HR job title
- Professor
- Contact Info
- 1 979 845 5298
Petrova, Guergana Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
- Contact
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Overview
Publications
selected publications
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academic article
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Binev, P., Bonito, A., Cohen, A., Dahmen, W., DeVore, R., & Petrova, G.
(2024).
Solving PDEs with Incomplete Information. SIAM Journal on Numerical Analysis.
62(3), 1278-1312.
-
DeVore, R., Petrova, G., & Wojtaszczyk, P.
(2017).
Data assimilation and sampling in Banach spaces. Calcolo.
54(3), 963-1007.
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Petrova, G.
(2017).
Generalized GaussRadau and GaussLobatto formulas with Jacobi weight functions. BIT Numerical Mathematics.
57(1), 191-206.
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Hao, N., & Petrova, G.
(2017).
Greedy Strategies for Convex Optimization. Calcolo.
54(1), 207-224.
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Bonito, A., Cohen, A., DeVore, R., Petrova, G., & Welper, G.
(2017).
DIFFUSION COEFFICIENTS ESTIMATION FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS. SIAM Journal on Mathematical Analysis.
49(2), 1570-1592.
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Petrova, G.
(2016).
Rescaled pure greedy algorithm for Hilbert and Banach spaces. Applied and Computational Harmonic Analysis.
41(3), 852-866.
-
Hao, N., & Petrova, G.
(2015).
Extended Gaussian type cubatures for the ball. Journal of Computational and Applied Mathematics.
290, 209-223.
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DeVore, R., Petrova, G., & Wojtaszczyk, P.
(2013).
Greedy Algorithms for Reduced Bases in Banach Spaces. Constructive Approximation.
37(3), 455-466.
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DeVore, R., Petrova, G., Hielsberg, M., Owens, L., Clack, B., & Sood, A.
(2013).
Processing Terrain Point Cloud Data. SIAM Journal on Imaging Sciences.
6(1), 1-31.
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Smith, J., Petrova, G., & Schaefer, S.
(2012).
Encoding normal vectors using optimized spherical coordinates. Computers and Graphics (UK).
36(5), 360-365.
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Smith, J., Petrova, G., & Schaefer, S.
(2012).
Progressive encoding and compression of surfaces generated from point cloud data. Computers and Graphics (UK).
36(5), 341-348.
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Bryson, S., Epshteyn, Y., Kurganov, A., & Petrova, G.
(2011).
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. 45(3), 423-446.
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DeVore, R., Petrova, G., & Wojtaszczyk, P.
(2011).
Approximation of Functions of Few Variables in High Dimensions. Constructive Approximation.
33(1), 125-143.
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Binev, P., Cohen, A., Dahmen, W., DeVore, R., Petrova, G., & Wojtaszczyk, P.
(2011).
Convergence Rates for Greedy Algorithms in Reduced Basis Methods. SIAM Journal on Mathematical Analysis.
43(3), 1457-1472.
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Bojanov, B., & Petrova, G.
(2010).
Quadrature formula for computed tomography. Journal of Approximation Theory.
162(10), 1788-1792.
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DeVore, R., Petrova, G., & Wojtaszczyk, P.
(2009).
Instance-optimality in probability with an 1-minimization decoder. Applied and Computational Harmonic Analysis.
27(3), 275-288.
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Bojanov, B., & Petrova, G.
(2009).
Quadrature formulas for Fourier coefficients. Journal of Computational and Applied Mathematics.
231(1), 378-391.
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Kurganov, A., & Petrova, G.
(2009).
Central-Upwind Schemes for Two-Layer Shallow Water Equations. SIAM Journal on Scientific Computing.
31(3), 1742-1773.
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DeVore, R. A., Petrova, G., & Wojtaszczyk, P.
(2008).
Anisotropic smoothness spaces via level sets. Communications on Pure and Applied Mathematics.
61(9), 1264-1297.
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Manson, J., Petrova, G., & Schaefer, S.
(2008).
Streaming Surface Reconstruction Using Wavelets. Computer Graphics Forum.
27(5), 1411-1420.
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Manson, J., Petrova, G., & Schaefer, S.
(2008).
Streaming surface reconstruction using wavelets. Computer Graphics Forum.
27(5), 1411-1420.
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Kurganov, A., & Petrova, G.
(2007).
A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System. COMMUNICATIONS IN MATHEMATICAL SCIENCES.
5(1), 133-160.
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Kurganov, A., Petrova, G., & Popov, B.
(2007).
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. SIAM Journal on Scientific Computing.
29(6), 2381-2401.
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Bechler, P., DeVore, R., Kamont, A., Petrova, G., & Wojtaszczyk, P.
(2006).
Greedy wavelet projections are bounded on BV. Transactions of the American Mathematical Society.
359(2), 619-635.
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Kurganov, A., & Petrova, G.
(2005).
Centralupwind schemes on triangular grids for hyperbolic systems of conservation laws. Numerical Methods for Partial Differential Equations.
21(3), 536-552.
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Bryson, S.
(2005).
Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. IMA Journal of Numerical Analysis.
25(1), 113-138.
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Karni, S., Kirr, E., Kurganov, A., & Petrova, G.
(2004).
Compressible two-phase flows by central and upwind schemes. 38(3), 477-493.
