Results 31 to 40 of about 575 (217)
On optimal quadrature formulae
Journal of Inequalities and Applications, 2000 A procedure to construct quadrature formulae which are exact for solutions of linear differential equations and are optimal in the sense of Sard is discussed. We give necessary and sufficient conditions under which such formulae do exist.
Lanzara Flavia
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Quadrature-Inspired Generalized Choquet Integral in an Application to Classification Problems
IEEE Access, 2023 Correct classification remains a challenge for researchers and practitioners developing algorithms. Even a minor enhancement in classification quality, for instance, can significantly boost the effectiveness of detecting conditions or anomalies in safety
Pawel Karczmarek +8 more
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Quadrature formulas for Fourier coefficients
Journal of Computational and Applied Mathematics, 2009 \textit{C. A. Micchelli} and \textit{T. J. Rivlin} [IBM J. Res. Develop. 16, 372--379 (1972; Zbl 0288.65013)] discovered the remarkable fact that the quadrature \[ \int^1_{-1}T_n(t)f(t)\frac{dt}{\sqrt{1-t^2}}\approx \frac{\pi}{n2^n}f'[\xi_1, \dots,\xi_n] \] is exact for all algebraic polynomials of degree \(\leq 3n-1\), where \[ T_n(t):=\cos(n\text{arc}
Bojanov, Borislav, Petrova, Guergana
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
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Ultrahigh‐Order Harmonic Mode‐Locked Optoelectronic Oscillator
Laser &Photonics Reviews, EarlyView.This article demonstrates a record‐breaking microwave frequency comb generator using an ultrahigh‐harmonic‐order mode‐locked optoelectronic oscillator. By integrating dual recirculating loops into a low‐coherence system, the researchers achieved a harmonic order of 956 with superior noise suppression.
Zhuoran Wang +3 more
wiley +1 more source
Journal of Numerical Analysis and Approximation Theory, 2017 Some Ostrowski-type inequalities are stated for \(L_p[u,v]\) spaces and for mappings of bounded variations. Applications are also given for obtaining error bounds of some composite quadrature formulae.
Nazia Irshad, Asif R. Khan
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Engineering Reports, 2023 To design a flexure hinge with high precision and high natural frequency, the sinusoidal flexure hinge is proposed in this article. First, the formulae for the compliance and precision factors of the hinge were derived based on the Euler–Bernoulli beam ...
Qiliang Wang +4 more
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Evaluation of Quantum Annealer Performance via the Massive MIMO Problem
IEEE Access, 2021 Quantum annealing offers an appealing route to handle large-scale optimization problems. Existing Quantum Annealing processing units are readily available via cloud platform access for solving Quadratic Unconstrained Binary Optimization (QUBO) problems ...
Zsolt I. Tabi +5 more
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Quadrature formulas using derivatives [PDF]
Mathematics of Computation, 1965 1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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