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Comparative study of acceleration techniques for integrals and series in electromagnetic problems
Author(s) -
Kinayman Noyan,
Aksun M. I.
Publication year - 1995
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/95rs02060
Subject(s) - series (stratigraphy) , acceleration , bessel function , order of integration (calculus) , range (aeronautics) , convergent series , transformation (genetics) , mathematics , mathematical analysis , physics , classical mechanics , power series , paleontology , biochemistry , chemistry , materials science , gene , composite material , biology
Most electromagnetic problems can be reduced to either integrating oscillatory integrals or summing up complex series. However, limits of the integrals and the series usually extend to infinity, and, in addition, they may be slowly convergent. Therefore numerically efficient techniques for evaluating the integrals or for calculating the sum of an infinite series have to be used to make the numerical solution feasible and attractive. In the literature there are a wide range of applications of such methods to various EM problems. In this paper our main aim is to critically examine the popular series transformation (acceleration) methods which are used in electromagnetic problems and to introduce a new acceleration technique for integrals involving Bessel functions and sinusoidal functions.