Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aabx_v1_0.gz(4 Kbytes)|
|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.|
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.
The first kind Fredholm integral equations is solved by means of the regularization method of Tihonov and Phillips.
Approximately proportional to the third power of the number of data points.
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