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Analytical and numerical solutions of some integral equations in radiation transport theory (1994)

Maino, G. ; Lorenzutta, S. ; Dattoli, G. ; [et al.]

Springer

Il nuovo cimento della Società Italiana di Fisica 16 (1994), S. 1325-1338

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ISSN: 0392-6737

Keywords: Free-electron lasers ; Integral equations ; Functional analysis ; Conference proceedings

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Summary We discuss some mathematical and computational problems relevant to the solutions of both linear and non-linear integral equations arising in radiation transport. By means of a functional-operator approach, analytic solutions for the FEL (Free Electron Laser) integral equations are found in terms of Bessel-Clifford functions. As for applications of this method to non-linear equations, the same technique allows us to obtain an efficient yet simple algorithm for the numerical solution of the Ambartsumian-ChandrasekharH-equation corresponding to a Neumann-series expansion.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02458819

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