Numerical solution of the Abel integral equation: application to plasma spectroscopy
| Autor: | B Cheminat, A M Halbique, P Andanson |
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| Rok vydání: | 1978 |
| Předmět: |
Acoustics and Ultrasonics
Line integral Electric-field integral equation Summation equation Condensed Matter Physics Integral equation Surfaces Coatings and Films Electronic Optical and Magnetic Materials Volume integral Abel transform Applied mathematics Nyström method Spline interpolation Mathematics |
| Zdroj: | Journal of Physics D: Applied Physics. 11:209-215 |
| ISSN: | 1361-6463 0022-3727 |
| DOI: | 10.1088/0022-3727/11/3/006 |
| Popis: | A direct interpolation method using spline functions is suggested for the inversion of the Abel integral equation. The continuous derivatives of these functions allow a better resolution of the first derivative involved in the integral. The exact calculation of the integral is presented for a polynomial of degree p. The method is easy to apply: the programme presented is very short and the results are very accurate. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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