Lanquart, J.-P. Error attenuation in Abel inversion. (English) Zbl 0494.65077 J. Comput. Phys. 47, 434-443 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 65R20 Numerical methods for integral equations 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) Keywords:error attenuation; Abel integral equation; optimal curve fitting; least squares; polynomial approximation Citations:Zbl 0196.511 PDFBibTeX XMLCite \textit{J. P. Lanquart}, J. Comput. Phys. 47, 434--443 (1982; Zbl 0494.65077) Full Text: DOI References: [1] Griem, H., Plasma Spectroscopy (1968), McGraw-Hill: McGraw-Hill New York [2] Ladenburg, R.; Winckler, J.; van Voorhis, C. G., Phys. Rev., 73, 11, 1359 (1948) [3] Nestor, O. H.; Olsen, H. N., SIAM Rev., 2, 3, 200 (1960) [4] Frie, W., Ann. Phys. (Leipzig), 7, 10, 332 (1963) [5] Edels, H.; Hearne, K.; Young, A., J. Math. Phys., 41, 62 (1962) [6] Atkinson, K. E., SIAM J. Numer. Anal., 11, 1, 97 (1974) [7] Ugniewski, S., Comput. Phys. Commun., 14, 155 (1978) [8] Bockasten, K., J. Opt. Soc. Am., 51, 9, 943 (1961) [9] Barr, W., J. Opt. Soc. Am., 52, 8, 885 (1962) [10] Cremers, C. J.; Birkebak, R. C., Appl. Opt., 5, 6, 1057 (1966) [11] Ugniewski, S.; Sadowski, M., Acta Phys. Pol. A, A51, 293 (1977) [12] Minerbo, G. N.; Levy, M. E., SIAM J. Numer. Anal., 6, 4, 598 (1969) [13] Linsman, M., Analyse numérique (1972), Université de Liege: Université de Liege Liège [14] Linnik, Y. V., Méthodes des moindres carrés (1963), Dunod: Dunod Paris [15] Friedman, J. H., (Smoothing Techniques for Curve Estimation. Smoothing Techniques for Curve Estimation, Lectures Notes in Mathematics No. 757 (1979), Springer-Verlag: Springer-Verlag Berlin/New York/Heidelberg), 5 [16] Glasser, J.; Chapelle, J.; Boettner, J. C., Appl. Opt., 17, 23, 3750 (1978) [17] Stanisavuevic, M.; Konjevic, N., Fizika (Zagreb), 4, 13 (1972) [18] Kasperczuk, A.; Paduch, M.; Pokora, L.; Wereszczynski, Z., J. Tech. Phys., 19, 1, 137 (1978) [19] Balasubramanian, R.; Norrie, D. H.; Devries, G., Int. J. Numer. Methods Eng., 14, 201 (1979) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.