Refereed Publications:

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• R. DeVore, G. Petrova, P. Wojtaszczyk
  Approximation of Functions of Few Variables in High Dimensions, submitted

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• S. Bryson, Y. Epshteyn, A. Kurganov, G. Petrova
  Well-balanced Positivity Preserving Central-Upwind Scheme on Triangular Grids for the Saint-Venant System, submitted

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• R. DeVore, G. Petrova, P. Wojtaszczyk
  Instance-optimality in Probability with an l_1-Minimization Decoder, to appear

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• B. Bojanov, G. Petrova
  Quadrature Formula for Computed Tomography, accepted in J. Approx. Theory.

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• B. Bojanov, G. Petrova
  Quadrature formulas for Fourier coefficients, J. Comp. Applied Math., 231 (2009), 378--391.

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• A. Kurganov, G. Petrova
  Central-upwind schemes for two-layer shallow water equations,SIAM J. SCi. Comput., 31(3) (2009), 1742--1773.

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• A. Chertock, A. Kurganov, G. Petrova
  Fast Explicit Operator Splitting Method for Convection-Diffusion Equations, Int. J. Numer. Meth. Fluids, 59 (2009), no. 3, 309--332.

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• J. Manson, G. Petrova, S. Schaefer
  Streaming surface reconstruction using wavelets, Computer Graphics Forum (Proceedings of the Symposium on Geometry Processing), 27 (2008), no. 5, 1411--1420.

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• R. DeVore, G. Petrova and P. Wojtaszczyk
  Anisotropic smoothness spaces via level sets, Commun. Pur Appl. Math., 61 (2008), no. 9, 1264--1297.

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• 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. Kurganov, G. Petrova and B. Popov
  Adaptive semi-discrete central-upwind schemes for nonconvex hyperbolic conservation laws, SIAM J. Sci. Comput., 29(6) (2007), 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(1) (2007), 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.

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• 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(3) (2005), 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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• J. Otero, L. Dontcheva, H. Johnston, R. Worthing, A. Kurganov, G. Petrova and C. Doering
  High Raleigh Number Convection in a Fluid Saturated Porous Layer, Journal of Fluid Mechanics, 500 (2004), 263--281.

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• G. Petrova
  Cubature formulae for spheres, simplices and balls, J. Comput. Appl. Math. 162(2) (2004), 483--496.

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• 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.

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• G. Petrova
  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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• S. Karni, A. Kurganov, G. Petrova
  A smoothness indicator for adaptive algorithms for hyperbolic systems, J. Comput. Phys. 178 (2002), no. 2, 323--341.

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• A. Kurganov, S. Noelle, G. Petrova
  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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• G. Petrova, B. Popov
  Linear transport equations with mu-monotone coefficients, J. Math. Anal. Appl. 260 (2001), no. 2, 307--324.

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• A. Kurganov, G. Petrova
  A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems, Numer. Math. 88 (2001), no. 4, 683--729.

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• R. DeVore, G. Petrova
  The averaging lemma, J. Amer. Math. Soc. 14 (2001), no. 2, 279--296 (electronic).

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• A. Kurganov, G. Petrova
  Central schemes and contact discontinuities, M2AN Math. Model. Numer. Anal. 34 (2000), no. 6, 1259--1275.

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• B. Bojanov, G. Petrova
  Uniqueness of the Gaussian quadrature for a ball, J. Approx. Theory 104 (2000), no. 1, 21--44.

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• G. Petrova, B. Popov
  Linear transport equations with discontinuous coefficients, Comm. Partial Differential Equations 24 (1999), no. 9-10, 1849--1873.

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• B. Bojanov, G. Petrova
  Numerical integration over a disc. A new Gaussian quadrature formula, Numer. Math. 80 (1998), no. 1, 39--59.

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• B. Bojanov, G. Petrova
  On minimal cubature formulae for product weight functions, J. Comput. Appl. Math. 85 (1997), no. 1, 113--121.

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