Refereed Publications:
-
B. Bojanov, G. Petrova
Quadrature formulae for Fourier coefficients, preprint
-
J. Manson, G. Petrova, S. Schaefer
Streaming surface
reconstruction using wavelets, submitted.
-
A. Kurganov, G. Petrova
Central-upwind schemes for two-layer shallow water equations, submitted.
-
R. DeVore, G. Petrova and P. Wojtaszczyk
Anisotropic smoothness spaces via level sets,
accepted.
-
A. Kurganov, G. Petrova
A Central-upwind scheme for landslides-generated water waves,
Hyperbolic Problems: Theory, Numerics, Applications (Lyon, 2006), 635--642, Springer, 2008.
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A. Chertock, A. Kurganov, G. Petrova
Fast Explicit Operator Splitting Method for Convection-Diffusion Equations,
to appear.
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A. Kurganov, G. Petrova and B. Popov
Adaptive semi-discrete central-upwind schemes for nonconvex
hyperbolic conservation laws,
SIAM J. Sci. Comput., 29 (2007), no. 6, 2381--2401.
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A. Kurganov, G. Petrova
A second-order well-balanced positivity preserving central-upwind scheme
for the Saint-Venant system,
Comm. Math. Sci., 5 (2007), no. 1, 133--160.
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P. Bechler, R. DeVore, A. Kamont, G. Petrova, P. Wojtaszczyk
Greedy wavelet projections are bounded on BV,
Trans. Amer. Math. Soc., 359 (2007), 637--648.
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A. Kurganov, G. Petrova
Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians,
J. Sci. Comput., 27 (2006), 323--333.
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A. Chertock, A. Kurganov and G. Petrova
Finite-Volume-Particle Methods for Models of Transport of Pollutant
in Shallow Water, J. Sci. Comput., 27 (2006), 189--199.
-
A. Chertock, A. Kurganov and G. Petrova
Fast Explicit Operator Splitting Method. Application to the Polymer System,
Proceedings of the Fourth International Symposium on Finite Volumes
for Complex Applications, Marrakech, 63--72,2005.
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A. Kurganov, G. Petrova
Central-Upwind Schemes on Triangular Grids for Hyperbolic Systems
of Conservation Laws, Numer. Methods Partial Differential Equations,
21 (2005), no. 3, 536--552.
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S. Bryson, A. Kurganov, D. Levy and G. Petrova
Semi-Discrete Central-Upwind Schemes with Reduced Dissipation
for Hamilton-Jacobi Equations, IMA J. Numer. Anal., 25 (2005), 113--138.
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D. Dimitrov, G. Petrova
Extended cubature formula of Turan type (0,2) for the ball,
Approximation theory, A volume dedicated to Borislav Bojanov,
64-72, 2004.
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S. Karni, E. Kirr, A. Kurganov and G. Petrova
Compressible Two-Phase Flows by Central and Upwind Schemes,
M2AN Math. Model. Numer. Anal., 38 (2004), no. 3, 477--493.
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Jesse Otero, Lubomira A. Dontcheva, Hans Johnston, Rodney A. Worthing,
A. Kurganov, Guergana Petrova and Charles R. Doering
High Raleigh Number Convection in a Fluid Saturated Porous Layer,
Journal of Fluid Mechanics, 500 (2004), 263-281.
-
Petrova, Guergana
Cubature formulae for spheres, simplices and balls,
J. Comput. Appl. Math. 162 (2004), no. 2, 483--496.
-
G. Petrova
Uniqueness of the Gaussian extended cubature for polyharmonic functions,
East J. Approx. 9 (2003), no. 3, 269--275.
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R. DeVore, G. Petrova and V. Temlyakov
Best basis selection for approximation in $L\sb p$,
Found. Comput. Math. 3 (2003), no. 2, 161--185.
- Petrova, Guergana
Cubature formulae for the sphere and the ball in $R^n$,
Proceedings volume of ``Constructive Theory of Functions'', Varna 2002,
(B. Bojanov, Ed.), DARBA, Sofia, 380-384, 2003.
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Karni, Smadar; Kurganov, Alexander; Petrova, Guergana
A smoothness indicator for adaptive algorithms for hyperbolic systems,
J. Comput. Phys. 178 (2002), no. 2, 323--341.
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Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
Semidiscrete central-upwind schemes for hyperbolic conservation
laws and Hamilton-Jacobi equations, SIAM J. Sci. Comput. 23
(2001), no. 3, 707--740 (electronic).
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Petrova, Guergana; Popov, Bojan
Linear transport equations with mu-monotone coefficients,
J. Math. Anal. Appl. 260 (2001), no. 2, 307--324.
-
Kurganov, Alexander; Petrova, Guergana
A third-order semi-discrete genuinely multidimensional
central scheme for hyperbolic conservation
laws and related problems, Numer. Math. 88 (2001), no. 4, 683--729.
- DeVore, Ronald; Petrova, Guergana
The averaging lemma, J. Amer. Math. Soc. 14 (2001),
no. 2, 279--296 (electronic).
- Kurganov, Alexander; Petrova, Guergana
Central schemes and contact discontinuities,
M2AN Math. Model. Numer. Anal. 34 (2000), no. 6, 1259--1275.
- Bojanov, Borislav; Petrova, Guergana
Uniqueness of the Gaussian quadrature for a ball, J.
Approx. Theory 104 (2000), no. 1, 21--44.
- Petrova, Guergana; Popov, Bojan
Linear transport equations with discontinuous coefficients,
Comm. Partial Differential Equations 24 (1999), no. 9-10, 1849--1873.
- Bojanov, Borislav; Petrova, Guergana
Numerical integration over a disc. A new Gaussian quadrature
formula, Numer. Math. 80 (1998), no. 1, 39--59.
- Bojanov, Borislav; Petrova, Guergana
On minimal cubature formulae for product weight functions,
J. Comput. Appl. Math. 85 (1997), no. 1, 113--121.
Nonrefereed Publications:
-
A. Kurganov, G. Petrova & B. Popov
Central-upwind schemes for hyperbolic conservation laws,
Proceedings of ``Iterative Methods, Preconditioning & Numerical PDEs'',
105-108, 2004.
-
A. Kurganov, R. Lazarov, D. Levy, G. Petrova & B. Popov
Eitan Tadmor-50, Comput. Methods Appl. Math., 4 (2004), no. 3, 265--270.
