Numerical Solution For Fredholm First Kind Integral Equations Occurring In Synthesis of Electromagnetic Fields

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@Article{Bautu20071,
  author =       "Elena Bautu and Elena Pelican",
  title =        "Numerical Solution For {Fredholm} First Kind Integral
                 Equations Occurring In Synthesis of Electromagnetic
                 Fields",
  journal =      "Romanian Journal of Physics",
  year =         "2007",
  volume =       "52",
  pages =        "245--256",
  number =       "3-4",
  publisher =    "Romanian Academy Publishing House",
  keywords =     "genetic algorithms, genetic programming, Gene
                 Expression Programming, Fredholm integral equations of
                 the first kind, inverse problems",
  ISSN =         "1221-146X",
  URL =          "http://www.nipne.ro/rjp/2007_52_3-4/0245_0257.pdf",
  size =         "12 pages",
  abstract =     "It is known that Fredholm integral equations of the
                 first kind with the kernel occur when solving with
                 problems of synthesis of electrostatic and magnetic
                 fields (m, n nonnegative rational numbers). This paper
                 presents two approaches for solving such an equation.
                 The first one involves discretisation by a collocation
                 method and numerical solution using an approximate
                 orthogonalisation algorithm. The second method is based
                 on a nature inspired heuristic, namely genetic
                 programming. It applies genetically-inspired operators
                 to populations of potential solutions in the form of
                 program trees, in an iterative fashion, creating new
                 populations while searching for an optimal or
                 near-optimal solution to the problem at hand. Results
                 obtained in experiments are presented for both
                 approaches.",
  notes =        "Paper presented at the 7th International Balkan
                 Workshop on Applied Physics, 5-7 July 2006, Constanta,
                 Romania.

                 http://www.nipne.ro/rjp/",
}

Genetic Programming entries for Elena Bautu Elena Pelican