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FORTRAN routines for computation of Special Functions

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All of these programs are written in FORTRAN-77 and tested on PCs and workstations. Therefore, they should run on any computer with implementation of the FORTRAN-77 standard. Although we have made a great effort to test these... See more » All of these programs are written in FORTRAN-77 and tested on PCs and workstations. Therefore, they should run on any computer with implementation of the FORTRAN-77 standard. Although we have made a great effort to test these programs, we would not be surprised to find some errors in them. We would appreciate it if you can bring to our attention any errors you find. You can do this by either writing us directly at the location (e-mail: j-jin1@uiuc.edu) or writing to the publisher. However, we must note that all these programs are provided "as is," and we cannot guarantee to correct the errors reported by readers on any fixed schedule. All the programs and subroutines contained in this archive are copyrighted. However, we give permission to the user who downloads these routines to incorporate any of these routines into his or her programs provided that the copyright is acknowledged. Regarding the specifics of the programs, we want to make the following two points: * All the programs are written in double precision. Although the use of double precision is necessary for some programs, especially for those based on series expansions, it is not necessary for all programs. For example, the computation of of special functions based on polynomial approximations does not have to use double precision. We chose to write all the programs using double precision in order to avoid possible confusion which may occur in using these programs. If necessary, you can convert the programs into the single precision format easily. However, doing so for some programs may lead to a lower accuracy. * In the main programs that calculate a sequence of special functions, we usually set the maximum order or degree to 100 or 250. However, this is not a limit. To compute functions with a higher order or degree, all you need to do is simply set the dimension of proper arrays higher. For detailed description of the algorithm of each program, please consult the book "Computation of Special Functions." Also see Errata (Please note that all file names of programs in this archive begin with an M, for example, MBERNOA.FOR. Go the the bottom of this page if you wish to download all the programs.) See less »

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code, fortran, numerical

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FORTRAN routines for computation of Special Functions

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