F1REGU swMATH ID: 11845 Software Authors: te Riele, Herman J.J. Description: A program for solving first kind Fredholm integral equations by means of regularization. Nature of problem: Fredholm integral equations of the first kind arise in the mathematical analysis of many physical problems. An important characteristic of such problems is that the information which we seek about a physical quantity A can only be obtained indirectly, by measuring some other quantity B which has some connection with A. Often, this connection can be expressed mathematically in terms of a Fredholm first kind integral equation. Solution method: The first kind Fredholm integral equations is solved by means of the regularization method of Tihonov and Phillips. Homepage: http://www.cpc.cs.qub.ac.uk/summaries/AABX_v1_0.html Keywords: FORTRAN 77; first kind; Tikhonov regularization; elastic; electron-atom scattering; dispersion relation Related Software: UTV Cited in: 4 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A program for solving first kind Fredholm integral equations by means of regularization. Zbl 0578.65137te Riele, Herman J. J. 1985 all top 5 Cited by 11 Authors 1 Bahmanpour, Maryam 1 Braga, Joao Paulo 1 Delves, L. M. 1 Dos Santos, José Paulo Carvalho 1 Essah, W. A. 1 Lemes, Nelson H. T. 1 Maleki, Mohammad Reza 1 Santos, Taináh M. R. 1 Tavares, Camila A. 1 Tavassoli-Kajani, Majid 1 te Riele, Herman Cited in 4 Serials 1 Computer Physics Communications 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 Inverse Problems in Science and Engineering Cited in 3 Fields 4 Numerical analysis (65-XX) 3 Integral equations (45-XX) 1 Partial differential equations (35-XX) Citations by Year