Results 11 to 20 of about 37,248 (196)

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

Results in Applied Mathematics
This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
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Polynomial Spline Collocation Method for Solving Weakly Regular Volterra Integral Equations of the First Kind

Известия Иркутского государственного университета: Серия "Математика", 2022
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels.
Aleksandr Tynda, Samad Noeiaghdam, Denis Sidorov   +2 more
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A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes

Mathematics, 2023
A nonlinear equation f(x)=0 is mathematically transformed to a coupled system of quasi-linear equations in the two-dimensional space. Then, a linearized approximation renders a fractional iterative scheme xn+1=xn−f(xn)/[a+bf(xn)], which requires one ...
Chein-Shan Liu, Essam R. El-Zahar, Chih-Wen Chang   +2 more
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Accuracy and Stability of Computing High-Order Derivatives of Analytic Functions by Cauchy Integrals [PDF]

, 2010
High-order derivatives of analytic functions are expressible as Cauchy integrals over circular contours, which can very effectively be approximated, e.g., by trapezoidal sums.
A. Borodin, A. Böttcher, A. Gil, A. Giroux, A. Wiman, A. Wiman, A. Zygmund, A.A. Gol’dberg, A.E. Taylor, A.I. Markushevich, A.M. Odlyzko, A.M. Odlyzko, A.V. Batyrev, B. Fornberg, B. Fornberg, B.J. Levin, E.L. Basor, F. Bornemann, F. Gensun, Folkmar Bornemann, G. Faber, G. Miel, G. Pólya, G. Valiron, G. Valiron, G. Valiron, G.E. Andrews, G.H. Hardy, G.N. Watson, H.S. Wilf, I.M. Gessel, J. Baik, J. Hadamard, J. Müller, J.B. Garnett, J.L. Walsh, J.N. Lyness, L.N. Trefethen, M. Abramowitz, M.L. Mehta, N.G. Bruijn de, N.J. Higham, O. Blumenthal, P. Deuflhard, P. Dienes, P. Flajolet, P. Hartman, P. Henrici, P.D. Lax, P.D. Miller, P.J. Davis, P.J. Davis, R. Wong, W. Gautschi, W.K. Hayman, W.K. Hayman, Y.L. Luke   +56 more
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Optimization of the Exponential Bounds on the Gaussian Q Function Using Interior Point Algorithm and Its Application in Communication Theory

IEEE Open Journal of the Communications Society, 2022
Owing to various applications in the field of wireless communication systems, in this paper, using vector-based interior-point algorithm, we propose a generic methodology which optimizes simple exponential based approximations of the Gaussian $Q ...
Aditya Powari, Dharmendra Sadhwani, Lalita Gupta, Ram Narayan Yadav   +3 more
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Optimal Numerical Integration

Кібернетика та комп'ютерні технології, 2020
Introduction. In many applied problems, such as statistical data processing, digital filtering, computed tomography, pattern recognition, and many others, there is a need for numerical integration, moreover, with a given (often quite high) accuracy ...
V.K. Zadiraka, L.V. Luts, I.V. Shvidchenko   +2 more
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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

Loophole-free test of quantum non-locality using high-efficiency homodyne detectors [PDF]

, 2004
We provide a detailed analysis of the recently proposed setup for a loophole-free test of Bell inequality using conditionally generated non-Gaussian states of light and balanced homodyning.
J. S. Bell, J. S. Bell, Jaromír Fiurášek, Nicolas J. Cerf, Raúl García-Patrón   +4 more
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Low Complexity Golden Code Analytical and Deep Learning-Based Sphere-Decoders for High-Density M-QAM

IEEE Access, 2022
In this paper, we develop low complexity Golden code sphere-decoding (SD) algorithms for high-density M-ary quadrature amplitude modulation (M-QAM). We define the high-density M-QAM as having modulation orders ( $M$ ) of at least 64, i.e.
Bhekisizwe Mthethwa, Hongjun Xu
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Three-points interfacial quadrature for geometrical source terms on nonuniform grids [PDF]

, 2011
International audienceThis paper deals with numerical (finite volume) approximations, on nonuniform meshes, for ordinary differential equations with parameter-dependent fields.
A. Harten, A. Quarteroni, B. Fornberg, B. Gustafsson, B. Perthame, B. Wendroff, C. Arvanitis, C. Simeoni, C.L. Epstein, C.R. Doering, Chiara Simeoni, D. Bresch, E. Hairer, E. Hairer, E. Turkel, E.F. Toro, F. Bouchut, H.F. Wang, J. Pike, J.D. Hoffman, K.P. Hadeler, L.R. Bentley, M. Hinze, M.E. Gurtin, M.E. Hubbard, M.J. Berger, O.V. Vasilyev, R.J. LeVeque, S.N. Kružkov, Th. Katsaounis, Th. Katsaounis, Theodoros Katsaounis   +31 more
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