New high-resolution central schemes for nonlinear conservation laws and convection–diffusion equations A Kurganov, E Tadmor Journal of computational physics 160 (1), 241-282, 2000 | 2335 | 2000 |
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton--Jacobi equations A Kurganov, S Noelle, G Petrova SIAM Journal on Scientific Computing 23 (3), 707-740, 2001 | 1101 | 2001 |
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system A Kurganov, G Petrova Communications in Mathematical Sciences 5 (1), 133-160, 2007 | 493 | 2007 |
Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers A Kurganov, E Tadmor Numerical Methods for Partial Differential Equations: An International …, 2002 | 468 | 2002 |
Central-upwind schemes for the Saint-Venant system A Kurganov, D Levy ESAIM: Mathematical Modelling and Numerical Analysis 36 (3), 397-425, 2002 | 383 | 2002 |
A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations A Kurganov, D Levy SIAM Journal on Scientific Computing 22 (4), 1461-1488, 2000 | 342 | 2000 |
On the reduction of numerical dissipation in central-upwind schemes A Kurganov, CT Lin Commun. Comput. Phys 2 (1), 141-163, 2007 | 236 | 2007 |
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws A Kurganov, G Petrova, B Popov SIAM Journal on Scientific Computing 29 (6), 2381-2401, 2007 | 154 | 2007 |
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems A Kurganov, G Petrova Numerische Mathematik 88 (4), 683-729, 2001 | 152 | 2001 |
New high-resolution semi-discrete central schemes for Hamilton–Jacobi equations A Kurganov, E Tadmor Journal of Computational Physics 160 (2), 720-742, 2000 | 148 | 2000 |
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models A Chertock, A Kurganov Numerische Mathematik 111, 169-205, 2008 | 146 | 2008 |
A well-balanced reconstruction of wet/dry fronts for the shallow water equations A Bollermann, G Chen, A Kurganov, S Noelle Journal of Scientific Computing 56, 267-290, 2013 | 143 | 2013 |
High-Rayleigh-number convection in a fluid-saturated porous layer J Otero, LA Dontcheva, H Johnston, RA Worthing, A Kurganov, G Petrova, ... Journal of Fluid Mechanics 500, 263-281, 2004 | 138 | 2004 |
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system S Bryson, Y Epshteyn, A Kurganov, G Petrova ESAIM: Mathematical Modelling and Numerical Analysis 45 (3), 423-446, 2011 | 131 | 2011 |
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach A Chertock, K Fellner, A Kurganov, A Lorz, PA Markowich Journal of fluid mechanics 694, 155-190, 2012 | 129 | 2012 |
Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms A Chertock, S Cui, A Kurganov, T Wu International Journal for numerical methods in fluids 78 (6), 355-383, 2015 | 119 | 2015 |
Central-upwind schemes for two-layer shallow water equations A Kurganov, G Petrova SIAM Journal on Scientific Computing 31 (3), 1742-1773, 2009 | 117 | 2009 |
On a chemotaxis model with saturated chemotactic flux A Chertock, A Kurganov, X Wang, Y Wu Kinet. Relat. Models 5 (1), 51-95, 2012 | 116 | 2012 |
Central‐upwind schemes on triangular grids for hyperbolic systems of conservation laws A Kurganov, G Petrova Numerical Methods for Partial Differential Equations: An International …, 2005 | 116 | 2005 |
New interior penalty discontinuous Galerkin methods for the Keller–Segel chemotaxis model Y Epshteyn, A Kurganov SIAM Journal on Numerical Analysis 47 (1), 386-408, 2008 | 105 | 2008 |