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
1170 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
536 2011 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system A Kurganov, G Petrova
522 2007 Nonlinear Approximation and (Deep) I Daubechies, R DeVore, S Foucart, B Hanin, G Petrova
Constructive Approximation 55 (1), 127-172, 2022
335 2022 Neural network approximation R DeVore, B Hanin, G Petrova
Acta Numerica 30, 327-444, 2021
276 2021 Greedy algorithms for reduced bases in Banach spaces R DeVore, G Petrova, P Wojtaszczyk
Constructive Approximation 37 (3), 455-466, 2013
213 2013 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
166 2007 Streaming surface reconstruction using wavelets J Manson, G Petrova, S Schaefer
Computer Graphics Forum 27 (5), 1411-1420, 2008
157 2008 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
155 2001 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
149 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
139 2011 Central-upwind schemes for two-layer shallow water equations A Kurganov, G Petrova
SIAM Journal on Scientific Computing 31 (3), 1742-1773, 2009
125 2009 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
117 2005 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
109 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
90 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
83 2009 Linear transport equations with discontinuous coefficients G Petrova, B Popov
Communications in partial differential equations 24 (9-10), 1849-1873, 1999
77 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
67 2001 Optimal stable nonlinear approximation A Cohen, R DeVore, G Petrova, P Wojtaszczyk
Foundations of Computational Mathematics 22 (3), 607-648, 2022
60 2022 