Title :
Iterative algorithms for computation convolutions of atomic functions including new family cha;n(x)
Author :
Konovalov, Yaroslav Y.
Author_Institution :
Dept. of Higher Math., Bauman Moscow State Tech. Univ., Moscow, Russia
fDate :
May 28 2012-June 1 2012
Abstract :
Atomic functions are widely applied in interpolation, boundary-value problems, digital signal and image processing. In the report convolutions of atomic functions are discussed. It is shown that convolutions of atomic functions with same scale parameter are atomic functions too. Basing on this approach new family of atomic functions cha;n is presented. Iterative algorithms for computation of new functions are constructed.
Keywords :
differential equations; functional analysis; iterative methods; atomic function convolutions; cha,n(x); iterative algorithms; scale parameter; Accuracy; Approximation methods; Convolution; Diffraction; Equations; Iterative methods; Mathematical model;
Conference_Titel :
Days on Diffraction (DD), 2012
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4673-4418-0
DOI :
10.1109/DD.2012.6402765
