On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces [PDF]
Computer Science Journal of Moldova, 2000 We investigate in this paper problems of theoretical foundation of collocations and mechanical quadratures methods for approximate solution of singular integral equation systems in the case, when their symbols have on the integration contour a finite set
T. Cibotaru
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Quadrature and Harmonic L 1 -Approximation in Annuli [PDF]
Transactions of the American Mathematical Society, 1989 Open sets D D in R N ( N ≥ 3 ) {R^N}\;(N \geq 3) with the property that D ¯ \bar D is a closed annulus { x : r
D. H. Armitage, M. Goldstein
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An efficient high-order Nystr\"om scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface [PDF]
, 2015 This text proposes a fast, rapidly convergent Nystr\"{o}m method for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by inhomogeneous obstacles, while allowing the ...
Anand, Akash +3 more
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Effect of Correlated Non-Gaussian Quadratures on the Performance of Binary Modulations
Journal of Electrical and Computer Engineering, 2011 The received signal in many wireless communication systems comprises of the sum of waves with random amplitudes and random phases. In general, the composite signal consists of correlated nonidentical Gaussian quadrature components due to the central ...
Valentine A. Aalo, George P. Efthymoglou
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Iterative methods of Ambartsumian equations’ solutions. Part 2
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. Ambartsumian equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology.
I.V. Boykov, A.A. Pivkina
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Contact problem of torsion of a multilayer base with elastic connections between layers
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Torsion of a multilayer base with elastic connections between layers by cylindrical punch with a flat sole was considered. The Hankel integral transform of the first order and the method of the compliance functions were used.
Nina N Antonenko, Igor G Velichko
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Sampling, Marcinkiewicz–Zygmund inequalities, approximation, and quadrature rules [PDF]
Journal of Approximation Theory, 2020 Given a sequence of Marcinkiewicz-Zygmund inequalities in $L^2$, we derive approximation theorems and quadrature rules. The derivation is completely elementary and requires only the definition of Marcinkiewicz-Zygmund inequality, Sobolev spaces, and the solution of least square problems.
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On the Spectrum of Field Quadratures for a Finite Number of Photons
, 2012 The spectrum and eigenstates of any field quadrature operator restricted to a finite number $N$ of photons are studied, in terms of the Hermite polynomials.
Abramowitz M +19 more
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Anatomy of Fluorescence: Quantum trajectory statistics from continuously measuring spontaneous emission [PDF]
, 2015 We investigate the continuous quantum measurement of a superconducting qubit undergoing fluorescence. The fluorescence of the qubit is detected via a phase-preserving heterodyne measurement, giving the fluorescence quadrature signals as two continuous ...
Chantasri, Areeya +3 more
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AN APPROXIMATE METHODS FOR SOLVING POLYSINGULAR INTEGRAL EQUATIONS IN DEGENERATE CASES
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. This work is devoted to the study of sets of functions in which the condition of unique solvability of degenerate polysingular integral equations is satisfied, and to the construction of approximate methods for solving polysingular integral
I. V. Boykov +2 more
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