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Petrova, G.
(2004).
Cubature formulae for spheres, simplices and balls. Journal of Computational and Applied Mathematics.
162(2), 483-496.
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OTERO, J., DONTCHEVA, L. A., JOHNSTON, H., WORTHING, R. A., KURGANOV, A., PETROVA, G., & DOERING, C. R.
(2004).
High-Rayleigh-number convection in a fluid-saturated porous layer. Journal of Fluid Mechanics.
500(500), 263-281.
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Ronald DeVore, .., Guergana Petrova, .., & Vladimir Temlyakov.
(2003).
Best Basis Selection for Approximation in Lp. Foundations of Computational Mathematics.
3(2), 161-185.
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Karni, S., Kurganov, A., & Petrova, G.
(2002).
A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems. Journal of Computational Physics.
178(2), 323-341.
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Petrova, G., & Popov, B.
(2001).
Linear Transport Equations with -Monotone Coefficients. Journal of Mathematical Analysis and Applications.
260(2), 307-324.
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DeVore, R., & Petrova, G.
(2001).
The averaging lemma. Journal of the American Mathematical Society.
14(2), 279-296.
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Kurganov, A., & Petrova, G.
(2001).
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Numerische Mathematik.
88(4), 683-729.
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Kurganov, A., Noelle, S., & Petrova, G.
(2001).
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations. SIAM Journal on Scientific Computing.
23(3), 707-740.
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Kurganov, A., & Petrova, G.
(2000).
Central schemes and contact discontinuities. 34(6), 1259-1275.
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Bojanov, B., & Petrova, G.
(2000).
Uniqueness of the Gaussian Quadrature for a Ball. Journal of Approximation Theory.
104(1), 21-44.
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Petrova, G., & Popov, B.
(1999).
Linear transport equations with discontinuous coefficients. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS.
24(9-10), 1849-1873.
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Bojanov, B., & Petrova, G.
(1998).
Numerical integration over a disc. A new Gaussian quadrature formula. Numerische Mathematik.
80(1), 39-59.
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Bojanov, B., & Petrova, G.
(1997).
On minimal cubature formulae for product weight functions. Journal of Computational and Applied Mathematics.
85(1), 113-121.
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Binev, P., Bonito, A., Cohen, A., Dahmen, W., DeVore, R., & Petrova, G.
(2024).
Solving PDEs with Incomplete Information. SIAM Journal on Numerical Analysis.
62(3), 1278-1312.
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conference paper
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Bryson, S., Epshteyn, Y., Kurganov, A., Petrova, G., Simos, T. E., Psihoyios, G., Tsitouras, C. h., & Anastassi, Z.
(2011).
CentralUpwind Scheme on Triangular Grids for the SaintVenant System of Shallow Water Equations. AIP Conference Proceedings.
686-689.
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Chertock, A., Kurganov, A., & Petrova, G.
(2009).
Fast explicit operator splitting method for convectiondiffusion equations. International Journal for Numerical Methods in Fluids.
309-332.
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Kurganov, A., & Petrova, G.
(2006).
Adaptive Central-Upwind Schemes for HamiltonJacobi Equations with Nonconvex Hamiltonians. Journal of Scientific Computing.
323-333.
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Chertock, A., Kurganov, A., & Petrova, G.
(2006).
Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. Journal of Scientific Computing.
189-199.
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Bryson, S., Epshteyn, Y., Kurganov, A., Petrova, G., Simos, T. E., Psihoyios, G., Tsitouras, C. h., & Anastassi, Z.
(2011).
CentralUpwind Scheme on Triangular Grids for the SaintVenant System of Shallow Water Equations. AIP Conference Proceedings.
686-689.
Research
co-principal investigator on
- Numerical Methods for Parametric Partial Differential Equations awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2021
- High Performance Computational Structure For Parameter Estimations of Parametric Partial Differential Equations awarded by United States Department of the Navy - (Arlington, Virginia, United States) 2017 - 2018
- Numerical Methods for High Dimensional Partial Differential Equations awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2018
- Atd Collaborative Research: Theory and Algorithms for High Dimensional Learning awarded by National Science Foundation - (Arlington, Virginia, United States) 2012 - 2015
- Numerical Methods for Solving Parametric PDEs awarded by United States Department of the Navy - (Arlington, Virginia, United States) 2011 - 2015
Teaching
teaching activities
- MATH308 Differential Equations Instructor
- MATH417 Numerical Methods Instructor
- MATH437 Princ Of Numerical Analy Instructor
- MATH609 Numerical Analysis Instructor
- MATH660 Comp Linear Algebra Instructor
- MATH685 Directed Studies Instructor
Works By Students
chaired theses and dissertations
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Gao, Zheming (2016-04). Rescaled Pure Greedy Algorithm for Convex Optimization.
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Nguyen, Hao Thanh (2013-08). Greedy Strategies for Convex Minimization.
Background
education and training
- Ph.D. in Mathematics, University of South Carolina - (Columbia, South Carolina, United States) 1999
- M.S. in Mathematics, Sofia University - (Palo Alto, California, United States) 1993
- B.S. in Mathematics, Sofia University - (Palo Alto, California, United States) 1991
Contact
first name
- Guergana
has last name
- Petrova
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- gpetrova@tamu.edu