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Guergana Petrova
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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
10862001
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
5172011
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
4832007
Nonlinear Approximation and (Deep) Networks
I Daubechies, R DeVore, S Foucart, B Hanin, G Petrova
Constructive Approximation 55 (1), 127-172, 2022
2412022
Greedy algorithms for reduced bases in Banach spaces
R DeVore, G Petrova, P Wojtaszczyk
Constructive Approximation 37 (3), 455-466, 2013
1942013
Neural network approximation
R DeVore, B Hanin, G Petrova
Acta Numerica 30, 327-444, 2021
1702021
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
1542007
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
1522001
Streaming surface reconstruction using wavelets
J Manson, G Petrova, S Schaefer
Computer Graphics Forum 27 (5), 1411-1420, 2008
1452008
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
1362004
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
1292011
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
1152005
Central-upwind schemes for two-layer shallow water equations
A Kurganov, G Petrova
SIAM Journal on Scientific Computing 31 (3), 1742-1773, 2009
1142009
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
912017
A smoothness indicator for adaptive algorithms for hyperbolic systems
S Karni, A Kurganov, G Petrova
Journal of Computational Physics 178 (2), 323-341, 2002
912002
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
812009
Linear transport equations with discontinuous coefficients
G Petrova, B Popov
Communications in partial differential equations 24 (9-10), 1849-1873, 1999
761999
Approximation of functions of few variables in high dimensions
R DeVore, G Petrova, P Wojtaszczyk
Constructive Approximation 33 (1), 125-143, 2011
732011
The averaging lemma
R DeVore, G Petrova
Journal of the American Mathematical Society 14 (2), 279-296, 2001
662001
Central schemes and contact discontinuities
A Kurganov, G Petrova
ESAIM: Mathematical Modelling and Numerical Analysis 34 (6), 1259-1275, 2000
582000
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