Guergana Petrova

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 20

Top Topics

Linear Approximation

Data Assimilation

Top Venues

IEEE Trans. Inf. Theory

SIAM/ASA J. Uncertain. Quantification

SIAM J. Numer. Anal.

Publications

Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova
Solving PDEs with Incomplete Information. SIAM J. Numer. Anal. 62 (3) (2024)
Andrea Bonito, Ronald A. DeVore, Guergana Petrova, Jonathan W. Siegel
Convergence and error control of consistent PINNs for elliptic PDEs. CoRR (2024)
Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
A note on best n-term approximation for generalized Wiener classes. CoRR (2024)
Guergana Petrova, Przemyslaw Wojtaszczyk
Neural networks: deep, shallow, or in between? CoRR (2023)
Ingrid Daubechies, Ronald A. DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky, Kung-Ching Lin, Josiah Park, Guergana Petrova, Barak Sober
Neural Network Approximation of Refinable Functions. IEEE Trans. Inf. Theory 69 (1) (2023)
Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova
Solving PDEs with Incomplete Information. CoRR (2023)
Albert Cohen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
Optimal Stable Nonlinear Approximation. Found. Comput. Math. 22 (3) (2022)
Guergana Petrova, Przemyslaw Wojtaszczyk
Limitations on approximation by deep and shallow neural networks. CoRR (2022)
Peter Binev, Andrea Bonito, Ronald A. DeVore, Guergana Petrova
Optimal Learning. CoRR (2022)
Guergana Petrova, Przemyslaw Wojtaszczyk
On the entropy numbers and the Kolmogorov widths. CoRR (2022)
Ingrid Daubechies, Ronald A. DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky, Kung-Ching Lin, Josiah Park, Guergana Petrova, Barak Sober
Neural Network Approximation of Refinable Functions. CoRR (2021)
Ronald A. DeVore, Boris Hanin, Guergana Petrova
Neural network approximation. Acta Numer. 30 (2021)
Guergana Petrova, Przemyslaw Wojtaszczyk
Lipschitz widths. CoRR (2021)
Ronald A. DeVore, Boris Hanin, Guergana Petrova
Neural Network Approximation. CoRR (2020)
Andrea Bonito, Albert Cohen, Ronald A. DeVore, Diane Guignard, Peter Jantsch, Guergana Petrova
Nonlinear Methods for Model Reduction. CoRR (2020)
Albert Cohen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
Optimal Stable Nonlinear Approximation. CoRR (2020)
Ingrid Daubechies, Ronald A. DeVore, Simon Foucart, Boris Hanin, Guergana Petrova
Nonlinear Approximation and (Deep) ReLU Networks. CoRR (2019)
Andrea Bonito, Albert Cohen, Ronald A. DeVore, Guergana Petrova, Gerrit Welper
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations. SIAM J. Math. Anal. 49 (2) (2017)
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
Data Assimilation in Reduced Modeling. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Hao Nguyen, Guergana Petrova
Extended Gaussian type cubatures for the ball. J. Comput. Appl. Math. 290 (2015)
Ronald A. DeVore, Guergana Petrova, Matthew Hielsberg, Luke Owens, Billy Clack, Alok Sood
Processing Terrain Point Cloud Data. SIAM J. Imaging Sci. 6 (1) (2013)
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
Convergence Rates for Greedy Algorithms in Reduced Basis Methods. SIAM J. Math. Anal. 43 (3) (2011)
Borislav Bojanov, Guergana Petrova
Quadrature formula for computed tomography. J. Approx. Theory 162 (10) (2010)
Borislav Bojanov, Guergana Petrova
Quadrature formulas for Fourier coefficients. J. Comput. Appl. Math. 231 (1) (2009)
Alexander Kurganov, Guergana Petrova
Central-Upwind Schemes for Two-Layer Shallow Water Equations. SIAM J. Sci. Comput. 31 (3) (2009)
Alexander Kurganov, Guergana Petrova, Bojan Popov
Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 29 (6) (2007)
Alina Chertock, Alexander Kurganov, Guergana Petrova
Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. J. Sci. Comput. 27 (1-3) (2006)
Alexander Kurganov, Guergana Petrova
Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians. J. Sci. Comput. 27 (1-3) (2006)
Ronald A. DeVore, Guergana Petrova, Vladimir N. Temlyakov
. Found. Comput. Math. 3 (2) (2003)
Alexander Kurganov, Sebastian Noelle, Guergana Petrova
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations. SIAM J. Sci. Comput. 23 (3) (2001)
Alexander Kurganov, Guergana Petrova
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Numerische Mathematik 88 (4) (2001)
Borislav Bojanov, Guergana Petrova
Numerical integration over a disc. A new Gaussian quadrature formula. Numerische Mathematik 80 (1) (1998)