Guergana Petrova

CoRR, 2024

Convergence and error control of consistent PINNs for elliptic PDEs.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Neural Network Approximation of Refinable Functions.

[BibT_eX]

[DOI]

Ingrid Daubechies

Nadav Dym

Shira Faigenbaum-Golovin

IEEE Trans. Inf. Theory, 2023

Limitations on approximation by deep and shallow neural networks.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2023

Neural networks: deep, shallow, or in between?

[BibT_eX]

[DOI]

CoRR, 2023

2022

Optimal Stable Nonlinear Approximation.

[BibT_eX]

[DOI]

Albert Cohen

Found. Comput. Math., 2022

Optimal Learning.

[BibT_eX]

[DOI]

CoRR, 2022

On the entropy numbers and the Kolmogorov widths.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Neural network approximation.

[BibT_eX]

[DOI]

Boris Hanin

Acta Numer., May, 2021

Lipschitz widths.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Nonlinear Methods for Model Reduction.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Nonlinear Approximation and (Deep) ReLU Networks.

[BibT_eX]

[DOI]

CoRR, 2019

2017

Diffusion Coefficients Estimation for Elliptic Partial Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2017

Data Assimilation in Reduced Modeling.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2017

2015

Extended Gaussian type cubatures for the ball.

[BibT_eX]

[DOI]

Hao Nguyen

J. Comput. Appl. Math., 2015

2013

Processing Terrain Point Cloud Data.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2013

2011

Convergence Rates for Greedy Algorithms in Reduced Basis Methods.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2011

2010

Quadrature formula for computed tomography.

[BibT_eX]

[DOI]

Borislav Bojanov

J. Approx. Theory, 2010

2009

Central-Upwind Schemes for Two-Layer Shallow Water Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

Quadrature formulas for Fourier coefficients.

[BibT_eX]

[DOI]

Borislav Bojanov

J. Comput. Appl. Math., 2009

2007

Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws.

[BibT_eX]

[DOI]

Bojan Popov

SIAM J. Sci. Comput., 2007

2006

Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians.

[BibT_eX]

[DOI]

J. Sci. Comput., 2006

Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water.

[BibT_eX]

[DOI]

Alina Chertock

J. Sci. Comput., 2006

2003

Best Basis Selection for Approximation in L<sub>p</sub>.

[BibT_eX]

[DOI]

Vladimir N. Temlyakov

Found. Comput. Math., 2003

2001

Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations.

[BibT_eX]

[DOI]

Sebastian Noelle

SIAM J. Sci. Comput., 2001

A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2001

1998

Numerical integration over a disc. A new Gaussian quadrature formula.

[BibT_eX]

[DOI]

Borislav Bojanov