Numerical integration over a disc. A new Gaussian quadrature formula. - Borislav Bojanov; Guergana Petrova (Numerische Mathematik, 1998)

A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. - Alexander Kurganov; Guergana Petrova (Numerische Mathematik, 2001)

Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations. - Alexander Kurganov; Sebastian Noelle; Guergana Petrova (SIAM J. Sci. Comput., 2001)

Best Basis Selection for Approximation in Lp. - Ronald A. DeVore; Guergana Petrova; Vladimir N. Temlyakov (Found. Comput. Math., 2003)

Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. - Alina Chertock; Alexander Kurganov; Guergana Petrova (J. Sci. Comput., 2006)

Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians. - Alexander Kurganov; Guergana Petrova (J. Sci. Comput., 2006)

Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws. - Alexander Kurganov; Guergana Petrova; Bojan Popov (SIAM J. Sci. Comput., 2007)

Quadrature formulas for Fourier coefficients. - Borislav Bojanov; Guergana Petrova (J. Comput. Appl. Math., 2009)

Central-Upwind Schemes for Two-Layer Shallow Water Equations. - Alexander Kurganov; Guergana Petrova (SIAM J. Sci. Comput., 2009)

Quadrature formula for computed tomography. - Borislav Bojanov; Guergana Petrova (J. Approx. Theory, 2010)

Convergence Rates for Greedy Algorithms in Reduced Basis Methods. - Peter Binev; Albert Cohen 002; Wolfgang Dahmen; Ronald A. DeVore; Guergana Petrova; Przemyslaw Wojtaszczyk (SIAM J. Math. Anal., 2011)

Processing Terrain Point Cloud Data. - Ronald A. DeVore; Guergana Petrova; Matthew Hielsberg; Luke Owens; Billy Clack; Alok Sood (SIAM J. Imaging Sci., 2013)

Extended Gaussian type cubatures for the ball. - Hao Nguyen; Guergana Petrova (J. Comput. Appl. Math., 2015)

Data Assimilation in Reduced Modeling. - Peter Binev; Albert Cohen 002; Wolfgang Dahmen; Ronald A. DeVore; Guergana Petrova; Przemyslaw Wojtaszczyk (SIAM/ASA J. Uncertain. Quantification, 2017)

Diffusion Coefficients Estimation for Elliptic Partial Differential Equations. - Andrea Bonito; Albert Cohen 002; Ronald A. DeVore; Guergana Petrova; Gerrit Welper (SIAM J. Math. Anal., 2017)

Nonlinear Approximation and (Deep) ReLU Networks. - Ingrid Daubechies; Ronald A. DeVore; Simon Foucart; Boris Hanin; Guergana Petrova (CoRR, 2019)

Nonlinear Methods for Model Reduction. - Andrea Bonito; Albert Cohen 002; Ronald A. DeVore; Diane Guignard; Peter Jantsch; Guergana Petrova (CoRR, 2020)

Lipschitz widths. - Guergana Petrova; Przemyslaw Wojtaszczyk (CoRR, 2021)

Neural network approximation. - Ronald A. DeVore; Boris Hanin; Guergana Petrova (Acta Numer., 2021)

On the entropy numbers and the Kolmogorov widths. - Guergana Petrova; Przemyslaw Wojtaszczyk (CoRR, 2022)

Optimal Learning. - Peter Binev; Andrea Bonito; Ronald A. DeVore; Guergana Petrova (CoRR, 2022)

Optimal Stable Nonlinear Approximation. - Albert Cohen 002; Ronald A. DeVore; Guergana Petrova; Przemyslaw Wojtaszczyk (Found. Comput. Math., 2022)

Neural networks: deep, shallow, or in between? - Guergana Petrova; Przemyslaw Wojtaszczyk (CoRR, 2023)

Limitations on approximation by deep and shallow neural networks. - Guergana Petrova; Przemyslaw Wojtaszczyk (J. Mach. Learn. Res., 2023)

Neural Network Approximation of Refinable Functions. - Ingrid Daubechies; Ronald A. DeVore; Nadav Dym; Shira Faigenbaum-Golovin; Shahar Z. Kovalsky; Kung-Ching Lin; Josiah Park; Guergana Petrova; Barak Sober (IEEE Trans. Inf. Theory, 2023)

Convergence and error control of consistent PINNs for elliptic PDEs. - Andrea Bonito; Ronald A. DeVore; Guergana Petrova; Jonathan W. Siegel (CoRR, 2024)

A note on best n-term approximation for generalized Wiener classes. - Ronald A. DeVore; Guergana Petrova; Przemyslaw Wojtaszczyk (CoRR, 2024)

Solving PDEs with Incomplete Information. - Peter Binev; Andrea Bonito; Albert Cohen 002; Wolfgang Dahmen; Ronald A. DeVore; Guergana Petrova (SIAM J. Numer. Anal., 2024)

Optimal Recovery Meets Minimax Estimation. - Ronald A. DeVore; Robert D. Nowak; Rahul Parhi; Guergana Petrova; Jonathan W. Siegel (CoRR, 2025)