Inscriere cercetatori

Asociatia Ad Astra a cercetatorilor romani lanseaza BAZA DE DATE A CERCETATORILOR ROMANI DIN DIASPORA. Scopul acestei baze de date este aceea de a stimula colaborarea dintre cercetatorii romani de peste hotare dar si cu cercetatorii din Romania. Cercetatorii care doresc sa fie nominalizati in aceasta baza de date sunt rugati sa trimita un email la cristian.presura@gmail.com

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

Domenii publicaţii > Ştiinţe informatice + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Elena Bautu, Elena Pelican

Editorial: Romanian Journal of Physics, 52 (3-4), p.245-256, 2007.

Rezumat:

It is known that Fredholm integral equations of the first kind
int_0^1{k(s,t)x(t)}{mathrm d}t=y(s), sin [0,1] with the kernel frac{(s-t)^m}{[1-(s-t)^2]^n} 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 discretization by a collocation method and numerical solution using an approximate orthogonalization 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.

Cuvinte cheie: inverse problems, integral equation of the first kind, genetic programming // inverse problems, integral equation of the first kind, genetic programming

URL: http://www.nipne.ro/rjp/2007_52_3-4/0245_0257.pdf