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International Journal for Numerical Methods in Engineering, 2019 In computational homogenization for periodic composites, the Lippmann‐Schwinger integral equation constitutes a convenient formulation to devise numerical methods to compute local fields and their macroscopic responses.
C. Bellis, H. Moulinec, P. Suquet
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ICO, un indice de la consistance ordinale d’une série statistique [PDF]
Tutorials in Quantitative Methods for PsychologyUne série numérique générée à partir d’un processus séquentiel montre-t-elle une tendance identifiable (monotonicité partielle ou complète), un désordre excessif, ou une simple variance d’erreur?
Laurencelle, Louis
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Discrete Fourier–Neumann series
Journal of Approximation Theory, 2004 Let Jμ denote the Bessel function of order μ. The system A formula is presented. with n = 0, 1,..., α> - 1, and where ps denotes the sth positive zero of Jα (ax), is orthonormal in l2 (ℕ). In this paper, we study the mean convergence of the Fourier series with respect to this system. Also, we describe the space in which the span of the system is dense.
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A new biased estimation method based on Neumann series for solving ill-posed problems
International Journal of Advanced Robotic Systems, 2019 The ill-posed least squares problems often arise in many engineering applications such as machine learning, intelligent navigation algorithms, surveying and mapping adjustment model, and linear regression model.
QW Yang
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A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations [PDF]
, 2016 A new representation for a regular solution of the perturbed Bessel equation of the form Lu=-u″+l(l+1)x2+q(x)u=ω2u $ Lu=-u^{\prime \prime }+\left( \frac{l(l+1)}{x^{2}}+q(x)\right) u=\omega ^{2}u $ is obtained.
V. Kravchenko +2 more
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WKB Approximation to the Power Wall [PDF]
, 2013 We present a semiclassical analysis of the quantum propagator of a particle confined on one side by a steeply, monotonically rising potential. The models studied in detail have potentials proportional to $x^{\alpha}$ for $x>0$; the limit $\alpha\to\infty$
Bouas, J. D. +3 more
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A Jentzsch-Theorem for Kapteyn, Neumann and General Dirichlet Series [PDF]
Computational Methods and Function Theory, 2022 AbstractComparing phase plots of truncated series solutions of Kepler’s equation by Lagrange’s power series with those by Bessel’s Kapteyn series strongly suggests that a Jentzsch-type theorem holds true not only for the former but also for the latter series: each point of the boundary of the domain of convergence in the complex plane is a cluster ...
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On the series solutions of integral equations in scattering
Comptes Rendus. MathématiqueWe study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems.
Triki, Faouzi, Karamehmedović, Mirza
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Isospectral domains with mixed boundary conditions
, 2006 We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M. Kac.Comment: 9 figures.
Brooks R +13 more
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Extension of Mathieu series and alternating Mathieu series involving the Neumann function $$Y_\nu $$
Periodica Mathematica Hungarica, 2022 AbstractThe main objective of this paper is to present a new extension of the familiar Mathieu series and the alternating Mathieu series S(r) and $${{\widetilde{S}}}(r)$$ S ~ ( r
Parmar, Rakesh K. +2 more
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