Indirect Abel Inversions by Power Series and SALS

✍ Scribed by T. Shimizu; T. Horigome

• Book ID: 102134376
• Publisher: John Wiley and Sons
• Year: 1989
• Tongue: English
• Weight: 397 KB
• Volume: 29
• Category: Article
• ISSN: 0005-8025
• DOI: 10.1002/ctpp.2150290308

✦ Synopsis

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.