Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] acgh_v1_0.tar.gz(77 Kbytes) | ||
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Manuscript Title: A reliable and fast method for the solution of Fredholm integral
equations of the first kind based on Tikhonov regularization. | ||

Authors: J. Weese | ||

Program title: FTIKREG | ||

Catalogue identifier: ACGH_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 69(1992)99 | ||

Programming language: Fortran. | ||

Computer: SUN SPARCSTATION I. | ||

Operating system: UNIX, MS-DOS. | ||

Supplementary material: A user manual is available. | ||

Keywords: General purpose, Fit, Fredholm integral Equation of the first Kind, Ill-posed problem, Tikhonov regularization. | ||

Classification: 4.9. | ||

Nature of problem:Experimental not accessible functions and distributions are often related to an experimental accessible quantity by a Fredholm integral equation of the first kind. Therefore the solution of the integral equation must be calculated from noisy experimental data, in order to determine such a function or distribution. | ||

Solution method:The solution method is based on Tikhonov regularization. For the determination of the regularization parameter the SC-method is used. | ||

Running time:For a large number n of data points the running time is proportional to n * ns**2. Thereby ns denotes the number of points at which the result is calculated. For a small number n of data points the running time is proportional to ns**3. |

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