Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] acgh_v1_0.tar.gz(77 Kbytes)|
|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_0|
Distribution 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.|
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.
The solution method is based on Tikhonov regularization. For the determination of the regularization parameter the SC-method is used.
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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