Results 21 to 30 of about 789 (216)

Estimates of the error of interval quadrature formulas on some classes of differentiable functions

Researches in Mathematics, 2020
The exact value of error of interval quadrature formulas $$\int_0^{2\pi}f(t)dt -\frac{\pi}{nh}\sum_{k=0}^{n-1}\int_{-h}^hf(t+\frac {2k\pi}{n})dt = R_n(f;\vec{c_0};\vec{x_0};h)$$ obtained for the classes $W^rH^{\omega} (r=1,2,...)$ of differentiable ...
V.P. Motornyi, D.A. Ovsyannikov
doaj   +1 more source

A Multilevel Heterogeneous ADMM Algorithm for Elliptic Optimal Control Problems with L¹-Control Cost

Mathematics, 2023
In this paper, elliptic optimal control problems with L1-control cost and box constraints on the control are considered. To numerically solve the optimal control problems, we use the First optimize, then discretize approach.
Xiaotong Chen, Xiaoliang Song, Zixuan Chen, Lijun Xu   +3 more
doaj   +1 more source

Comparison of optimal quadrature formulas

Numerische Mathematik, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bojanov, Borislav, Huang, Daren
openaire   +1 more source

Optimal quadrature formulas for approximate calculation of rapidly oscillating integrals

Results in Applied Mathematics
In this paper, we study the problem of constructing optimal formulas for approximate integration in the Sobolev space L2m˜0,1 of periodic functions. Using the functional approach, we obtain optimal quadrature formulas for the approximate calculation of ...
Kholmat Shadimetov, Anvar Adilkhodjaev, Otabek Gulomov   +2 more
doaj   +1 more source

Optimal Quadrature Formulas with Derivatives in the Space

, 2021
In the paper we consider an extension problem of the Euler-Maclaurin quadrature formula in the space   by constructing an optimal quadrature ...
Rashidjon, Rasulov, Sattorov, Abdusalom
core   +1 more source

Error Bounds for Optimal Definite Quadrature Formulae

Journal of Approximation Theory, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kohler, P., Nikolov, G.
openaire   +1 more source

Retinal Vessel Segmentation: A Comprehensive Review From Classical Methods to Deep Learning Advances (1982–2025)

Advanced Intelligent Systems, EarlyView.
Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal, Jan Kubíček, Jana Bahrová, Alice Varyšová, Martin Augustýnek, Marek Penhaker, Juraj Timkovič   +6 more
wiley   +1 more source

Optimal quadrature formulas using generalized inverses. I. General theory and minimum variance formulas

, 1971
This paper is the first of two papers concerning the derivation of optimal quadrature formulas. In Part I, we develop results concerning generalized inverses and use these results to derive some minimum variance quadrature formulas.
C. S. Duris
core   +1 more source

On optimal quadrature formulae

Journal of Inequalities and Applications, 2000
For integrals involving a nonnegative weight function on a finite interval the author proposes a procedure to construct quadrature formulas which are exact for solutions of linear differential equations and are optimal in the sense of Sard. The author establishes necessary and sufficient conditions for the existence of such formulas.
openaire   +3 more sources

Squeezed‐Vacuum Bosonic Codes

Advanced Physics Research, EarlyView.
ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in ...
Nir Gutman, Eliya Blumenthal, Shay Hacohen‐Gourgy, Ariel Orda, Ido Kaminer   +4 more
wiley   +1 more source