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Indirect Abel Inversions by Power Series and SALS
Author(s) -
Shimizu T.,
Horigome T.
Publication year - 1989
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150290308
Subject(s) - series (stratigraphy) , power series , derivative (finance) , term (time) , mathematics , simple (philosophy) , algorithm , mathematical analysis , statistical physics , physics , quantum mechanics , geology , epistemology , financial economics , economics , paleontology , philosophy
Derivative‐free Abel inversions named here as ‘Indirect’ method is proved to be far superior to conventional ‘Direct’ method involving derivative term, by numerical experiments. With powerful least‐square fitting method named SALS developed at computer center of Tokyo University, and simple power‐series expansions of emission coefficient e(r) is sufficient without any iterations nor deconvolutions. 10‐test functions often used in literatures are treated and the result of numerical experiments show reconstructions reached to the ultimate of computer precisions.