Yingjie 2 2015 Finite-volume-particle methods for the two-component Camassa-Holm system. Zbl 1473.65135 Chertock, Alina; Kurganov, Alexander; Liu, Yongle 2 2020 Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. Zbl 1493.76068 Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander 2 2021 High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047 Chertock, Alina; Kurganov, Alexander 2 2019 Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography. Zbl 1464.65096 Chertock, Alina; Kurganov, Alexander; Wu, Tong 2 2020 Well-balanced path-conservative central-upwind schemes based on flux globalization. Zbl 07640539 Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao 5 2023 Local characteristic decomposition based central-upwind scheme. Zbl 07625389 Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 3 2023 Fifth-order A-WENO schemes based on the adaptive diffusion central-upwind Rankine-Hugoniot fluxes. Zbl 1524.65406 Wang, Bao-Shan; Don, Wai Sun; Kurganov, Alexander; Liu, Yongle 2 2023 Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes. Zbl 07769119 Chu, Shaoshuai; Kovyrkina, Olyana A.; Kurganov, Alexander; Ostapenko, Vladimir V. 1 2023 Fifth-order A-WENO path-conservative central-upwind scheme for behavioral non-equilibrium traffic models. Zbl 1520.76057 Chu, Shaoshuai; Kurganov, Alexander; Mohammadian, Saeed; Zheng, Zuduo 1 2023 Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations. Zbl 07640547 Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 1 2023 Well-balanced numerical method for atmospheric flow equations with gravity. Zbl 07689959 Chertock, Alina; Kurganov, Alexander; Wu, Tong; Yan, Jun 1 2023 Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084 Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong 10 2022 Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models. Zbl 1492.76083 Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao 5 2022 Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. Zbl 1501.65050 Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 3 2022 A well-balanced asymptotic preserving scheme for the two-dimensional rotating shallow water equations with nonflat bottom topography. Zbl 07556265 Kurganov, Alexander; Liu, Yongle; Lukáčová-Medviďová, Mária 2 2022 Fifth-order A-WENO schemes based on the path-conservative central-upwind method. Zbl 07592126 Chu, Shaoshuai; Kurganov, Alexander; Na, Mingye 1 2022 Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics. Zbl 1499.65460 Kurganov, Alexander; Qu, Zhuolin; Rozanova, Olga S.; Wu, Tong 6 2021 Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058 Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 6 2021 Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme. Zbl 1482.76087 Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 5 2021 Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws. Zbl 07511432 Garg, Naveen Kumar; Kurganov, Alexander; Liu, Yongle 4 2021 Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. Zbl 1493.76068 Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander 2 2021 Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. Zbl 1457.65063 Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander 13 2020 A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123 Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir 13 2020 Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. Zbl 1446.76133 Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui 9 2020 Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035 Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus 6 2020 An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. Zbl 1502.76015 Ghazizadeh, Mohammad A.; Mohammadian, Abdolmajid; Kurganov, Alexander 3 2020 Finite-volume-particle methods for the two-component Camassa-Holm system. Zbl 1473.65135 Chertock, Alina; Kurganov, Alexander; Liu, Yongle 2 2020 Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography. Zbl 1464.65096 Chertock, Alina; Kurganov, Alexander; Wu, Tong 2 2020 Central-upwind scheme for a non-hydrostatic Saint-Venant system. Zbl 1460.65105 Chertock, 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 1418.76033 Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong 33 2019 Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034 Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales 20 2019 An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192 Liu, Xin; Chertock, Alina; Kurganov, Alexander 10 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 6 2019 Stochastic Galerkin method for cloud simulation. Zbl 1505.86001 Chertock, A.; Kurganov, A.; Lukáčová-Medvid’ová, M.; Spichtinger, P.; Wiebe, B. 5 2019 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014 Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 3 2019 High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047 Chertock, Alina; Kurganov, Alexander 2 2019 One-dimensional/two-dimensional coupling approach with quadrilateral confluence region for modeling river systems. Zbl 1429.86003 Liu, Xin; Chertock, Alina; Kurganov, Alexander; Wolfkill, Karlan 1 2019 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 50 2018 Finite-volume schemes for shallow-water equations. Zbl 1430.76372 Kurganov, Alexander 37 2018 High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011 Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 23 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 23 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 16 2018 A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 1488.76097 Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni 9 2018 On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042 Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 2 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 16 2017 Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385 Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander 1 2017 Hybrid finite-volume-particle method for dusty gas flows. Zbl 1416.76143 Chertock, Alina; Cui, Shumo; Kurganov, Alexander 1 2017 Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317 Cheng, Yuanzhen; Kurganov, Alexander 20 2016 Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395 Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander 15 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 14 2016 Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072 Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander 3 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 32 2015 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038 Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao 27 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 13 2015 Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020 Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 12 2015 Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078 Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren 8 