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Manuscript Title: A program for solving first kind Fredholm integral equations by means of regularization.
Authors: H.J.J. te Riele
Program title: F1REGU
Catalogue identifier: AABX_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 36(1985)423
Programming language: Fortran.
Computer: CDC CYBER 175-750.
Operating system: NOS/BE.
RAM: 60K words
Word size: 60
Keywords: General purpose, Other numerical, Fredholm integral Equation of the First kind, Regularization, Elastic electron Scattering atom, Dispersion relation.
Classification: 4.12.

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.

Running time:
Approximately proportional to the third power of the number of data points.