Guergana Petrova | Academic Influence

Guergana Petrova's AcademicInfluence.com Rankings

Guergana Petrova

Mathematics

#4406

World Rank

#6267

Historical Rank

Applied Mathematics

#463

World Rank

#495

Historical Rank

Measure Theory

#3676

World Rank

#4337

Historical Rank

mathematics Degrees

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Mathematics

Guergana Petrova's Degrees

PhD Applied Mathematics Sofia University
Masters Mathematics Sofia University
Bachelors Mathematics Sofia University

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Why Is Guergana Petrova Influential?

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According to Wikipedia, Guergana Petrova is an applied mathematician known for her research on numerical methods for solving differential equations. She is a professor of mathematics at Texas A&M University. Education and career Petrova earned bachelor's and master's degrees from Sofia University. She moved to the US for her doctoral studies, completing a Ph.D. at the University of South Carolina.

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Guergana Petrova's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations (2001) (717)
Convergence Rates for Greedy Algorithms in Reduced Basis Methods (2010) (436)
A SECOND-ORDER WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME FOR THE SAINT-VENANT SYSTEM ∗ (2007) (353)
Greedy Algorithms for Reduced Bases in Banach Spaces (2012) (142)
Streaming Surface Reconstruction Using Wavelets (2008) (117)
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems (2001) (112)
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system (2011) (105)
High-Rayleigh-number convection in a fluid-saturated porous layer (2004) (105)
Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws (2007) (103)
Central‐upwind schemes on triangular grids for hyperbolic systems of conservation laws (2005) (89)
Instance-optimality in probability with an ℓ1-minimization decoder (2009) (89)
Central-Upwind Schemes for Two-Layer Shallow Water Equations (2009) (85)
Neural network approximation (2020) (75)
Approximation of Functions of Few Variables in High Dimensions (2011) (73)
Data Assimilation in Reduced Modeling (2015) (73)
A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems (2002) (59)
CENTRAL SCHEMES AND CONTACT DISCONTINUITIES (2000) (48)
Fast explicit operator splitting method for convection–diffusion equations (2009) (43)
The averaging lemma (2000) (43)
Compressible two-phase flows by central and upwind schemes (2004) (34)
Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water (2006) (31)
Numerical integration over a disc. A new Gaussian quadrature formula (1998) (29)
Adaptive Semi-Discrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws (2006) (28)
Linear transport equations with discontinuous coefficients (1999) (27)
Greedy Strategies for Convex Optimization (2014) (24)
Semi-discrete central-upwind schemes with reduced dissipation for Hamilton–Jacobi equations (2005) (23)
On minimal cubature formulae for product weight functions (1997) (22)
Data assimilation and sampling in Banach spaces (2016) (22)
Best Basis Selection for Approximation in Lp (2003) (22)
Nonlinear Approximation and (Deep) $$\mathrm {ReLU}$$ ReLU Networks (2021) (21)
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations (2016) (21)
Optimal Stable Nonlinear Approximation (2020) (20)
Progressive encoding and compression of surfaces generated from point cloud data (2012) (20)
Uniqueness of the Gaussian Quadrature for a Ball (2000) (18)
Greedy wavelet projections are bounded on BV (2006) (15)
Computing a Quantity of Interest from Observational Data (2018) (15)
Polynomial Approximation of Anisotropic Analytic Functions of Several Variables (2019) (15)
Adaptive Central-Upwind Schemes for Hamilton–Jacobi Equations with Nonconvex Hamiltonians (2006) (13)
Linear Transport Equations with μ-Monotone Coefficients (2001) (12)
Quadrature formulas for Fourier coefficients (2009) (12)
Cubature formulae for spheres, simplices and balls (2004) (11)
A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides (2008) (10)
Rescaled Pure Greedy Algorithm for Hilbert and Banach Spaces (2015) (10)
Nonlinear Methods for Model Reduction (2020) (10)
Processing Terrain Point Cloud Data (2013) (9)
Uniqueness of the Gaussian extended cubature for polyharmonic functions (2003) (8)
Encoding normal vectors using optimized spherical coordinates (2012) (8)
Fast Explicit Operator Splitting Method . Application to the Polymer System (2006) (8)
Quadrature formulae for Fourier coefficients (2008) (7)
Data Assimilation in Banach spaces (2016) (6)
Generalized Gauss–Radau and Gauss–Lobatto formulas with Jacobi weight functions (2017) (6)
On Matching Point Configurations (2012) (5)
Neural Network Approximation of Refinable Functions (2021) (5)
Finding the Minimum of a Function (2013) (5)
Quadrature formulae for Fourier coecients (2008) (4)
Central‐Upwind Scheme on Triangular Grids for the Saint‐Venant System of Shallow Water Equations (2011) (4)
Extended Gaussian type cubatures for the ball (2015) (4)
Rescaled Pure Greedy Algorithm for convex optimization (2015) (4)
Model Classes, Approximation, and Metrics for Dynamic Processing of Urban Terrain Data (2013) (3)
Extended Cubature Formula of Turán Type ( 0 , 2 ) for the Ball (2004) (3)
Compressed Semi-Discrete Central-Upwind Schemes for Hamilton-Jacobi Equations (2003) (2)
Quadrature formula for computed tomography (2010) (2)
The Averaging Lemma (Preprint) (1999) (1)
Anisotropic smoothness spaces via level sets (2008) (1)
Cubature Formulae for the Sphere and the Ball in R (2018) (0)
Solving PDEs with Incomplete Information (2023) (0)
Greedy Wavelet Proje tions are Bounded on BV (2019) (0)
Lipschitz Widths (2021) (0)
Diffusion Coefficients Estimation for Elliptic Equations (2017) (0)
Computing a Quantity of Interest from Observational Data (2018) (0)
Greedy Wavelet Projections are Bounded on BV (Preprint) (2003) (0)
Limitations on approximation by deep and shallow neural networks (2022) (0)
Generalized Gauss–Radau and Gauss–Lobatto formulas with Jacobi weight functions (2016) (0)
Polynomial Approximation of Anisotropic Analytic Functions of Several Variables (2020) (0)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS Best Basis Selection for Approximation in L p (2003) (0)
Rescaled Pure Greedy Algorithm for convex optimization (2019) (0)
O C ] 1 4 M ay 2 01 5 RESCALED PURE GREEDY ALGORITHM FOR CONVEX OPTIMIZATION (2018) (0)
Eitan Tadmor-50 (2004) (0)
Data assimilation and sampling in Banach spaces (2017) (0)
Optimal Algorithms for Computing Average Temperatures (2019) (0)
On the entropy numbers and the Kolmogorov widths (2022) (0)
EEG-derived indexes for monitoring the depth of anesthesia. (2018) (0)
Greedy Strategies for Convex Optimization (2016) (0)
Greedy Algorithms for Reduced Bases in Banach Spaces (2013) (0)

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What Schools Are Affiliated With Guergana Petrova?

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