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 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 34 2014 Numerical study of two-species chemotaxis models. Zbl 1282.92011 Kurganov, Alexander; Lukáčová-Medviďová, Mária 28 2014 Pedestrian flow models with slowdown interactions. Zbl 1282.90041 Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya 19 2014 Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115 Kurganov, Alexander; Miller, Jason 9 2014 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047 Chertock, Alina; Herty, Michael; Kurganov, Alexander 4 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 A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337 Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian 55 2013 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032 Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 12 2013 An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234 Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu 3 2013 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033 Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping 79 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. 79 2012 New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112 Kurganov, Alexander; Liu, Yu 26 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 54 2011 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126 Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 8 2010 New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010 Epshteyn, Yekaterina; Kurganov, Alexander 50 2009 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230 Kurganov, Alexander; Petrova, Guergana 37 2009 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817 Kurganov, Alexander; Polizzi, Anthony 23 2009 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 17 2009 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143 Chertock, Alina; Kurganov, Alexander 15 2009 The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058 Kurganov, Alexander; Ranch, Jeffrey 7 2009 Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171 Chertock, Alina; Kurganov, Alexander 4 2009 Quasi-Lagrangian acceleration of Eulerian methods. Zbl 1364.76116 Kliakhandler, Igor; Kurganov, Alexander 1 2009 A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045 Chertock, Alina; Kurganov, Alexander 73 2008 Interface tracking method for compressible multifluids. Zbl 1232.76030 Chertock, Alina; Karni, Smadar; Kurganov, Alexander 19 2008 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115 Chertock, A.; Kashdan, E.; Kurganov, A. 6 2008 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032 Chertock, Alina; Kurganov, Alexander 6 2008 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008 Kurganov, Alexander; Petrova, Guergana 147 2007 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455 Kurganov, Alexander; Lin, Chitien 75 2007 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356 Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 66 2007 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145 Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 21 2007 On reaction processes with saturating diffusion. Zbl 1094.35063 Kurganov, Alexander; Rosenau, Philip 31 2006 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 12 2006 On a practical implementation of particle methods. Zbl 1103.65103 Chertock, Alina; Kurganov, Alexander 11 2006 Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093 Kurganov, Alexander; Petrova, Guergana 6 2006 Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072 Constantin, Lucian A.; Kurganov, Alexander 4 2006 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122 Kurganov, Alexander; Petrova, Guergana 45 2005 Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070 Karni, Smadar; Kurganov, Alexander 19 2005 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083 Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 11 2005 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 8 2005 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 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. 36 2004 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045 Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 17 2004 On a hybrid finite-volume-particle method. Zbl 1077.65091 Chertock, Alina; Kurganov, Alexander 14 2004 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 20 2003 An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735 Kurganov, Alexander 2 2003 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,302 Authors 82 Kurganov, Alexander 35 Chertock, Alina E. 21 Bürger, Raimund 21 Lukáčová-Medviďová, Mária 21 Shu, Chi-Wang 18 Xing, Yulong 17 Popov, Boyan 16 Guermond, Jean-Luc 15 Herty, Michael Matthias 15 Liu, Xin 14 Cai, Li 14 Dong, Jian 14 Feng, Jianhu 14 Wang, Qi 13 Gray, John Mark Nicholas Timm 13 Liu, Yongle 13 Qiu, Jianxian 12 Dehghan Takht Fooladi, Mehdi 12 Johnson, Christopher G. 12 Li, Gang 11 Klar, Axel 11 Seaïd, Mohammed 11 Xie, Wenxian 10 Dumbser, Michael 10 Fernández-Nieto, Enrique Domingo 10 Noelle, Sebastian 10 Ostapenko, Vladimir Viktorovich 10 Ricchiuto, Mario 10 Russo, Giovanni 10 Tadmor, Eitan 9 Abedian, Rooholah 9 Chu, Shaoshuai 9 Feng, Xinlong 9 Fu, Lin 9 Kang, Kyungkeun 9 Mohammadian, Abdolmajid M. 9 Omari, Pierpaolo 9 Tang, Huazhong 9 Wu, Tong 9 Xiao, Feng 8 Berthon, Christophe 8 Carrillo de la Plata, José Antonio 8 Chen, Guoxian 8 Don, Wai Sun 8 Epshteyn, Yekaterina 8 Kröker, Ilja 8 Kuzmin, Dmitri 8 Morales de Luna, Tomás 8 Mulet, Pep 8 Parés Madroñal, Carlos 8 Perthame, Benoît 8 Puppo, Gabriella 8 Qian, Shouguo 8 Rohde, Christian 7 Abgrall, Rémi 7 Benkhaldoun, Fayssal 7 Castro-Díaz, Manuel Jesús 7 Chalons, Christophe 7 Chen, Gui-Qiang G. 7 Dubey, Ritesh Kumar 7 Edwards, Andrew N. 7 Karlsen, Kenneth Hvistendahl 7 Karni, Smadar 7 Kovyrkina, Olyana A. 7 Li, Dingfang 7 Li, Jiequan 7 Liu, Hailiang 7 Pareschi, Lorenzo 7 Qamar, Shamsul 7 Winkler, Michael 7 Yang, Yang 7 Zheng, Yuxi 6 Abreu, Eduardo 6 Adams, Nikolaus A. 6 Banda, Mapundi Kondwani 6 Berres, Stefan 6 Campos, Juan 6 Caselles Costa, Vicent 6 Castro, Manuel J. 6 Chini, Gregory P. 6 De Luna, Manuel Quezada 6 Hesthaven, Jan S. 6 Hogg, Andrew J. 6 Klingenberg, Christian 6 López-Gómez, Julián 6 Loubère, Raphaël 6 Petrova, Guergana 6 Risebro, Nils Henrik 6 Roberts, Stephen Gwyn 6 Toro, Eleuterio Francisco 6 Villada, Luis Miguel 6 Wang, Baoshan 6 Wu, Kailiang 6 Xia, Yinhua 6 Xu, Yan 6 Zhang, Mengping 6 Zhang, Qian 6 Zhou, Jun 6 Zia, Saqib 5 Beljadid, Abdelaziz ...and 2,202 more Authors all top 5 Cited in 209 Serials 236 Journal of Computational Physics 129 Journal of Scientific Computing 98 Computers and Fluids 70 Journal of Fluid Mechanics 45 Computers & Mathematics with Applications 45 Applied Mathematics and Computation 44 Applied Numerical Mathematics 38 SIAM Journal on Scientific Computing 31 Computer Methods in Applied Mechanics and Engineering 28 M\(^3\)AS. 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