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Rational approximation to Neumann series of Bessel functions
Numerical Algorithms, 1992Rational approximations to the Bessel expansions (Neumann series) is constructed. This approach can be applied to obtain Padé type approximations to analytic functions without knowing the coefficients of the corresponding Taylor expansions.
Hayek Calil, Nácere +2 more
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VI.—Neumann-Series Solutions of the Ellipsoidal Wave Equation
Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, 1965SynopsisThe ellipsoidal wave equation is the name given to the ordinary differential equation which arises when the wave equation (Helmholtz equation) is separated in ellipsoidal co-ordinates. In this paper, solutions of the equation are expressed as Neumann series (series of Bessel functions of increasing order).
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NEUMANN SERIES SOLUTION FOR THE INTEGRAL BOLTZMANN TRANSPORT EQUATION
Acta Mathematica Scientia, 1986Summary: A method based on the Neumann series is proposed for solving stationary linear integral Boltzmann transport equations with variable energy for the case of both distributed and isotropic deltalike sources, by working in L p (1\(\leq p\leq \infty)\). The convergence of the Neumann series and the convergence rate are established.
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Convergence of the Neumann Series in Higher Norms
Communications in Partial Differential Equations, 2005Natural conditions on an operator A are given so that the Neumann series for (Id + A)−1 converges in higher norm topologies.
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Neumann Series Analysis of the Wigner Equation Solution
2016The existence and uniqueness of the electron transport Wigner equation solution, determined by boundary conditions, is analyzed in terms of the Neumann series expansion of the integral form of the equation, obtained with the help of Newton’s trajectories.
I. Dimov +3 more
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Summability of the Heine and Neumann Series of Legendre Polynomials
Canadian Journal of Mathematics, 1966With a holomorphic function f(z) defined in a domain H which includes the closed interval [—1, 1] we associate the Neumann series1where Pn(z), Qn(t) are, respectively, the nth Legendre polynomials of the first and second kind and γ is a closed and rectifiable Jordan curve which includes [— 1, 1] in its interior and is included, together with its ...
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Model-based identification of damage from sparse sensor measurements using Neumann series expansion
, 2017Ali Zare Hosseinzadeh +2 more
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IEEE Latin-American Conference on Communications, 2017
Juan Minango, C. D. Almeida
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Juan Minango, C. D. Almeida
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Inverse Laplace Transforms Expressed as Neumann Series
Journal of Mathematics and Physics, 1956openaire +1 more source

