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 | 1086 | 2001 |

Convergence rates for greedy algorithms in reduced basis methods P Binev, A Cohen, W Dahmen, R DeVore, G Petrova, P Wojtaszczyk SIAM journal on mathematical analysis 43 (3), 1457-1472, 2011 | 517 | 2011 |

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 | 483 | 2007 |

Nonlinear Approximation and (Deep) Networks I Daubechies, R DeVore, S Foucart, B Hanin, G Petrova Constructive Approximation 55 (1), 127-172, 2022 | 241 | 2022 |

Greedy algorithms for reduced bases in Banach spaces R DeVore, G Petrova, P Wojtaszczyk Constructive Approximation 37 (3), 455-466, 2013 | 194 | 2013 |

Neural network approximation R DeVore, B Hanin, G Petrova Acta Numerica 30, 327-444, 2021 | 170 | 2021 |

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 |

Streaming surface reconstruction using wavelets J Manson, G Petrova, S Schaefer Computer Graphics Forum 27 (5), 1411-1420, 2008 | 145 | 2008 |

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 | 136 | 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 | 129 | 2011 |

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 | 115 | 2005 |

Central-upwind schemes for two-layer shallow water equations A Kurganov, G Petrova SIAM Journal on Scientific Computing 31 (3), 1742-1773, 2009 | 114 | 2009 |

Data assimilation in reduced modeling P Binev, A Cohen, W Dahmen, R DeVore, G Petrova, P Wojtaszczyk SIAM/ASA Journal on Uncertainty Quantification 5 (1), 1-29, 2017 | 91 | 2017 |

A smoothness indicator for adaptive algorithms for hyperbolic systems S Karni, A Kurganov, G Petrova Journal of Computational Physics 178 (2), 323-341, 2002 | 91 | 2002 |

Instance-optimality in probability with an ℓ1-minimization decoder R DeVore, G Petrova, P Wojtaszczyk Applied and Computational Harmonic Analysis 27 (3), 275-288, 2009 | 81 | 2009 |

Linear transport equations with discontinuous coefficients G Petrova, B Popov Communications in partial differential equations 24 (9-10), 1849-1873, 1999 | 76 | 1999 |

Approximation of functions of few variables in high dimensions R DeVore, G Petrova, P Wojtaszczyk Constructive Approximation 33 (1), 125-143, 2011 | 73 | 2011 |

The averaging lemma R DeVore, G Petrova Journal of the American Mathematical Society 14 (2), 279-296, 2001 | 66 | 2001 |

Central schemes and contact discontinuities A Kurganov, G Petrova ESAIM: Mathematical Modelling and Numerical Analysis 34 (6), 1259-1275, 2000 | 58 | 2000 |